if x varies inversely as y^2 and x=3 when y=6 find x when y=3

Mathematics
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if x varies inversely as y^2 and x=3 when y=6 find x when y=3

Sep 13th, 2015

Thank you for the opportunity to help you with your question!

According to given question

If x varies inversely as y^2,we write that relation as

x=k/y^2

by putting values

3=k/6^2

k=3*36

k=108

Now rewrite the relation ,using this k and the new data to find X

x=108/9

x=12

Answer





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Sep 13th, 2015

thanks a lot ! i need help in one more question 

The weight of a liquid varies directly as its volume V. If the weight of the liquid is in a cubical container 4cm on a side is 128g, find the weight of the liquid in a cubical container 3cm on a side.

Sep 13th, 2015

According to given question

The mass of the liquid varies as the volume V

m=kv

By putting values

128=k*4*3

128=k*64

k=2

Equation

m=2V

so by finding mass of the liquid

m=2*3^3

m=54g

Answer

Sep 13th, 2015

can you got it

Sep 13th, 2015

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