document.write( "Question 585793: write an equation that satisfies the given conditions. Endpoins of major axis at (9,3) and (-11,3), endpoints of minor axis at (-1,8) and (-1,-2) \n" ); document.write( "
Algebra.Com's Answer #373562 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! write an equation that satisfies the given conditions. Endpoints of major axis at (9,3) and (-11,3), endpoints of minor axis at (-1,8) and (-1,-2) \n" ); document.write( "** \n" ); document.write( "Standard form of equation for an ellipse with horizontal major axis: (x-h)^2/a^2+(y-k)^2/b^2=1, a>b), (h,k) being the (x,y) coordinates of the center: \n" ); document.write( "y-coordinate of center=3 \n" ); document.write( "x-coordinate of center=(9+(-11))/2=-2/2=-1 (mid point formula) \n" ); document.write( "center: (-1,3) \n" ); document.write( "length of horizontal major axis=-11 to 9=20=2a \n" ); document.write( "a=10 \n" ); document.write( "a^2=100 \n" ); document.write( ".. \n" ); document.write( "length of minor axis=-2 to 8=10 \n" ); document.write( "b=5 \n" ); document.write( "b^2=25 \n" ); document.write( ".. \n" ); document.write( "Equation of given ellipse: \n" ); document.write( "(x+1)^2/100+(y-3)^2/25=1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |