make v the subject of the formula S = \(\sqrt{\frac{6}{v} - \frac{w}{2}}\)
A
v = \(\frac{12}{2s^2}\)
B
v = \(\frac{12}{2s+ w}\)
C
v = \(\frac{12}{2s^2 + w}\)
D
v = \(\frac{12}{2s^2}\) + w
Verified Correct Answer: C.
Step-by-Step Mathematical Solution
S = \(\sqrt{\frac{6}{v} - \frac{w}{2}}\)
S = \(\frac{12 - vw}{2v}\)
2vs\(^2\) = 12 - vw
v(2s\(^2\) + w) = 12
v = \(\frac{12}{2s^2 + w}\)
Source: Myschool Past Questions Archive (Record #32114)