document.write( "Question 726051: What are the foci of the ellipse? Graph the ellipse\r
\n" ); document.write( "\n" ); document.write( "x^2/49 + y^2/64 =1 \n" ); document.write( "
Algebra.Com's Answer #444580 by lwsshak3(11628)\"\" \"About 
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What are the foci of the ellipse? Graph the ellipse
\n" ); document.write( "x^2/49 + y^2/64 =1
\n" ); document.write( "This is an equation of an ellipse with vertical major axis.
\n" ); document.write( "Its standard form: \"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\", a>b, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given ellipse:
\n" ); document.write( "center: (0,0)
\n" ); document.write( "a^2=64
\n" ); document.write( "b^2=49
\n" ); document.write( "c^2=a^2-b^2=64-49=15
\n" ); document.write( "c=√15≈3.9
\n" ); document.write( "foci: (0±c,0)=(0±3.9,0)=(-3.9,0) and (3.9,0)\r
\n" ); document.write( "\n" ); document.write( "see graph below:
\n" ); document.write( "y=±(64-64x^2/49)^.5\r
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