Solving system of quadratic equations using substitution

This quick video covers how to solve a system of quadratic equations using the substitution method.
Step by step directions are given.

For more videos see:
MooMooMath

For more on Quadratic Equations see
Analytical Geometry

Apothem of a triangle

Video of the Day



What is the apothem of a triangle?

The apothem is the distance from the center of an equilateral triangle to the side.

This video finds the apothem of a equilateral triangle with sides of 12 units.

For more about Equilateral Triangles see

Equilateral Triangles/MooMooMath

Volume of a Cone and a Cylinder

Today's video reviews how to find the volume of a cone and a cylinder.
The cone video tackles finding the volume given the slant height and not the cone height. You can use the slant height with the Pythagorean Theorem to find the height,which you can plug into the slant height formula.

The cylinder video gives step by step directions for finding the volume of a cylinder.

For more on volume of a cone see:
Volume of a Cone

Volume of a Cylinder

Video of the Day " Isosceles Triangle"

Today we have three videos that cover properties of an isosceles triangle. An isosceles triangle is a triangle with two congruent angles and sides.

Video one answers the vertex angle sample problems

Video two reviews how to find the base length of an isosceles triangle

Video Three gives directions on how to find the side length of an isosceles triangle

For more on isosceles triangles see:
MooMooMath/Isosceles Triangles

Video of the Day " Triangle Inequalities"

 What makes a triangle actually a triangle? The video demonstrates what defines a triangle.

Transcript
Triangle Inequalities
Hi Welcome to MooMooMath. Today we are going to talk about proportions of a triangles or what happens to the sides that create a triangle. So the best method for me to show you how this works is actually have some straws to show you how triangles work. The first straw is 8 inches long, the second straw is 6 inches long, and then I have some 4's and some 2's. I'm going to draw you some different combinations of triangles. I will show you with the straws which make triangles and which do not.  O if I have the side length of 8 and I pair this with a side length of 4 and a side of 6. Those three pieces can create a triangle. So the bottom one what happens if I replace the side of 4 with a side of only two?  Look what is going to happen. Can I create a triangle? Well guess what, it doesn't reach. They actually are the same length because this side is 8 and this side is 2, and this one is 6, and it's not large enough to reach to the end. So an 8, 6, and 2 don't work. So what happens if I try a 6 and two 2's? OK here is a side of 6 and here is a 2 and here is a 2. Notice how they can't reach each other. So what are the rules for creating triangles? So let's look at the rules. The rules say the two shorter sides have to add up to or be greater than the length of the longer side. So in the first one worked. It was 8, 6, and 4. So 6 and 4 was 10 which is greater than the longer side of 8. So here is another example. If you have a side of 2 and a side of 4 they add up to a number greater than the longest side of 5 so it is a triangle. If this side is 8 and this side is 6 the side of 4 that one works. So let's write the inequality that actually goes with that to represent that it works. So we have a side of 4 inches and a smaller side of 6 inches and they add up to a side greater than 6 inches. Yet the side that was 2 and another of 2 does not add up to a number greater than side that was 6 so this one doesn't work. So the 2 small sides have to add up to be equal or greater than the longer side. Hope this was helpful.

For more on triangle inequalities and an infographic please see MooMooMath/Triangle Inequalities

Video of the Day " Similar Triangles"

What are similar triangles? Similar triangles are triangles in which the only difference is size. Similar triangles have corresponding sides that have the same ratio and equal angles.

Video Guide
0:15 Definition Similar Triangles
1:04 Rules for solving similar triangles explained  
       Set up a proportion then solve the proportion
1:37 Sample problem similar triangles solved with step by step directions
2:45 Sample problem finding missing sides on similar triangles with step by step directions

For more information see MooMoo Math Similar Triangles

Video of the Day " How to divide and multiply radicals"

How to divide and multiply radicals

In this video you will .....

Learn how to add radicals

Learn how to multiply radicals

Simplify square roots

Learn how to divide radicals

For six more videos on radicals please see: MooMooMath/Radicals