Hello there! For today, we have another video about probability. For this video, the focus is on a good skill that you should know: Picture Probability. You've probably heard the saying "a picture is worth a thousand words". In this case, the picture isn't worth that many words but its worth quite a bit. When given a word problem, you can definitely write down all the information given and slowly calculate what you need. Sometimes, its better to draw a picture that represents what the problem is giving you and what you need to find. This is called picture probability. In this video, I go over 3 practice problems that are much easier to solve because we are able to visualize it and see exactly what we need.

Sections in this video:
0:00 Introduction to Picture Probability
0:22 Practice Problem #1
4:06 Practice Problem #2
7:56 Practice Problem #3
13:18 Outro and Support my channel

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello! For today's video, I have 6 different questions geared towards SAT, ACT, STAR, etc. standardized tests. The topic for these 6 practice problems are linear equations. The best way to utilize this video is to pause the video before I solve the problem and see if you can solve it. If you find that you can solve all these problems without watching me solve them, then you have a solid understanding of this topic. If you find that you need a little guidance while working through these problems, I hope that this video helps!

For one of the questions, you need to use the distance formula. If you need a refresher or are seeing it for the first time, take a look at this video on how to remember the distance formula: hhttps://www.bitchute.com/video/S6myaZeRnWae/

For the questions that ask for a line parallel or perpendicular to the given line, you need to remember how the slope of those lines relate to that of the given line. I made a video previously about the slope of a parallel line and perpendicular line, you can watch it here: https://www.bitchute.com/video/dHYAHORafA70/

A key thing you'll notice in these 6 problems are they test you on a number of different formulas so make sure you know your slope formula, point-slope form, and slope-intercept form. You can actually just remember the slope formula and derive the other two from the slope. Here's another video I did that talks about this: https://www.bitchute.com/video/jYXqj3taVJYQ/

Sections in this video:
0:00 Introduction to SAT Practice Problems Topic
1:40 SAT Practice Problem #1
4:43 SAT Practice Problem #2
7:49 SAT Practice Problem #3
10:31 SAT Practice Problem #4
14:30 SAT Practice Problem #5
17:15 SAT Practice Problem #6
23:21 Outro and Support my channel

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello there! Get ready for a long video today! It's a bit longer than most of the other videos but that's because we are talking about hyperbolas today. Hyperbolas are a bit more complicated just because there is SO MUCH vocabulary involved in it. For the first section of this video, I go over the different vocabulary relating to hyperbolas and what they are referencing. Afterwards, I break down the formula of the hyperbolas in 1.) a generalized format and 2.) an even more generalized version. And then... as usual, we go over several example problems on the topic to help you solidify your understanding!

Sections in this video:
0:00 Intro to Graphing Hyperbolas
1:57 Vocabulary Relating to Hyperbolas
7:10 General Formula of Hyperbolas
11:38 More General Formula of Hyperbolas
13:51 Example #1
18:44 Example #2
24:03 Outro and Support my channel

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Hello! I really enjoy these logic type topics so I quite enjoyed making this video! When I first encountered the truth table, it wasn't in a mathematics class. Many people I knew first learned about the truth table in a computer programming class or a logic type class. The key to understanding the truth table and the logic behind it is being organized. Be organized and you'll be able to follow along. For the first portion of the video, I walk you through the truth table and creating the truth table.

Shorthand Symbols You Will Encounter:
V = or
upside down V (looks like an A without the line): and
T = true
F = false
¬ (looks like a top right corner) = not

Sections in this video:
0:00 Introduction to Logic and True/False
1:40 Walking through the Truth Tables
5:19 Example #1
8:13 Example #2
11:16 Example #3
13:32 Outro and Support my channel

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello there! For today's video, I talk about a different approach to computing multiplication problems. The standard method that we learned in school for multiplication was to physically multiply all the numbers out and line up the digits, this is called long multiplication. This was the traditional method on multiplying numbers. Today, I go over a math magic trick, a different way to see multiplication. You will need to know how to square numbers really quickly, so if you haven't seen that video already, check it out here: https://www.bitchute.com/video/iFHBDh8hkn8R/

First thing you need to check is whether or not the two numbers you are multiplying together are either both odd or both even. This rule only applies if the two numbers are both odd or both even. The difference between the two numbers will always be even in these cases.

