document.write( "Question 195733: Building a pool in the shape of an ellipse. The equation for the pool is x^2/324 + y^2/196 = 1 Find the longest distance and shortest distance across the pool.
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document.write( "I'm not sure where to start?
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document.write( "y^2=1-x^2/324 and then square both sides? \n" );
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Algebra.Com's Answer #146779 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Building a pool in the shape of an ellipse. The equation for the pool is x^2/324 + y^2/196 = 1 Find the longest distance and shortest distance across the pool. \n" ); document.write( "------------------------ \n" ); document.write( "a = sqrt(324) = 18 is one-half the major axis \n" ); document.write( "b = sqrt(196) = 14 is one-half the minor axis \n" ); document.write( "--------------------------- \n" ); document.write( "longest distance = 2*18 = 36 \n" ); document.write( "--- \n" ); document.write( "shortest distance = 2*14 = 28 \n" ); document.write( "--- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |