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Rufina [12.5K]
3 years ago
7

y is inversely proportional to x^2, and y = 540 for a particular value of x. Find the value of y when this value of x is tripled

.
Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Step-by-step explanation:

y =  \frac{1}{ 3{x}^{2} }  \\ y = 540 \\ 540 =  \frac{1}{3 {x}^{2} }  \\ 3 {x}^{2}(540) = 1 \\ 3 {x}^{2}   = \frac{1}{540}  \\  {x}^{2}  =  \frac{1}{540}  \div 3 \\  {x}^{2}  =  \frac{1}{540}  \times  \frac{1}{3}  \\  {x}^{2}  =  \frac{1}{1620}  \\ x =  \sqrt{ \frac{1}{1620 } }  \\ x = 0.024845

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