document.write( "Question 936512: What are the coordinates of the center, the lengths of the major and minor axes, vertices, co-vertices, and foci for each ellipse:\r
\n" ); document.write( "\n" ); document.write( "x^2/9 + y^2/16 =1\r
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Algebra.Com's Answer #569983 by lwsshak3(11628)\"\" \"About 
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What are the coordinates of the center, the lengths of the major and minor axes, vertices, co-vertices, and foci for each ellipse:
\n" ); document.write( "x^2/9 + y^2/16 =1
\n" ); document.write( "Given ellipse has a vertical major axis:
\n" ); document.write( "Its standard form of equation: \"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\", a>b, (h,k)=coordinates of center
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\n" ); document.write( "For given ellipse:
\n" ); document.write( "center:(0,0)
\n" ); document.write( "a^2=16
\n" ); document.write( "a=4
\n" ); document.write( "length of major axis=2a=8
\n" ); document.write( "b^2=9
\n" ); document.write( "b=3
\n" ); document.write( "length of minor axis=2b=6
\n" ); document.write( "vertices:(0,0±a)=(0,0±4)=(0,-4) and (0,4)
\n" ); document.write( "co-vertices:(0±b,0)=(0±3,0)=(-3,0) and (3,0)
\n" ); document.write( "foci:
\n" ); document.write( "c^2=a^2-b^2=16-9=7
\n" ); document.write( "c=√7≈2.6
\n" ); document.write( "foci:(0,0±c)=(0,0±2.6)=(0,-2.6) and (0,2.6)
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