document.write( "Question 708076: find the vertices and foci
\n" ); document.write( "X^2/81+Y^2/25=1 \n" ); document.write( "
Algebra.Com's Answer #436205 by lwsshak3(11628)\"\" \"About 
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find the vertices and foci
\n" ); document.write( "X^2/81+Y^2/25=1
\n" ); document.write( "This is an equation of an ellipse with horizontal major axis.
\n" ); document.write( "Its standard form: \"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\", a>b, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given equation:
\n" ); document.write( "center:(0,0)
\n" ); document.write( "a^2=81
\n" ); document.write( "a=9
\n" ); document.write( "b^2=25
\n" ); document.write( "b=5
\n" ); document.write( "vertices: (0±a,0)=(0±9,0)=(-9,0) and (9,0)
\n" ); document.write( "c^2=a^2-b^2=81-25==56
\n" ); document.write( "c=√56≈7.5
\n" ); document.write( "foci: (0±c,0)=(0±7.5,0)=(-7.5,0) and (7.5,0) \n" ); document.write( "
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