document.write( "Question 675936: What is the Standard equation of the ellipse with the characteristics Center (4,4), vertical minor axis with length of 16 units, and c=6. \n" ); document.write( "
Algebra.Com's Answer #420228 by lwsshak3(11628)\"\" \"About 
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What is the Standard equation of the ellipse with the characteristics Center (4,4), vertical minor axis with length of 16 units, and c=6.
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\n" ); document.write( "This is an ellipse with horizontal major axis since given minor axis is vertical.
\n" ); document.write( "Its standard form of equation: \"y=%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: (4,4)
\n" ); document.write( "given length of minor vertical axis=16=2b
\n" ); document.write( "b=8
\n" ); document.write( "b^2=64
\n" ); document.write( "given c of foci=6
\n" ); document.write( "c^2=36
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "a^2=c^2+b^2=36+64=100
\n" ); document.write( "Equation of given ellipse:
\n" ); document.write( " \"y=%28x-4%29%5E2%2F100%2B%28y-4%29%5E2%2F64=1\"
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