1.
(05.01 lc)
the graph below shows the height an elevator travels, y, in x seconds:
what is the rate of change for the relationship represented in the graph? (1 point)
a.1/15
b.1/14
c.14
d.15

1/15

Step-by-step explanation:

This is because when the traveling goes up it is by fifteen and the seconds go up by one so 1 over 15 is the write answer.

the answer would be 484

step-by-step explanation:

just multiply 0.484 times 1,000 (formula)

(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