It's for a big test
laura & mary are doing their homework together.
mary thinks the relation {(1, 1), (1, 3), (2, 3), (3, 4)} is a function, but laura doesn’t think it is.
who is correct and why?

which ordered pairs are solutions for this function? {(0, -4), (1, -2), (5, 6), (6, 5)}

{(-4, 0), (0, 2), (1, 2), (4, 4)}

{(-3, 1), (0, -4), (2, 3), (3, 2)}

{(0, -4), (1, -2), (2, 0), (4, 4)}

answer:

3 bags of apples and 2 bags of oranges.

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