If the relation is a function, list the domain and range. if the relation is not a function, choose "not a function".

c = {(9, 1) (8, -3) (7, 5) (-5, 3)}

domain: {9, 8, 7, -5} range: {1, -3, 5, 3}
domain: {1, -3, 5, 3} range: {9, 8, 7, -5} not a function

  Domain: {9, 8, 7, -5} Range: {1, -3, 5, 3}

Step-by-step explanation:

The domain is the list of first numbers in the ordered pairs. If any of those are repeated, the relation is not a function.

The range is the list of second numbers in the ordered pairs.

The domain and range of C are shown above.

(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