SOLUTION: Choose the equation that best represents an ellipse for the given foci and co-vertices. foci (+or- 3, 0) co-vertices (0, +or- 6) (a) x^2/9 + y^2/12 = 1 (b) x^2/27 + y^2/54

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: Choose the equation that best represents an ellipse for the given foci and co-vertices. foci (+or- 3, 0) co-vertices (0, +or- 6) (a) x^2/9 + y^2/12 = 1 (b) x^2/27 + y^2/54       Log On

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Question 421912: Choose the equation that best represents an ellipse for the given foci and co-vertices.
foci (+or- 3, 0)
co-vertices (0, +or- 6)
(a) x^2/9 + y^2/12 = 1
(b) x^2/27 + y^2/54 = 1
(c) x^2/45 + y^2/36 = 1
(d) x^2/36 + y^2/18 = 1
Answer by Gogonati(817) About Me  (Show Source):
You can put this solution on YOUR website!

Answer:If the foci of ellipse are (-3, 0), (3, 0) the equation of the ellipse is:
x%5E2%2F45%2By%5E2%2F36=1
c%5E2=a%5E2-b%5E2=45-36=9
Check:
c=%2B-sqrt%289%29
c=-3, c=3.