document.write( "Question 632529: Find the equation of the ellipse whose length of the major axis is 20 and
\n" ); document.write( "foci are (0, ą5) \n" ); document.write( "

Algebra.Com's Answer #398488 by lwsshak3(11628) $\"\"$ $\"About$

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Find the equation of the ellipse whose length of the major axis is 20 and
\n" ); document.write( "foci are (0, ą5)
\n" ); document.write( "**
\n" ); document.write( "This is an ellipse with vertical major axis.
\n" ); document.write( "Its standard form of equation: $\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"$
\n" ); document.write( "center:(0,0)
\n" ); document.write( "2a=length of vertical major axis=20
\n" ); document.write( "a=10
\n" ); document.write( "a^2=100
\n" ); document.write( "..
\n" ); document.write( "distance between foci=10=2c
\n" ); document.write( "c=5
\n" ); document.write( "c^2=25
\n" ); document.write( "..
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2_c^2=100-25=75
\n" ); document.write( "b=√75≈8.7
\n" ); document.write( "..
\n" ); document.write( "Equation of given ellipse:
\n" ); document.write( " $\"x%5E2%2F75%2By%5E2%2F100=1\"$ \n" ); document.write( "

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