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WARRIOR [948]
3 years ago
15

Solve the following for the specified variable Z=s/2(P+p); for P

Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0

Answer:

\boxed{\sf P = \frac{2Z}{s} - p}

Step-by-step explanation:

\sf Solve \ for \ P: \\ \sf \implies  Z = \frac{s}{2} (P + p) \\ \\ \sf Z = \frac{s}{2} (P + p) \ is \ equivalent \ to \ \frac{s}{2} (P + p) = Z: \\ \sf \implies \frac{s}{2} (P + p) = Z \\ \\  \sf Divide \ both \ sides \ by \ \frac{s}{2} : \\ \sf \implies P + p = \frac{2Z}{s} \\ \\ \sf Substrate \ p \ from \ both \ sides: \\ \sf \implies P = \frac{2Z}{s} - p

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