document.write( "Question 536231: Find an equation for the ellipse that satisfies the given conditions.
\n" ); document.write( "Foci (0, ą3), length of minor axis 8 \n" ); document.write( "

Algebra.Com's Answer #352603 by lwsshak3(11628) $\"\"$ $\"About$

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Find an equation for the ellipse that satisfies the given conditions.
\n" ); document.write( "Foci (0, ą3), length of minor axis 8
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\n" ); document.write( "Given coordinates of the Foci show this is an ellipse with vertical major axis (y-coordinates change while x-coordinates do not). Standard form of equation: (x-h)^2/b^2+(y-k)^2/a^2=1,
\n" ); document.write( "a>b, (h,k) being the (x,y) coordinates of the center.
\n" ); document.write( "For given ellipse:
\n" ); document.write( "x-coordinate of center=0 (given)
\n" ); document.write( "y-coordinate of center=mid point of Foci on vertical major axis=0
\n" ); document.write( "Center: (0,0)
\n" ); document.write( "..
\n" ); document.write( "length of minor axis=8 (given)=2b
\n" ); document.write( "b=4
\n" ); document.write( "b^2=16
\n" ); document.write( "..
\n" ); document.write( "c=3
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "a^2=c^2+b^2=9+16=25
\n" ); document.write( "..
\n" ); document.write( "Equation of ellipse:
\n" ); document.write( "(x-0)^2/16+(y-0)^2/25=1
\n" ); document.write( "x^2/16+y^2/25=1 \n" ); document.write( "

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