document.write( "Question 875578: (x-4)^2/49+(y+5)^2/16=1\r
\n" ); document.write( "\n" ); document.write( "Find the center, the major axis, the minor axis, and the distance from the center to the foci \n" ); document.write( "

Algebra.Com's Answer #528412 by lwsshak3(11628) $\"\"$ $\"About$

You can put this solution on YOUR website!
(x-4)^2/49+(y+5)^2/16=1
\n" ); document.write( "Find the center, the major axis, the minor axis, and the distance from the center to the foci
\n" ); document.write( "***
\n" ); document.write( "Given equation is that of an ellipse with horizontal major axis.
\n" ); document.write( "Its standard form of equation: $\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"$ ,a>b, (h,k)=coordinates of center.
\n" ); document.write( "center: (4,-5)
\n" ); document.write( "a^2=49
\n" ); document.write( "a=7
\n" ); document.write( "length of major axis=2a=14
\n" ); document.write( "b^2+16
\n" ); document.write( "b=4
\n" ); document.write( "length of minor axis=2b=8
\n" ); document.write( "c^2=a^2-b^2=49-16=33
\n" ); document.write( "c=√33
\n" ); document.write( "distance from the center to the foci=√33-4≈1.74
\n" ); document.write( " \n" ); document.write( "

\n" );