document.write( "Question 524277: Write an equation of the ellipse with foci (0,+2)|(0,-2) and co-vertices at (+1,0)|(-1,0) \n" ); document.write( "
Algebra.Com's Answer #347732 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Write an equation of the ellipse with foci (0,+2)|(0,-2) and co-vertices at (+1,0)|(-1,0) \n" ); document.write( "** \n" ); document.write( "Given equation is that of an ellipse with vertical major axis of the standard form: \n" ); document.write( "(x-h)^2/b^2+(y-k)^2/a^2=1, with (h,k) being the (x,y) coordinates or the center. \n" ); document.write( ".. \n" ); document.write( "For given equation: \n" ); document.write( "Center: (0,0) \n" ); document.write( "Co-vertices or minor axis=2=2b \n" ); document.write( "b=1 \n" ); document.write( "b^2=1 \n" ); document.write( "c=2 \n" ); document.write( "c^2=4 \n" ); document.write( "c^2=a^2-b^2 \n" ); document.write( "a^2=c^2+b^2=4+1=5 \n" ); document.write( "a=√5≈2.24 \n" ); document.write( "Equation: \n" ); document.write( "(x-0)^2/1+(y-0)^2/5=1 \n" ); document.write( "x^2+y^2/5=1 \n" ); document.write( " |