document.write( "Question 574521: What is the standard form of an ellipse whose endpoints of the major axis are at (-11,5) and (7,5) and endpoints of the minor axis are at (-2,9) and (-2,1)? \n" ); document.write( "
Algebra.Com's Answer #369221 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! What is the standard form of an ellipse whose endpoints of the major axis are at (-11,5) and (7,5) and endpoints of the minor axis are at (-2,9) and (-2,1)? \n" ); document.write( "*** \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=1, a>b, (h,k) being the (x,y) coordinates of the center. \n" ); document.write( "For given ellipse: \n" ); document.write( "center:(-2,5) \n" ); document.write( "length of horizontal major axis=11+7=18=2a \n" ); document.write( "a=9 \n" ); document.write( "a^2=81 \n" ); document.write( "length of minor axis=9-1=8=2b \n" ); document.write( "b=1 \n" ); document.write( "b^2=1 \n" ); document.write( "Equation of given ellipse: \n" ); document.write( "(x+2)^2/81+(y-5)^2=1 \n" ); document.write( " \n" ); document.write( " |