document.write( "Question 419818: Choose the answer that best represents the foci of an ellipse with the equation 25x^2+38y^2=900.\r
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document.write( "(a) (-6, 0)
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document.write( "(b) (+or- sqrt [11], 0)
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document.write( "(c) (0, sqrt [11])
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document.write( "(d) (+or- sqrt [6], 0) \n" );
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Algebra.Com's Answer #293492 by Gogonati(855)![]() ![]() You can put this solution on YOUR website! The equation of the ellipse is:\r \n" ); document.write( "\n" ); document.write( " (25*x^2)/900)+(38*y^2)/900)=1\r \n" ); document.write( "\n" ); document.write( " X^2/36+y^2/(450/19)=1 \n" ); document.write( "From the last equation we have: a=6 and b=sqrt(450/19)\r \n" ); document.write( "\n" ); document.write( "c^2=36-(450/19) \n" ); document.write( "c^2=36-23.6\r \n" ); document.write( "\n" ); document.write( "c^2=12.3 \n" ); document.write( "c=3.5 \n" ); document.write( " The focee of the ellipse are:(-3.5,0) (3.5,0) \n" ); document.write( " |