document.write( "Question 1192548: The foci are at (3, 5) and (1, 5), and the ellipse has eccentricity 0.25. \n" ); document.write( "

Algebra.Com's Answer #824426 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "The foci are (1,5) and (3,5); so the center is (2,5), and the distance from the center to each focus, c, is 1.

\n" ); document.write( "The eccentricity 0.25=1/4 is c/a, where a is the semi-major axis; so a=4.

\n" ); document.write( "c^2=a^2-b^2 where b is the semi-minor axis, so b is sqrt(15).

\n" ); document.write( "The major axis is horizontal, so the equation is

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

\n" ); document.write( " $\"%28x-2%29%5E2%2F16%2B%28y-5%29%5E2%2F15=1\"$

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