The height of a rocket, launched from the ground, is given by the function y = 30 t − 5 t 2 , where y is in meters and t is in seconds. An observer is sitting at ground level a distance d from the launch point. If r is the distance between the observer and where the rocket is, show that d r d t = ( 30 t − 5 t 2 ) ( 30 − 10 t ) √ ( 30 t − 5 t 2 ) 2 + d 2 . Show all your work.

In the past, professional baseball was played at the astrodome in houston, texas. the astrodome has a maximum height of 63.4 m. the height of a baseball t seconds after it is hit straight up in the air with a velocity of 45 ft/s is given by h = -9.8t2 + 45t + 1. will a baseball hit straight up with this velocity hit the roof of the astrodome? use the discriminant to explain your answer.

Write a function that matches the description. a cosine function has a maximum of 5 and a minimum value of -5. f (r) =

Is triangle jkl congruent to triangle rst? if so, what is the scale factor?