document.write( "Question 539898:
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document.write( "Focus at (0,1); 4/3 is One-Half the Length of Minor Axis.
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document.write( "Write equation of the ellipse that has center at the Origin. \n" );
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Algebra.Com's Answer #353699 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! Focus at (0,1); 4/3 is One-Half the Length of Minor Axis. \n" ); document.write( "Write equation of the ellipse that has center at the Origin. \n" ); document.write( "** \n" ); document.write( "This is an ellipse with vertical major axis. Standard form of equation: \n" ); document.write( "(x-h)^2/b^2-(y-k)^2/a^2=1, a>b, (h,k) being (x,y) coordinates of the center. \n" ); document.write( "center:(0,0) \n" ); document.write( "One-Half the Length of Minor Axis=4/3=b \n" ); document.write( "b^2=16/9 \n" ); document.write( "c=distance from center to focus=1 \n" ); document.write( "c^2=1^1=1 \n" ); document.write( "c^2=a^2-b^2 \n" ); document.write( "a^2=c^2+b^2=1+16/9=9/9+16/9=25/9 \n" ); document.write( "Equation of given ellipse: \n" ); document.write( "9x^2/16+9y^2/25=1 \n" ); document.write( " |