Instructions: For the following real-world problem, solve using any method. Use what you’ve learned to determine which method would be best. Put your answer in the context of the problem and determine the appropriate final answer.Laura is throwing a tennis ball to her dog. The trajectory of the ball and where it hits the ground can be modeled by the equation −x2+121=0−𝑥2+121=0 where x𝑥 is the number of feet from Jackie the ball is.The two solutions to the equation are: x=𝑥= or In the context of this problem, which solution makes sense as the distance from Laura where the ball lands? x=𝑥= feetCheckQuestion 18

A golf ball is hit so that it travels a horizontal distance of 500 feet and reaches a maximum height of 160 feet.a) Determine a quadratic equation that models the path of the golf ball, assuming it starts at the origin. (Round the coefficient of x2 to the nearest ten-thousandths place, and round the coefficient of x to the nearest thousandths place.)

Jen served the final point before winning her tennis match! She tossed the ball up into the air from a height of 5 feet with a velocity of 22 feet per second. After the ball started to come back down, Jen hit the ball with her racket at a height of 6 feet.Which equation can you use to find how many seconds the ball was in the air before Jen hit it?If an object travels upward at a velocity of v feet per second from s feet above the ground, the object's height in feet, h, after t seconds can be modeled by the formula h=–16t2+vt+s.6=–16t2+22t+55=–16t2+22t+6To the nearest tenth of a second, how long was the ball in the air before Jen hit it? seconds

Instructions: For the following real-world problem, solve using any method. Use what you’ve learned to determine which method would be best. Put your answer in the context of the problem and determine the appropriate final answer.Jessica is practicing her dives off the diving board. When she dives into the water, the path her body makes and where she resurfaces can be modeled by the equation 0=x2−6x0=𝑥2−6𝑥 where x𝑥 is the number of horizontal feet she travels. Solve the equation to find the number of feet she will travel before coming back to the surface of the water.The two solutions to the equation are: x=𝑥= or Which of your solutions gives the horizontal distance Jessica has traveled when she returns to the surface? x=𝑥= feet

Instructions: For the following real-world problem, solve using any method. Use what you’ve learned to determine which method would be best. Put your answer in the context of the problem and determine the appropriate final answer.A rocket carrying fireworks is launched from a hill 400400 feet above a lake. The rocket will fall into the lake after exploding at its maximum height. The model of the trajectory of the rocket and when it hits the lake is given by the equation −10x2+180x+400=0−10𝑥2+180𝑥+400=0 where x𝑥 is the number of seconds that pass.What are the two solutions to this equation? x=𝑥= or In this context, which of these answers makes sense to be the number of seconds that have passed before the rocket hits the lake? x=𝑥=

A basketball is tossed from the top of a 3-mwall. The path of the basketball is definedby the relation y  x2  2x  3, wherex represents the horizontal distancetravelled, in metres, and y represents theheight, in metres, above the ground. Howfar has the basketball travelled horizontallywhen it lands on the ground?