document.write( "Question 470793: Write an equation in standard form of an ellipse that is 10 units high and 8 units wide. The center of the ellipse is (0,0). \n" ); document.write( "
Algebra.Com's Answer #323127 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Write an equation in standard form of an ellipse that is 10 units high and 8 units wide. The center of the ellipse is (0,0) \n" ); document.write( ".. \n" ); document.write( "Standard form of ellipse with vertical major axis and center at the origin: \n" ); document.write( "x^2/b^2+y^2/a^2=1, a>b \n" ); document.write( ".. \n" ); document.write( "2a=length of major axis=10 \n" ); document.write( "a=5 \n" ); document.write( "a^2=25 \n" ); document.write( ".. \n" ); document.write( "2b=length of minor axis=8 \n" ); document.write( "b=4 \n" ); document.write( "b^2=16 \n" ); document.write( ".. \n" ); document.write( "Equation: x^2/16+y^2/25=1 \n" ); document.write( "See graph below as a visual check on the answer \n" ); document.write( ".. \n" ); document.write( "y=±(25-25x^2/16)^.5 \n" ); document.write( " |