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    jordo6889's Avatar
    jordo6889 Posts: 13, Reputation: 1
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    #1

    Oct 26, 2009, 09:59 AM
    find standard form given eccentricity and center of ellipse
    Find the equation in standard form of an ellipse with eccentricity 5/8, center at (0,0) and major axis on the x-axis and of length 16.
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    ebaines Posts: 12,131, Reputation: 1307
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    #2

    Oct 26, 2009, 12:29 PM

    Use the standard equation for the ellipse, centered at (0,0):



    You are told that the length of the major axis is 16, so this means the semi-major axis a is 8. Next, use the definition of eccentricity:



    to determine the value for b.
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