5. Ifx Varies As The Square Of Y And Inversely As Z And X = 12 When Y = 3 And Z =6, Find X When Y =

5. Ifx varies as the square of y and inversely as z and x = 12 when y = 3 and z =6, find x when y = 9 and 2 = 6

 

\mathcal{PROBLEM:}

  • 5. Ifx varies as the square of y and inversely as z and x = 12 when y = 3 and z =6, find x when y = 9 and 2 = 6

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\mathcal{ANSWER:}

  • {\large{nderline{\boxed{\sf{\green{x=108}}}}}}

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\mathcal{SOLUTION:}

\small{ \tt \red{FORMULA: x=\frac{ay^2}{z} }}\\\small{ \tt \purple{12=\frac{a\times3^2}{6} }}\\\small{ \tt \purple{a=12\times\frac{6}{3^2} }}\\\small{ \tt \purple{a=12\times\frac{6}{9} }}\\\small{ \tt \purple{a=12\times\frac{2}{3} }}\\\small{ \tt \purple{a=4\times2}}\\\small{ \tt \purple{a=8}}

\small{ \tt \purple{Write\:the\:equation\:of\:the\:function:x=\frac{8y^2}{z} }}

\small{ \tt \purple{x=\frac{8\times9^2}{6} }}\\\small{ \tt \purple{x=\frac{4\times9^2}{3} }}\\\small{ \tt \purple{x=\frac{324}{3} }}\\\small{ \tt \purple{x=108}}

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