A group of children are swimming in a pool. They start in the middle of the pool and swim 20 feet toward the right end of the pool. They then swim to a point x feet to the right of the middle of the pool. So far, the children have swum a distance of 45 feet. Formulate an absolute value equation to represent this situation. Then solve the equation. a; b; c; or d; or

Two Indian swimmers Rishabh and Vaibhav started swimming toward each other from the opposite endpoints (P and Q) of a rectangular pool along the width. They first met at a point 750 m away from point ‘P’. They crossed each other, touched the opposite points, and returned immediately. They met each other again at 450 m from the opposite endpoint ‘Q’. Find the width of the rectangular pool (in m).

A 100 ft. long swimming pool is to be constructed. The pool will be 4 ft. deep at one end and 8 ft. deep at the other. To the nearest degree, what will be the measure of the acute angle the bottom of the pool makes with the wall at the deep end?

(08.02 MC)The function f(x) = −x2 − 9x + 10 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?Group of answer choicesx = 1; the diver jumps in the pool at 1 foot per secondx = 10; the diver jumps in the pool at 10 feet per secondx = 1; the diver hits the water 1 foot away horizontally from the boardx = 10; the diver hits the water 10 feet away horizontally from the board

ProblemSuppose Jeremiah is a diver for his summer swim team. The function h(x)=−4.9x2+8x+5ℎ(𝑥)=−4.9𝑥2+8𝑥+5 represents Jeremiah's height (hℎ) in meters above the water x𝑥 seconds after he leaves the diving board.What is the initial height of the diving board?At what time did Jeremiah reach his maximum height?What was Jeremiah’s maximum height?Sketch a graph of the function. (You can use your calculator for this or create a table of values.) SolutionThe initial height of the diving board is when the time is zero.h(0)=−4.9x2+8x+5ℎ(0)=−4.9𝑥2+8𝑥+5h(0)=−4.9(0)2+8(0)+5ℎ(0)=−4.9(0)2+8(0)+5h(0)=0+0+5ℎ(0)=0+0+5h(0)=5ℎ(0)=5The initial height of the diving board is 55 m.The time at which Jeremiah reaches his maximum height is the x𝑥-coordinate of the vertex.x=−b2a𝑥=−𝑏2𝑎x=𝑥=2(2( ))x=−8−9.8𝑥=−8−9.8x=0.82𝑥=0.82 secIt took Jeremiah seconds to reach his maximum height.The maximum height was reached Jeremiah at seconds. The maximum height is the y𝑦-coordinate of the vertex.h(t)=−4.9x2+8x+5ℎ(𝑡)=−4.9𝑥2+8𝑥+5h(0.82)=−4.9(0.82)2+8(0.82)+5ℎ(0.82)=−4.9(0.82)2+8(0.82)+5h(0.82)=−3.29+6.56+5ℎ(0.82)=−3.29+6.56+5h(0.82)=8.27ℎ(0.82)=8.27 mThe maximum height reached by Jeremiah was m.CheckQuestion 8

a rectangular swimming pool 20m wide ,60 m long and 4m deep ,contains 800m3 of water.How much more water has to be added so that the water level is 30cm from the top?