We can rewrite the numbers into (a+b) • (a-b) which is a^2 - b^2. The b is half of the difference between the two numbers. By breaking it down, you can quickly compute the multiplication problem. Initially, this method may seem a bit daunting but with practice, this will be a great trick to use when trying to impress your classmates or your family.

0:00 Introduction to Multiplication
4:32 Math Explained Behind this Magic Trick w/ Example #1
9:06 Example #2
12:27 Example #3
13:47 Outro and Support my channel

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Hi there! I recently did a video that was an introduction to probability. You can check it out here: https://www.bitchute.com/video/5mVNXnJYNTxz/

For today's video, I will go into a little more detail. Continuing on the topic of probability, there are slight nuances that we need to pay attention to. Most probability type problems are in the form of a word problem. Pay attention to the scenario mentioned in the problem because the probability changes depending on the situation. The different components are independent, dependent, and, or. For this video, we will be referring to "or" as an "exclusive or".

Independent: the current situation is not affected by the previous situation
Dependent: the current situation is affect by the previous situation
And: both
Or: either or but not both

Not all problems will straight out tell you whether it is "independent" or "dependent", "and" or "or". I cover 3 examples of different scenarios where a combination of the above are used. Let's take a look!

0:00 What is Independent, Dependent, And, Or?
3:56 Problem #1
6:59 Problem #2
10:07 Problem #3
13:12 Outro and Support my channel

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Hello everyone, in preparation for today's video, I found some math problems from past math competitions. I've never attempted these problems before but let's have some fun! I love these problems because there is a sense of mystery in this because you're not sure what to expect. These problems take from any topic that might have been from a textbook, a teacher or honestly anywhere is fair game. If you haven't checked out my video on the other sets of competition problems I attempted, you can watch it here

Set 1: https://www.bitchute.com/video/vzJhDkUVJQwp/
Set 2: https://www.bitchute.com/video/RtJ6oFXp3uNM/

My favorite problem for this video is the 3rd problem, let me know in the comments what your favorite problem was!

Problems of the video:
0:00 Math Competition Problems Set
0:34 Competition Problem #1
4:54 Competition Problem #2
8:47 Competition Problem #3
13:10 Outro and Support my channel

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello there, for today's video, I will be talking about foci or focus points. In a previous video, I covered ellipses, the equation of ellipses and how to graph ellipses. In this video, I focus on the foci specifically. The foci are 2 reference points that are on the major axis (longer side of the ellipses) and are equidistant from the center. The center point is (h,k). The distance between the center and the foci is calculated by a^2 - b^2 or b^2 - a^2. Just remember that the foci has to be a positive number so if you switch up the a^2 - b^2 and b^2 - a^2, it's ok. Take the positive one since the numbers should be the same. There are 2 reference points so you will often times see the foci as (h+/- c, k)

Link to previous videos:
Ellipses: https://www.bitchute.com/video/fs2m42fv9Fc7/
Circles: https://www.bitchute.com/video/xAlV6AeglsjF/

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello there! Have you ever seen crazy symbols while reading math proofs? First of all, I guess not a lot of people just read math proofs for fun. Anyways, today's video is all about the most commonly used proof symbols in mathematics. Writing proofs and reading proofs can be a bit difficult because it's very "up to the author's discretion" on what steps they want to include. Some people like to spell out each and every step while others like to write proofs that skip some more intuitive steps. In this video, I will talk about the different symbols and what they mean. I then go over a "translation" of a sentence written with the proof symbols.

Remember the other video I did previously on the squareroot of 2 being irrational via Proof by Contradiction. I go over that same proof but this time I write it with the math proof symbols. Some people like more english words while some people like more symbols. There's a bit of freedom when writing proofs but it can make it hard to understand and follow when there are only symbols. If you haven't seen my previous video, you can check it out here! https://www.bitchute.com/video/Deo8kJwNwWTG/

Another set of symbols that you will see are certain letters that look bolded with double lines. These guys are apparently called blackboard bold, I guess that's the name of the font. These letters represent different number sets. I made a video a while back on these number sets so watch it here for a refresher! https://www.bitchute.com/video/B94SSgyyONqP/

Sections in this video:
0:00 Introduction to Proof Symbols Used in Math
2:08 Meaning of the Proof Symbols
7:21 Translation of a Sentence that uses Proof Symbols
12:53 Squareroot of 2 is irrational (Proof by Contradiction)
19:28 Outro - Recap and Support the channel

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello everyone, I hope you enjoy my "math magic trick" videos that help you look and feel smarter because you can compute certain math problems much quicker than others. Last time, I did a video on squaring numbers that end with a 5 and a different video on squaring numbers between 40 to 60. Those were pretty fun videos so if you haven't seen them, you can watch them here:

Squaring #s ending in 5: https://www.bitchute.com/video/wbp0d3xPUNVg/
Squaring #s between 40 to 60: https://www.bitchute.com/video/eeAUrqcZdHmJ/

Today, I'm back with another fun math trick type video. If you're looking to impress your teacher, classmates, or friends; try doing this trick on them. Today's video will cover several examples that you can compute super quickly to impress others. The focus is squaring ANY number. We generalize the rule this time so it works for all numbers, but remember that the more generalized the rule, the longer it will take to do the trick. Compared to multiplying out the numbers fully, this will still be quicker. Just a fun math trick that is explained by the foiling method.

Steps for this trick / shortcut:
Depending on what the number ends with, choose between the two formulas or "tricks".
If the ending number is less than 5, use the (a+b)^2 method. If the ending number is greater than 5, use the (a-b)^2 method. If the ending number is 5, I go over that trick in the previous video.

(a+b)^2 = a^2 + 2ab + b^2
(a-b)^2 = a^2 - 2ab + b^2

This will work easily for numbers less than 100 but the same idea can be applied to numbers greater than 100.

Chapters:
0:00 Intro - Squaring Any Number
1:19 Rules on Squaring Any Number
2:50 Different Scenarios When Squaring Any Number
4:42 Outro - Recap and Support the channel

Just a fun little short video on another math shortcut. I hope you enjoyed it! Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

For more math videos like this, be sure to subscribe to my channel https://www.bitchute.com/channel/6w9jNdgdnsV7/

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Hello there! For today's video, I will be talking about a more introductory level topic: Probability! Probabilities are actually a pretty basic topic and easy to understand. The idea behind probabilities is the desired outcome over the possible outcomes.

The best way to understand probability is by flipping a fair coin. The probability of getting a tails is 1 out of 2. The probability of getting a heads is also 1 out of 2. Probabilities can be written in the form of fractions, decimals, or percentages. If you haven't seen my video about percentages, check it out here! https://www.bitchute.com/video/0xKzmwrRRrkq/

You'll see how percentages can make things either exaggerated or unexaggerated. (is that a word?) Anyways, my favorite form is fractions because I can clearly see the possible outcomes. What is your favorite way to write probabilities?

In this video, I briefly go over the concept of probabilities and then we go over a few practice problems.

Chapters in this video:
0:00 Introduction to Probability
3:01 Practice Problem #1
6:10 Practice Problem #2
7:51 Practice Problem #3
11:10 Outro and Support my channel

Thanks for watching! Don’t forget to let me know if you have any questions in the comments below.

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Hello there! For today's video, I'm not teaching anything new. Think of it as practice for an upcoming test or exam. I will cover 6 different questions regarding functions. If you haven't learned functions yet or need a refresher, you can check out my previous videos. Search "functions" within my videos and you should be able to find 5 videos on the topic.

These are standard math test questions so don't be surprised if these show up on your actual exam. Let's jump right in!

0:00 Intro - Standard Test Questions re: Functions
0:38 Practice Problem #1
2:48 Practice Problem #2
5:32 Practice Problem #3
7:02 Practice Problem #4
10:36 Practice Problem $5
14:34 Practice Problem #6
17:01 Outro - Recap and Support the channel

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

For more math videos like this, be sure to subscribe to my channel https://www.bitchute.com/channel/6w9jNdgdnsV7/

If you'd like to support my channel (or help me buy more markers), you can check out https://www.subscribestar.com/caveman-chang

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Hello! For today's video, I will cover the topic of ellipses. In textbooks and classes, you usually hear about how similar ellipses are to circles but the difference is a the foci or focal points. In this video, I go over the standard form of the equation and the key components of the equation. After explaining ellipses and the formula, I go over 3 different practice problems to test your understanding of ellipses. The 3rd practice problem is the ultimate tester because you really need to understand ellipses well because that problem makes you work backwards. An ugly equation is provided and it's supposed to be the entire factored out form for an ellipses. I don't actually sketch the ellipses but you are given all the required information to sketch one if you need.

