document.write( "Question 1136850: Find the standard form of the equation of the ellipse with the given characteristics. Center: (6, 7); a = 3c; foci: (2, 7), (10, 7) \n" ); document.write( "
Algebra.Com's Answer #754676 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "c is the distance from the center of the ellipse to each focus. The coordinates of the center and the two foci tell us c=4; that makes a, the semi-major axis, 3c = 12.

\n" ); document.write( "a, b, and c in an ellipse are related by c^2 = a^2-b^2; that gives us b, the semi-minor axis, equal to 8*sqrt(2).

\n" ); document.write( "The standard form of the equation of an ellipse with center (h,k), semi-major axis a, and semi-minor axis b is

\n" ); document.write( "\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2+=+1\"

\n" ); document.write( "You have all the numbers to fill in to write the equation.
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