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?

A. 1.5 feet and 3.5 feet
B. 1.5 feet and 4 feet
C. 3.5 feet and 4 feet
D. 4 feet and 4 feet

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?


A. 1.5 feet and 3.5 feet
B. 1.5 feet and 4 feet
C. 3.5 feet and 4 feet
D. 4 feet and 4 feet

anonymous · Answer

this is a math question. Please use the math forum for these types of questions. Just click the tab in the upper left hand corner and all the available subjects will open. This helps to get your question get answered more quickly and accurately. Thanks!