SOLUTION: Write an equation for the ellipse with each set of characteristics. Then answer the question. Vertices (-7,-3), (13-,3) foci (-5,-3),(11,-3) What is the a and b value of the ellip

Algebra ->  Equations -> SOLUTION: Write an equation for the ellipse with each set of characteristics. Then answer the question. Vertices (-7,-3), (13-,3) foci (-5,-3),(11,-3) What is the a and b value of the ellip      Log On


   

Question 1185963: Write an equation for the ellipse with each set of characteristics. Then answer the question. Vertices (-7,-3), (13-,3) foci (-5,-3),(11,-3)
What is the a and b value of the ellipse?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


The major axis is horizontal; the center of the ellipse is halfway between the vertices (or halfway between the foci), at (3,-3). The equation is

%28x-3%29%5E2%2Fa%5E2%2B%28y%2B3%29%5E2%2Fb%5E2=1

a is the distance from the center to each vertex = 10
c is the distance from the center to each vertex = 8
c^2=a^2-b^2 --> b=6

ANSWERS:
a=10; b=6
The equation is %28x-3%29%5E2%2F100%2B%28y%2B3%29%5E2%2F36=1