Please solve all the following problems with steps

30. 31. 32. Solve the following equations. Show the check steps for your solutions. 21. x2=25 22. (x+2)23=1 23. 3(x 1)2 = 27 24. 4x2 25 = 0 Solve the following equations. Write your solution in simplest form. 25. 5x2 + 84 = 36 26. 18x2 1= 0 27. 4(x2)2=9 28. 4x2+24=9 A batter hits a baseball into the air to a maximum height of h feet. It descends until the outelder catches the ball y feet above the ground. The height in feet of the ball after it descends for 1' seconds is modeled by the equation y = h 161'2. Solve this equation for t, the time the ball has been descending. @ Model with Mathematics A rock falls from a cliff 144 feet high. The function h(t) = 16t2 + 144 models the height of the rock as it falls, where h is the height in feet and t is the time in seconds. A. After how long will the rock land on the ground? 8. Are all solutions of h(t) = 0 viable? Explain your reasoning. Then state a reasonable domain for h(t). C. The function g(t) = 16(t + 3)2 + 144 allows you to step back in time after the rock lands on the ground. Explain how to obtain its graph from the graph of h. State the domain of g, then pick an endpoint of the domain and explain why g makes sense for that value. Keenan leans a 10-foot ladder against the house he is painting. The ladder forms a right triangle with the house and the ground. A. How can you use the Pythagorean Theorem to nd how high the ladder can reach on the house? 8. Write and solve an equation to nd how high the ladder can reach on the house. Round your answer to the nearest tenth of a foot. C. How far above the top of the ladder must Keenan be able to reach in order to paint a spot 12 feet above the ground