SOLUTION: Write the equation of the ELLIPSE that satisfies the given conditions Vertex (6.3), foci (-4,3) and (4,3)

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Question 1190957: Write the equation of the ELLIPSE that satisfies the given conditions
Vertex (6.3), foci (-4,3) and (4,3)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!


given:

Vertex (6,3)
foci (-4,3) and (4,3) =>c is the distance between foci and center=>c=4
and centre is half way between foci: at (0,3) ->h=0 and k=3
a is the distance between vertices and center =>a=6
b%5E2=6%5E2-4%5E2=36-16=20
Standard equation for this ellipse is
%28x+-+h%29%5E2%2Fa%5E2+%2B+%28y+-+k%29%5E2+%2Fb%5E2=+1
your equation is:
%28x+-+0%29%5E2%2F6%5E2+%2B+%28y+-+3%29%5E2+%2F20=+1
x%5E2%2F36+%2B+%28y-3%29+%5E2+%2F20=+1