9. Which of the following relations represents a function? {(-1,2), (-6,3), (-6,4), (5,6)}
{(1,2), (2,3), (3,4), (2,6)}
{(1,2), (2,3), (3,4), (5,6)}
{(1,2), (2,3), (1,3), (-5,5)}

10. Fran drove m miles in a car she rented. To fine R, the total cost of renting the car, she used the following formula

R = 0.5m + 35

What is the dependent variable in the equation?

11. The formula shows that c, the total cost of buying pizzas at Al's restaurant depends on p, the number of pizzas ordered.

c=9p

What is the independent variable in the equation?

22 dimes and 9 nickels

step-by-step explanation:

salary

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