document.write( "Question 708198: identify the center, the length of major axis, and the length of the minor axis for the following ellipse.
\n" ); document.write( "-16y+52=-2x^2-8x-y^2 \n" ); document.write( "

Algebra.Com's Answer #436200 by lwsshak3(11628) $\"\"$ $\"About$

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identify the center, the length of major axis, and the length of the minor axis for the following ellipse.
\n" ); document.write( "-16y+52=-2x^2-8x-y^2
\n" ); document.write( "rearrange terms
\n" ); document.write( "2x^2+8x+y^2-16y=-52
\n" ); document.write( "complete the square
\n" ); document.write( "2(x^2+4x+4)+(y^2-16y+64)=-52+8+64
\n" ); document.write( "2(x+2)^2+(y-8)^2=20
\n" ); document.write( " $\"%28x%2B2%29%5E2%2F10%2B%28y-8%29%5E2%2F20=1\"$
\n" ); document.write( "This is an equation of an ellipse with vertical major axis.
\n" ); document.write( "Its standard form: $\"+%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of center
\n" ); document.write( "For given ellipse:
\n" ); document.write( "center: (-2,8)
\n" ); document.write( "length of vertical major axis=2a=2√20≈8.94
\n" ); document.write( "length of minor axis=2b=2√10≈6.32 \n" ); document.write( "

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