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Anvisha [2.4K]
2 years ago
7

It is given that y is inversely proportional to the square of x and that y=48 when x=

B1%7D%7B2%7D" id="TexFormula1" title="\frac{1}{2}" alt="\frac{1}{2}" align="absmiddle" class="latex-formula">.
Find;
(a), the formula for y in terms of x,
(b), the values of x when y=3.
Mathematics
1 answer:
Anna [14]2 years ago
5 0

Answer:

a. y = 12\times \frac{1}{x^2} \\b. x = 2 , when \ y =3

Step-by-step explanation:

y \ is\ inversely  \ proportional \  to \  square \  of \  x \ means , y \  \alpha \ \frac{1}{x^2}

Therefore, y = k \times \frac{1}{x^2}

Given y = 48, x = 1/2. We will find k.

                 y = k \times \frac{1}{x^2}\\\\48 = k \times \frac{1}{\frac{1}{4}}}\\\\k = 48 \times \frac{1}{4} =12

Find x.

y = k \times \frac{1}{x^2} \\\\3 = 12 \times \frac{1}{x^2}\\\\\frac{3}{12} =  \frac{1}{x^2}\\\\x^2 = \frac{12}{3}\\\\x^2 = 4 \\\\x = 2

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***************** DOUBLE-CHECK ****************

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