Question

On a movie set, an archway is modeled by the equation y = -0.5x2 + 3x, where y is the height in feet and x is the horizontal distance in feet. A laser is directed at the archway at an angle modeled by the equation -0.5x + 2.42y = 7.65 such that the beam crosses the archway at points A and B. At what height from the ground are the points A and B?

1.5 feet and 3.5 feet

1.5 feet and 4 feet

3.5 feet and 4 feet

4 feet and 4 feet

Answer 1

1.5 feet and 4 feet, because that is the point where they woud hit the ground and meet each other