If f(x) and g(x) are inverse functions of each other, which of
the following shows the graph of f(g(x))? On a coordinate
plane, a straight line has a positive slope and goes
through (negative 2, negative 1), (0, 0), and (4, 2). On a
coordinate plane, a straight line has a positive slope and
goes through (negative 3, negative 3), (0, 0), and (3, 3). On
a coordinate plane, a straight line has a negative slope
and goes through (negative 4, 2), (0, 0), and (4, negative
2). On a coordinate plane, a straight line has a negative
slope and goes through (negative 3, 3), (0, 0), (3, negative
3).

22 and 22

step-by-step explanation:

10 plus 12 equals 22.

12 plus 10 also equals 22 because regardless of what order they're in, they're gonna equal the same thing.

step-by-step explanation:

try remembering the steps

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240