document.write( "Question 678539: Find the standard form of the equation of an ellipse satisfying these conditions. Vertices (7,5),(7-1) and the length of the minor axis is 4 \n" ); document.write( "
Algebra.Com's Answer #421557 by lwsshak3(11628)\"\" \"About 
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Find the standard form of the equation of an ellipse satisfying these conditions. Vertices (7,5),(7-1) and the length of the minor axis is 4
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\n" ); document.write( "Given information show that this is an ellipse with 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)=(x,y) coordinates of center.
\n" ); document.write( "For given ellipse:
\n" ); document.write( "x-coordinate of center=7
\n" ); document.write( "y-coordinate of center=2 (midpoint of 5 and -1)
\n" ); document.write( "center:((7,2)
\n" ); document.write( "length of vertical major axis=6 (-1 to 5)=2a
\n" ); document.write( "a=3
\n" ); document.write( "a^2=9
\n" ); document.write( "given length of minor axis=4=2b
\n" ); document.write( "b=2
\n" ); document.write( "b^2=4
\n" ); document.write( "Equation of given ellipse:\"%28x-7%29%5E2%2F4%2B%28y-2%29%5E2%2F9=1\" \n" ); document.write( "
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