document.write( "Question 769177: What is the equation of the ellipse with foci (2, 0), (-2, 0) and vertices (7, 0), (-7, 0)
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #469393 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
What is the equation of the ellipse with foci (2, 0), (-2, 0) and vertices (7, 0), (-7, 0)
\n" ); document.write( "***
\n" ); document.write( "Given ellipse has a horizontal major axis
\n" ); document.write( "It standard form of equation: \"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\", a>b, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given ellipse:
\n" ); document.write( "center: (0,0)
\n" ); document.write( "a=7 (distance from center to vertices)
\n" ); document.write( "a^2=49
\n" ); document.write( "c=2 (distance from center to foci)
\n" ); document.write( "c^2=4
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2-c^2=49-4=45
\n" ); document.write( "Equation of given ellipse:
\n" ); document.write( " \"x%5E2%2F49%2By%5E2%2F45=1\"
\n" ); document.write( "
\n" );