algebra 2

Find the equation that is satisfied by the set of points such that the sum of the distances from the point to (2,0) and (-2,0) is 6. Express your answer in standard form.

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asked by lesly
  1. Since you want the equation in standard form, you must be familiar with the values of a, b, and c as they relate to the ellipse.

    here c = 2 and 2a = 6 or a = 3
    in a standard ellipse
    b^2 + c^2 = a^2
    b^2 + 4 = 9
    b^2 = 5

    so

    x^2/9 + y^2/5 = 1 is your equation.

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    posted by Reiny

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