SOLUTION: Please help me with this: The circular path of cars on a Ferris wheel can be modeled with the equation. The circular path of cars on a Ferris wheel can be modeled with the equati

Algebra ->  Equations -> SOLUTION: Please help me with this: The circular path of cars on a Ferris wheel can be modeled with the equation. The circular path of cars on a Ferris wheel can be modeled with the equati      Log On


   

Question 1086293: Please help me with this:
The circular path of cars on a Ferris wheel can be modeled with the equation. The circular path of cars on a Ferris wheel can be modeled with the equation x^2-14x+y^2-150y=- 49 , measured in feet. What is the maximum height above ground of the riders?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Complete the square,
x%5E2-14x%2By%5E2-150y=-49
%28x%5E2-14x%2B49%29%2B%28y%5E2-150%2B5625%29=-49%2B49%2B5625
%28x-7%29%5E2%2B%28y-75%29%5E2=5625
So the circle is centered at (7,75) and has a radius of R=sqrt%285625%29=75.
The assumption is that y=0 is the ground.
THe maximum height is then y%5Bmax%5D=2R=150ft