Two fireworks are set off simultaneously but from different altitudes. The height y in feet of one is

represented by y=-16t^2+120t+10, where t is the time in seconds. The height of the other is represented by y=-16t2+60x+310. After how many seconds are the fireworks at the same height? ___________ What is
that height? ______________

1 answer

well, just set them equal to each other, so
-16t^2+120t+10 = -16t2+60x+310
immediately the -16t^2 drops out, so you left with
120t+10 = 60x+310
can't get any easier than that