document.write( "Question 583310: endpoints of major axis at (-11,5) and (7,5), endpoints of minor axis at (-2,9) and(-2,1). Write an equation for the elipse that satisfies each set of conditions. \n" ); document.write( "
Algebra.Com's Answer #372463 by lwsshak3(11628)\"\" \"About 
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endpoints of major axis at (-11,5) and (7,5), endpoints of minor axis at (-2,9) and(-2,1). Write an equation for the elipse that satisfies each set of conditions.
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\n" ); document.write( "Standard form of equation for an ellipse with horizontal major axis:
\n" ); document.write( "(x-h)^2/a^2+(y-k)^2/b^2,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=(-11+7)/2=-4/2=-2 (use midpoint formula)
\n" ); document.write( "y-coordinate of center=(9+1)/2=10/2=5 (use midpoint formula)
\n" ); document.write( "center:(-2,5)
\n" ); document.write( "length of horizontal major axis=-11 to 7=18=2a
\n" ); document.write( "a=9
\n" ); document.write( "a^2=81
\n" ); document.write( "..
\n" ); document.write( "length of minor axis=9 to 1=8=2b
\n" ); document.write( "b=4
\n" ); document.write( "b^2=16
\n" ); document.write( "..
\n" ); document.write( "Equation of given ellipse:
\n" ); document.write( "(x+2)^2/81+(y-5)^2/16=1 \n" ); document.write( "
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