Here's the link to my previous video about circles btw if you haven't seen it, you'll be happy to see some similarities between the two. https://www.bitchute.com/video/xAlV6AeglsjF/

Things you'll hear in this video: x-radius, y-radius

Chapters of this video:
0:00 Introduction to Ellipses
10:57 Practice Problem #1
12:57 Practice Problem #2
15:00 Practice Problem #3 (MUST WATCH!)

Don't forget to watch until the end. The last problem is just... torture but it could be worse... Anyways, let's jump into the video!

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello there! You may have seen my previous video where I proved to you that the squareroot of 2 is irrational. That is one of the most classic and famous examples of proof by contradiction. If you haven't seen that video, you can watch it here: https://www.bitchute.com/video/Deo8kJwNwWTG/

The title of this video is Reducio Ad Absurdum. Doesn't it sound like some Harry Potter thing. Reducio Ad Absurdum is latin to mean reducing to the absurd. What does that mean? You'll see other names that it may go by which are Proof by Contradiction or Good Faith Proof. In this video, I talk about what proof by contradiction is and the steps on using this method of proof. The next section, I provide a few different examples of how to use this method of proof.

Sections of this video:
0:00 Introduction to Reducio Ad Absurdum or Proof by Contradiction
5:18 Practice Problem #1
9:46 Practice Problem #2
13:48 Practice Problem #3

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello everyone, I hope you enjoy my "math magic trick" videos that help you look and feel smarter because you can compute certain math problems much quicker than others. Last time, I did a video on squaring numbers that end with a 5. That was a pretty fun video in my opinion! If you haven't seen that video, you can watch it here: https://www.bitchute.com/video/wbp0d3xPUNVg/

Today, I'm back with another fun math trick type video. If you're looking to impress your teacher, classmates, or friends; try doing this trick on them. Today's video will cover several examples that you can compute super quickly to impress others. The focus is squaring numbers between 40 to 60. It's easy to remember the values of 40^2, 50^2, and 60^2 so that won't be as impressive. We will split the trick into remember different steps for numbers less than 50 or greater than 50. All it takes is more practice then you can do it! This math trick only works for numbers from 40 to 60.

Steps for this trick / shortcut:
If the number is less than 50,
1.) 50 - something = the number you want
2.) 25 - something = another number
3.) something ^ 2
4.) Put the something ^2 at the end of another number

Did I just confuse you? Let me show you in variables
The number you want to square will be represented by x
1.) 50 - y = x
2.) 25 - y = z
3.) y^2
4.) Put it together and you get z(y^2). Note that this isn't multiplication.

For numbers that are greater than 50, it is the same but you add instead of subtract. Add the number to 50 and add the number to 25 in steps 1 and 2.

Just a fun little short video on another math shortcut. I hope you enjoyed it! Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

For more math videos like this, be sure to subscribe to my channel https://www.bitchute.com/channel/6w9jNdgdnsV7/

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Hello! Today, I'm doing ANOTHER video on counting but this one is a little different. Today's topic is complementary counting. I will teach you how to solve combinations problems in a different way. We are going to count what we want by first counting what we don't want. You might hear complementary counting being referred to as negative counting.

