Answer:
Step-by-step explanation:
let : y = x² - 8
calculate : x
x² = y + 8
x exist : y + 8 ≥ 0
x = √(y + 8) or x = - √(y + 8)
conclusion :
if : x ≥ 0 the inverse of f(x) is : g(x) = √(x + 8)
if : x ≤ 0 the inverse of f(x) is : h(x) = - √(x + 8)
Length (2, 6) to (-4, 6) is sqrt((x2 - x1))^2 + (y2 - y1)^2) = sqrt((-4 -2)^2 + (6 - 6)^2) = sqrt((-6)^2 + 0) = 6
Length (2, 6) to (-4, 4) is sqrt((-4 - 2)^2 + (4 - 6)^2) = sqrt((-6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40) = 2sqrt(10) units
Length (-4, 6) to (-4, 4) is sqrt((-4 - (-4))^2 + (4 - 6)^2) = sqrt(0^2 + (-2)^2) = 2
So the length of the longest side is 2sqrt(10) units
Answer:
The perimeter of the rectangle is equal to 
Step-by-step explanation:
Let
L-----> the length of the rectangle
W ----> the width of the rectangle
we know that
The perimeter of rectangle is equal to

we have

substitute



Answer:
20991
Step-by-step explanation:
Just like simplifying any other fraction.
Divide the top number and bottom number
by their greatest common factor.
The greatest common factor of 40 and 2 is 2 .