SOLUTION: A rocket is launched from the ground and follows a parabolic path represented by the equation y = -x^2 + 10x. At the same time, a flare is launched from a height of 10 feet and fo

Question 1036276: A rocket is launched from the ground and follows a parabolic path represented by the equation y = -x^2 + 10x. At the same time, a flare is launched from a height of 10 feet and follows a straight path represented by the equation y = -x + 10.
a. Graph the system and label the points of intersection.
b. Describe the points of intersection in context of the problem.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A rocket is launched from the ground and follows a parabolic path represented by the equation y = -x^2 + 10x. At the same time, a flare is launched from a height of 10 feet and follows a straight path represented by the equation y = -x + 10.
a. Graph the system and label the points of intersection.

---------------------------------
b. Describe the points of intersection in context of the problem.
The flare and the rocket at at the same height when x = 0.245
That height is 9.25 ft
------
Cheers,
Stan H.
-----------
RELATED QUESTIONS
A model rocket is launced into the air and follows a parabolic path described by the... (answered by stanbon)

A baseball is hit and follows a parabolic path described by the function y=-3x^2+18x+1,... (answered by nerdybill)

A model rocket is launched from the roof of a building. It's flight path is b modeled by... (answered by Boreal)

A toy rocket is launched from ground level. Its distance in feet from the ground in t... (answered by Alan3354)

A model rocket is launched from a roof into a large field. The path of the rocket can... (answered by Alan3354)

A toy rocket is launched in an open field. The path of the rocket can be modelled by the... (answered by ikleyn)

A toy rocket is launched from the ground with an initial velocity of 80 feet per second.... (answered by stanbon)

A rocket is launched from the surface of the Earth. The surface of the Earth can be... (answered by ikleyn)