Previous videos on counting:
Fundamental Counting Principle: https://www.bitchute.com/video/sk559J3MHSK0/
Factorials: https://www.bitchute.com/video/JfgN0tIeySgd/
Permutations: https://www.bitchute.com/video/jMpvuBUoe3yg/
Combinations: https://www.bitchute.com/video/wN9jGtvalXju/

Section in this video:
0:00 Introduction to Complementary Counting
1:54 Practice Problem #1 (Conventional Way)
4:18 Practice Problem #1 (Complementary Counting)
6:52 Practice Problem #2
7:37 Special Ft. Voice of Rocky Chang
9:15 Practice Problem #3

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello there! Today's video is about circles. Remember in a previous video how I derived the distance formula from the pythagorean theorem? If you didn't watch the video, here it is: https://www.bitchute.com/video/S6myaZeRnWae/

For the first portion of this video, I walk you through how the circle formula is related to the distance formula. It's always helpful to understand where the formula is from so we can remember it accurately. In the remainder of the video, I go over different types of practice problems that help you understand circles better. It's nice to know "Completing the Square" by the way so brush up on your skills wit this video: https://www.bitchute.com/video/4WMMgvlc9x8f/

Sections of this video:
0:00 Introduction to Circles
1:05 Deriving the Circle Formula
6:00 Practice Problem #1
8:09 Practice Problem #2
11:00 Practice Problem #3

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello there, today I will be going over a proof problem. Of everything that I’ve talked about so far, proof is single handedly the one that most people dislike.

In this video, I will prove that the square root of 2 is irrational using proof by contradiction. Proof by contradiction starts with us assuming that the statement is true and then finding a contradiction that makes the statement untrue. This problem is a classic example of proof by contradiction.

Problem of this video: √2 =/= rational

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello everyone, I hope you enjoyed watching my previous video on a "math magic trick". If you haven't seen it, here it is! https://www.bitchute.com/video/K7DGZbbV0wQb/

Today, I'm back with another fun math trick type video. If you're looking to impress your teacher, classmates, or friends; try doing this trick on them. Today's video will cover several examples that you can compute super quickly to impress others. The focus is squaring 5. In this video, I use 5^2, 15^2, 75^2, 85^2, and 125^2. This math trick works on any number that ends with a 5.

Steps for this trick / shortcut:
1.) Remove the "5"
2.) With the number left over, multiply that by (itself + 1)
3.) Put 5^2 at the end which is 25

Just a fun little short video on another math shortcut. I hope you enjoyed it! Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

For more math videos like this, be sure to subscribe to my channel www.bitchute.com/channel/6w9jNdgdnsV7/

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Hi there! I have another video about combinations today. As I mentioned before in my factorials video, you primarily see factorials being used in permutations and combinations. There is a distinct difference between permutations and combinations which I talk about, so don't get them mixed up. You might have seen my previous video about combinations, which is different from today's. In the other video, I very briefly go over combinations but today I go more into details about the formula and we go through a couple examples.

Videos mentioned in this video:
Factorials: https://www.bitchute.com/video/JfgN0tIeySgd/
Permutations: https://www.bitchute.com/video/jMpvuBUoe3yg/
Basic Combinations: https://www.bitchute.com/video/DXwgaiPqHRow/

Sections in this video:
0:00 Combinations vs Permutations
3:01 Formula and Practice Problem #1
9:38 Practice Problem #2

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

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Hello everyone! For today's video, I will talk about graphing polynomials BUT with a trick. Sometimes, its just very tedious to graph polynomials but in some cases, the general trend of the graph is pretty similar. There are a few things to look out for when given a polynomial.

1.) Even or Odd: tells us the end behavior of the graphs
2.) Positive or Negative Leading Coefficient: tells us the direction of the end behavior
3.) Zeroes: tells us the x-intercepts of the graph

From there, you can pick and choose points to plug into the polynomial and see if the general number is negative or positive. The best scenario is that the polynomial is given to you with the zeroes so you can find the positive and negative sign of the solution, giving you a general idea of what the graph looks like.

Today's focus is to help you Guess the Graph! You don't need to know the exact look of the graph, but with these 3 items, you can pretty much guess the overall look of the graph. There is a "standard" trend for what the graphs look like for each degree of polynomial but there are certain exceptions that don't follow that. I cover a problem for each degree polynomial from x^3 to x^5.

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Hello everyone! For today, I will be going over some math warm up problems. These math warm up problems are not specific to any math topics, I will cover a random combination of math warm up problems just to get our brains in the math mode.

In this video, I cover 3 math warm up problems that test your understanding of a few different concepts.

