document.write( "Question 754877: write an equation of the ellipse with the vertices at (1,5) and (1,-1) and co-vertices at (0,2) and (2,2) \n" ); document.write( "

Algebra.Com's Answer #459731 by lwsshak3(11628) $\"\"$ $\"About$

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write an equation of the ellipse with the vertices at (1,5) and (1,-1) and co-vertices at (0,2) and (2,2)
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\n" ); document.write( "Standard form of equation for an ellipse with vertical transverse axis:
\n" ); document.write( " $\"%28x-h%29%5E2%2Fb%5E2%2B%28y-k%29%5E2%2Fa%5E2=1\"$ , a>b, (h,k)=(x,y) coordinates of center
\n" ); document.write( "x-coordinate of center=1
\n" ); document.write( "y-coordinate of center=2 (midpoint of 5 and -1)
\n" ); document.write( "center: (1,2)
\n" ); document.write( "length of vertical transverse axis=6 (5 to -1)=2a
\n" ); document.write( "a=3
\n" ); document.write( "a^2=9
\n" ); document.write( "b=2
\n" ); document.write( "b^2=4
\n" ); document.write( "Equation of given ellipse: $\"%28x-1%29%5E2%2F4%2B%28y-2%29%5E2%2F9=1\"$ \r
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