document.write( "Question 599811: find the foci, length of the major axis, and length of the minor axis for the ellips x^2 + 4y^2 = 16. \n" ); document.write( "
Algebra.Com's Answer #379096 by lwsshak3(11628)\"\" \"About 
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find the foci, length of the major axis, and length of the minor axis for the ellipse
\n" ); document.write( "x^2 + 4y^2 = 16.
\n" ); document.write( "divide by 16
\n" ); document.write( "x^2/16 + y^2/4 = 1
\n" ); document.write( "This is an equation for an ellipse with horizontal major axis.
\n" ); document.write( "Its standard form: (x-h)^2/a^2+(y-k)^2/b^2
\n" ); document.write( "For given equation:
\n" ); document.write( "center:(0,0)
\n" ); document.write( "a^2=16
\n" ); document.write( "a=√16=4
\n" ); document.write( "length of horizontal major axis=2a=8
\n" ); document.write( "b^2=4
\n" ); document.write( "b=2
\n" ); document.write( "length of minor axis=2b=4
\n" ); document.write( "Foci:
\n" ); document.write( "c^2=a^2-b^2=16-4=12
\n" ); document.write( "c=√12≈3.5
\n" ); document.write( "foci: (0±√20,0)=(0±3.5,0)=(-3.5,0) and (3.5,0)
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