document.write( "Question 693239: Write in standard form. It is a ellipse. The center is (0,0) and the foci is (+-3,0) and the major axis is 12. \n" ); document.write( "

Algebra.Com's Answer #427553 by lwsshak3(11628) $\"\"$ $\"About$

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Write in standard form. It is a ellipse. The center is (0,0) and the foci is (+-3,0) and the major axis is 12.
\n" ); document.write( "**
\n" ); document.write( "This is an ellipse with horizontal major axis.
\n" ); document.write( "Its standard form of equation: $\"%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of center.
\n" ); document.write( "For given ellipse:
\n" ); document.write( "Given center: (0,0)
\n" ); document.write( "length of horizontal major axis=12=2a
\n" ); document.write( "a=6
\n" ); document.write( "a^2=36
\n" ); document.write( "c=3 (distance from center to foci)
\n" ); document.write( "c^2=9
\n" ); document.write( "c^2=a^2-b^2
\n" ); document.write( "b^2=a^2-c^2=36-9=25
\n" ); document.write( "b=5
\n" ); document.write( "Equation of given ellipse: $\"x%5E2%2F36%2By%5E2%2F25=1\"$ \n" ); document.write( "

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