Kayla was at the surface of a swimming pool and recorded the following two measurements, in feet, on a number line: -9, which represents the depth of water in the swimming pool +10 which represents the height of the slide at the pool. Part A: what does 0 represent in this situation? (3 points) Part B: describe the height of the slide in relation to 0 in the situation. (3 points) Part C: Kayla held a pole in the swimming pool. The bottom of the pole was at depth of 3 feet. How should Kayla mark the level of the bottom of the pole on the number line. Explain how you determined this. (4 points)

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step-by-step explanation:

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(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

answer: answer is b.

[m < b = 120º]

step-by-step explanation: