Answer:
x = 5
Step-by-step explanation:
Applying Pythagoras' identity to the right triangle
x² + 12² = 13²
x² + 144 = 169 ( subtract 144 from both sides )
x² = 25 ( take the square root of both sides )
x =
= 5
Given:
Consider the given function:

To prove:

Solution:
We have,

Substituting
, we get




Substituting
, we get




Substituting
, we get




Using the algebraic formula, we get
![[\because b^2-a^2=(b-a)(b+a)]](https://tex.z-dn.net/?f=%5B%5Cbecause%20b%5E2-a%5E2%3D%28b-a%29%28b%2Ba%29%5D)

[Commutative property of addition]
Now,




Hence proved.
Answer:
Which one?
Step-by-step explanation:
Answer: Yes Rozonda's definition is valid
Step-by-step explanation:
Find slope first
Two points: (-5,-2) and (5,4)
(4+2)/(5+5) = 6/10 = 3/5 slope
So far: y = 3/5x + b
Plug in any of the point
-2 = 3/5(-5) + b, b = 1
Final equation: y = 3/5x + 1