document.write( "Question 622202: Graph an ellipse with foci at (0, ±2 times square root of 10 ) and x-intercept at (9, 0). \n" ); document.write( "
Algebra.Com's Answer #391500 by lwsshak3(11628)\"\" \"About 
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Graph an ellipse with foci at (0, ±2 times square root of 10 ) and x-intercept at (9, 0)
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\n" ); document.write( "Standard form of equation of an ellipse with vertical major axis:
\n" ); document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1, a>b, (h,k)=(x,y) coordinates of center
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\n" ); document.write( "For given ellipse:
\n" ); document.write( "center:(0,0)
\n" ); document.write( "c=1/2 distance between foci=2√10
\n" ); document.write( "c^2=40
\n" ); document.write( "..
\n" ); document.write( "b=9
\n" ); document.write( "b^2=81
\n" ); document.write( "..
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "a^2=c^2+b^2=40+81=121
\n" ); document.write( "a=√121=11
\n" ); document.write( "..
\n" ); document.write( "Equation:
\n" ); document.write( "x^2/81+y^2/121=1
\n" ); document.write( "see graph below as a visual check:
\n" ); document.write( "y=±(121-121x^2/81)^.5\r
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