document.write( "Question 847583: find an equation of the ellipse having the given foci and sum of focal radii (-5,1), (3,1); 16 and graph it \n" ); document.write( "
Algebra.Com's Answer #510612 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" );
document.write( "Hi
\n" );
document.write( "major axis: 2a = 16, a = 8
\n" );
document.write( "(-5,1) and (3,1);   and 8/2 = 4, foci distance from center 
\n" );
document.write( " \"16+=+64+-b%5E2\"  b^2 = 48
\n" );
document.write( "\"%28x%2B1%29%5E2%2F64+%2B+%28y+-1%29%5E2%2F48=+1\" 
\n" );
document.write( "\r
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "Standard Form of an Equation of an Ellipse is \"%28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+\" 
\n" );
document.write( "where Pt(h,k) is the center. (a variable positioned to correspond with major axis)
\n" );
document.write( " a and b  are the respective vertices distances from center
\n" );
document.write( " and ±\"sqrt%28a%5E2-b%5E2%29\"are the foci distances from center: a > b \n" );
document.write( "
\n" );