Sections in this video:
0:00 Introduction to Math Warm Up Problems
1:44 Math Warm Up #1
5:12 Math Warm Up #2
8:46 Math Warm Up #3

Problems in this video:
1.) 4√[(x-1)(x-2)(x-3)] + 4 = 4 What are the possible values of x and what is the sum of the possible values of x?
2.) What is the greatest prime factor of the least common multiple of 21, 24, 60?
3.) Given 3^1 = 3, 3^2 = 9, 3^3 = 27, 3^4 = 81, 3^5 = 243, how many digits are in 3^25?

Related Videos:
Greatest Prime Factor: https://www.bitchute.com/video/9RHfI4VZgA9O/
Least Common Multiple: https://www.bitchute.com/video/zNhwQtq9qmg9/

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

For more math videos like this, be sure to subscribe to my channel https://www.bitchute.com/channel/6w9jNdgdnsV7/

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Hello all! For today, I have a fun little video that you can learn to impress you friends, family, or significant other. All the math lovers will probably know this magic trick but I'm sure they'll appreciate that you showed them a math trick.

Steps for this magic trick:
1.) Think of a number between 1-9 (inclusive) and don't tell me the number
2.) Multiply it by 9
3.) If it is a 2 digit number, add the digits together. If it is a 1 digit number, skip this step.
4.) Subtract 5 from your number
5.) Multiply the result by itself

The answer is 16. Was I right? I should be unless you messed up a step somewhere along the way. In this video, I also reveal why this math trick works and how it works. Aside from 1-9, this also works for number 10. Remember, this math magic trick does not work for all numbers. If you like these types of videos on math tricks, let me know in the comments below.

Thanks for watching! Please drop a like and subscribe to my channel. Don’t forget to let me know if you have any questions in the comments below.

For more math videos like this, be sure to subscribe to my channel!
https://www.bitchute.com/channel/6w9jNdgdnsV7/

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Hello there! For today's video, I talk about another topic that uses factorials: Permutations. If you haven't seen my other video on factorials, you can check it out here https://www.bitchute.com/video/JfgN0tIeySgd/

In a separate video, I talked about Permutations' counterpart: Combinations. If you haven't seen that video, you can watch it here https://www.bitchute.com/video/DXwgaiPqHRow/

Permutations differ from combinations in that the order does matter. For example, if you flip a coin twice and you get the results of heads then tails, this is different from getting tails then heads. Whereas in combinations, heads and tails vs tails and heads are the same thing because the order does not matter. I go over the formula for permutations and also a few practice problems so let's jump into the video!

Formula for Permutations: P(n,r) = nPr = n! / (n-r)!

Sections in this video:
0:00 Introduction to Permutations
1:21 Practice Problem #1
3:07 Using the Formula for Permutations
6:15 Practice Problem #2
11:29 Practice Problem #3

Thanks for watching! Please drop a like and subscribe to my channel.Don’t forget to let me know if you have any questions in the comments below.

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Hello! For today's video, I will talk about the distance formula. In math, there are just an endless amount of formulas that we should memorize but sometimes the best way to memorize the formula is to understand where it comes from. One of the most important formulas that you should remember is the Pythagorean Theorem.

Pythagorean Theorem: a^2 + b^2 = c^2

Well, would you believe me if I said the distance formula is actually derived from the Pythagorean Theorem.

Distance Formula: d = sqrt [(x2-x1)^2 + (y2-y1)^2]

The formula looks quite different for now but in the first half of the video, I show you how the distance formula is derived from the pythagorean theorem. In a right triangle, we have each side represented by a, b, and c. The distance between two points can always be represented by a right triangle where the hypotenuse c would be the distance we are looking for. a would be represented as the horizontal difference between the two points (x2-x1) and b would be represented as the vertical difference between the two points (y2-y1). Anyways, let's take a look at the video!

Sections in the video:
0:00 Introduction to the Distance Formula
2:03 Deriving the Distance Formula from the Pythagorean Theorem
8:30 Practice Problem #1
10:45 Practice Problem #2
12:37 Practice Problem #3

Thanks for watching! Please drop a like and subscribe to my channel.Don’t forget to let me know if you have any questions in the comments below.

For more math videos like this, be sure to subscribe to my channel https://www.bitchute.com/channel/6w9jNdgdnsV7/

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Link: https://www.youtube.com/channel/UCOsPt0xImHyuRGU7BntSqDQ