The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the height above water and x is the horizontal distance in feet. if a beam of light is shone upward at an angle modeled by the equation x +  y = 10, at what height from the water's surface will the beam of light hit the dolphin

The beam of light hit the dolphin at the common point that is the solution of a system:

.

From the second equation express y: y=10-x and substitute it into the first equation:

.

Therefore, the horizontal distance in feet is x=5 ft and the height above water is y=10-5=5 ft.

the beam of light hit the dolphin at 5 ft above water

because they could drop even lower..

found it xd it ok yt