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mihalych1998 [28]
3 years ago
12

Solve for b.

Mathematics
2 answers:
Dvinal [7]3 years ago
8 0
Expression: <span>a = 9b²c

b</span>² = a/9c

b = √(a/9c)

b = √a/3√c
Or b = 1/3 √(a/c)

In short, Your Answer would be: Option D

Hope this helps!
Ipatiy [6.2K]3 years ago
3 0

Answer:

b=\pm\frac{1}{3}\sqrt{\frac{a}{c}}

Step-by-step explanation:

Given expression a=9b^2c

We have to find the value in terms of b

Consider the given expression a=9b^2c

Divide both side by c, we have

\frac{a}{c}=9b^2

Again divide by 9 , we have

\frac{a}{9c}=b^2

Taking square root both side, we have,

\sqrt{\frac{a}{9c}}=\sqrt{b^2}

Simplify , we have,

\sqrt{\frac{a}{9c}}=b

We know \sqrt{9}=\pm 3

Thus, b=\pm\frac{1}{3}\sqrt{\frac{a}{c}}

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