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Make t the subject of k = \(m \sqrt \frac{t-p}{r}\)

Mathematics
WAEC 2022

Make t the subject of k = \(m \sqrt \frac{t-p}{r}\)

  • A. \(\frac{k^2r + p}{m^2}\)
  • B. \(\frac{k^2r + pm^2}{m^2}\)
  • C. \(\frac{k^2r - p}{m^2}\)
  • D. \(\frac{k^2r + p^2}{m^2}\)
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Correct Answer: Option B
Explanation

square both sides to remove the square root

k\(^2\) = m\(^2\) \(\frac{t-p}{r}\)

\(\frac{k^2r}{m^2}\) = t - p

t = \(\frac{k^2r}{m^2}\) + p

t = \(\frac{k^2r + pm^2}{m^2}\) 


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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts