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

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> 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      Log On


   

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) About Me  (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.
graph%28400%2C400%2C-2%2C2%2C-10%2C10%2C-x%5E2%2B10x%2C-x%2B10%29
---------------------------------
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.
-----------