If p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), express q in terms of p and r...
MATHEMATICS
WAEC 2008
If p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), express q in terms of p and r
- A. \(\frac{9}{25} pr^2\)
- B. \(\frac{9}{25} p^2r\)
- C. \(\frac{25}{9} p^2r\)
- D. \(\frac{25}{9} pr^2\)
Correct Answer: C. \(\frac{25}{9} p^2r\)
Explanation
p = \(\frac{3}{5} \sqrt{\frac{q}{r}}; \frac{5p}{3} = \sqrt{\frac{q}{r}}\)
= (\(\frac{5}{3}p\))2
= \(\frac{q}{r}\)
= \(\frac{25p^2}{9} = \frac{q}{r}\)
q = \(\frac{25}{9} p^2 r\)
Post an Explanation Or Report an Error
If you see any wrong question or answer, please leave a comment below and we'll take a look. If you doubt why the selected answer is correct or need additional more details? Please drop a comment or Contact us directly. Your email address will not be published. Required fields are marked *