Question

the path traveled by a bottlenose dolphin as it jumps out of the water is modled 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 shown 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

Answer 1

y = 0.4x^2 + 3x
x + y = 10 or y = -x + 10

To find where the two graphs will intersect, equate the two y's and solve for x.
Then, put x in the second equation and find y.

0.4x^2 + 3x = -x + 10
solve for x first.
Then find y.

Answer 2

thank you

Answer 3

you are welcome.