SOLUTION: A racetrack is modeled with the graph of an ellipse with vertices at (2,3) and (-8,3) and the foci at (1,3) and (-7,3). which equation models an ellipse?

Algebra ->  Probability-and-statistics -> SOLUTION: A racetrack is modeled with the graph of an ellipse with vertices at (2,3) and (-8,3) and the foci at (1,3) and (-7,3). which equation models an ellipse?      Log On


   

Question 370111: A racetrack is modeled with the graph of an ellipse with vertices at (2,3) and (-8,3) and the foci at (1,3) and (-7,3). which equation models an ellipse?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Vertices:(-8%2C%7B%7B%7B3) (2,3)
a=5
Foci:(-7,3) (1,3)
X center of the ellipse: -8%2B%282%2B8%29%2F2=-8%2B5=-3
(-3,3)
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c=-3-%28-7%29=4
c%5E2=a%5E2-b%5E2
16=25-b%5E2
b=3
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%28x%2B3%29%5E2%2F5%5E2%2B%28y-3%29%5E2%2F3%5E2=1
%28x%2B3%29%5E2%2F25%2B%28y-3%29%5E2%2F9=1
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