document.write( "Question 1162790: Suppose z varies directly with x and inversely with the square of y
\n" ); document.write( ". If z=9 when x=3 and y=3, what is z when x=11 and y=6?
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Algebra.Com's Answer #786639 by KMST(5328)\"\" \"About 
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If z varies directly with x and inversely with the square of y,
\n" ); document.write( "\"Z=k%2Ax%2A%281%2Fy%5E2%29\" for all (x,y,z) points in the relationship,
\n" ); document.write( "for some constant \"k%3E0\" .
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\n" ); document.write( "We just have to find \"k\" .
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\n" ); document.write( "If z=9 when x=3 and y=3, we know that \"9=k%2A3%2A%281%2F3%5E2%29\"
\n" ); document.write( "\"9=k%2A3%2A%281%2F3%5E2%29\"
\n" ); document.write( "\"9=k%2A3%2F3%5E2\"
\n" ); document.write( "\"9%2A3=k\"
\n" ); document.write( "\"k=27\"
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\n" ); document.write( "What is z when x=11 and y=6?
\n" ); document.write( "\"z=k%2Ax%2A%281%2Fy%5E2%29\"
\n" ); document.write( "\"z=27%2A11%2A%281%2F6%5E2%29\"
\n" ); document.write( "\"z=27%2A11%2A%281%2F36%29\"
\n" ); document.write( "\"z=27%2A11%2F36\"
\n" ); document.write( "\"highlight%28z=33%2F4=8.25%29\"
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