9) An astronaut on the moon throws a moon rock into the air. The rock's height, in meters, above the moon'ssurface x seconds after it is thrown can be determined by the function h(x) =-1.6(x - 2.5)2 + 25.a) What is the maximum height of the rock above the moon's surface?b) How many seconds after being thrown does the rock reach the max height? Section 3: Word ProblemsUse quadratic equations to answer each word problem7) A rectangular patio has a length four times its width. It also has a 3 ft wide brick border around it. Write aquadratic function to determine the area of the patio and border.8) Write a function h(t) to modelthe vertical motion for the following situation, given h(t)ho, were vo is 32 ft/s and ho is 75 ft.a) Write the equation to modelthe situation16t + vot +b) Find the maximum height.

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An astronaut on the moon throws a moon rock into the air. The rock's height, in meters, above the moon's surface x seconds after it is thrown can be determined by the function h(x) =-1.6(x - 2.5)2 + 25. =D= a) What is the maximum height of the rock above the moon's surface? b) How many seconds after being thrown does the rock reach the max height?