What's the distance of (-2, 0), (3, -5) plz help thank you

The Distance Formula itself is actually derived from the Pythagorean Theorem which is {a^2} + {b^2} = {c^2}a  

2

+b  

2

=c  

2

 where cc is the longest side of a right triangle (also known as the hypotenuse) and aa and bb are the other shorter sides (known as the legs of a right triangle).

The very essence of the Distance Formula is to calculate the length of the hypotenuse of the right triangle which is represented by the letter cc.

a green right triangle with hypotenuse c (distance between two red dots) and legs a and b.

That’s why we can claim that the idea of the Distance Formula is borrowed and derived from the Pythagorean Theorem. If you want to see how the Distance Formula is derived from the Pythagorean Theorem, please check out my lesson on How to Derive the Distance Formula.

three-fourths of an hour

36÷48=0.75

0.75=

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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