Which of the following sets of ordered pairs represents a function?
A. (2,3), (6,9), (10, 12), (2,-3)
B. (-9, 4), (-2, 10), (-2, 12), (0, 6)
c. (1,2), (4,9), (10,22), (15,7)
D. (0, 1), (0, 2), (0, 3), (0,4)

10010010001010010101001001010010100101010010101010010010101010110010001011010010010001

step-by-step explanation:

(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