Instructions: Use the given information to answer the questions and interpret key features. Use any method of graphing or solving.  Round to one decimal place, if necessary.An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x)=−x2+10x+7.5ℎ(𝑥)=−𝑥2+10𝑥+7.5, where x𝑥 is the number of feet away from the sprinkler head (along the ground) the spray is.The irrigation system is positioned Answer 1 Question 6 feet above the ground to start.The spray reaches a Answer 2 Question 6 height of Answer 3 Question 6 feet at a horizontal distance of Answer 4 Question 6 feet away from the sprinkler head.The spray reaches all the way to the ground at about Answer 5 Question 6 feet away.

ProblemWhen a sprinkler is installed in the ground, the spray of water goes up and falls in the pattern of a parabola. The height, in inches, of a spray of water is given by the equation h(x)=160x−16x2ℎ(𝑥)=160𝑥−16𝑥2 where x𝑥 is the number of feet away from the sprinkler head the spray is. What is the height of the spray 22 feet away from the sprinkler head? Solutionh(2)=ℎ(2)= After 22 seconds, the height of the spray is inches.How many feet along the ground away from the sprinkler head will the spray reach a maximum height? feetWhat is the maximum height of the water spray? inchesHow many feet away from the sprinkler head will the water hit the ground again? feet

A water fountain is designed to shoot a stream of water in the shape of a parabolic arc. The equation of the parabola is given by ℎ(𝑡)=−0.5𝑡2+4𝑡+1h(t)=−0.5t 2 +4t+1, where ℎ(𝑡)h(t) represents the height of the water stream in meters and t  represents the time in seconds since the water was shot. Answer the following questions.Determine the maximum height reached (in meters).

1. Circle A is shown on the coordinate plane shown below.a) Write the center and the radius of the circle.b) Write the equation of the circle.c) Name three points that lie on the circle.d) Find the area of circle to the nearest square unit.    2. Explain the steps necessary to find the center and radius of the circle below.x2 + 4x + y2 ‒ 6y = 9Then, find the center and the radius of this circle and sketch the graph of the circle.   3. Coach Stevens needs to purchase sprinklers to water the baseball field. The standard distance between bases is 90 feet and the infield is a perfect square.Coach Stevens found one sprinkler that sprays a maximum distance of 50 feet. If Coach Stevens placed the sprinkler on the pitcher's mound, would the water spray so that the entire infield was watered? Justify your response.

Question 11 of 20: Select the best answer for the question. 11. Joel is laying pipe for a sprinkler system before he plants his lawn. The lawn is a rectangle, 15 feet long and 8 feet wide. He needs to lay a piece of pipe that will run along the diagonal of the lawn. It will divide the area of the lawn into two right triangles. What will be the length of the pipe? 8 ft. 15 ft. A. 120 feet OB. 289 feet OC. 23 feet OD. 17 feet

A farmer waters his crops with a pivot sprinkler. This sprinkler rotates and spreads water in a circle with a of radius 307 m. What is the total area that can be watered by this sprinkler?Round your answer to the nearest whole number. Do not type the units in the space below.