document.write( "Question 631188: What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)? \n" ); document.write( "

Algebra.Com's Answer #397964 by lwsshak3(11628) $\"\"$ $\"About$

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What is the equation of the ellipse with foci (0, 4), (0, -4) and vertices (0, 8), (0, -8)?
\n" ); document.write( "This is an ellipse with vertical major axis.
\n" ); document.write( "Its standard form of equation:
\n" ); document.write( " $\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of the center.
\n" ); document.write( "For given ellipse:
\n" ); document.write( "center: (0,0)
\n" ); document.write( "a=8
\n" ); document.write( "a^2=64
\n" ); document.write( "..
\n" ); document.write( "c=4
\n" ); document.write( "c^2=16
\n" ); document.write( "..
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2-c^2=64-16=48
\n" ); document.write( "b≈√48≈6.93
\n" ); document.write( "..
\n" ); document.write( "equation of given ellipse:
\n" ); document.write( " $\"x%5E2%2F48%2By%5E2%2F64=1\"$ \n" ); document.write( "

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