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Oksanka [162]
2 years ago
9

Make m the subject of the formula m/v - t/b = m-t/r

Mathematics
1 answer:
RoseWind [281]2 years ago
3 0

Answer:

m =   - \frac{ \frac{t}{b} +  \frac{t}{r}  }{1 -  \frac{1}{v} }

Step-by-step explanation:

\frac{m}{v}  -  \frac{t}{b}  = m -  \frac{t}{r}  \\  \frac{m}{v}  -  \frac{t}{b}  +  \frac{t}{r} = m \\  -  \frac{t}{b}   +  \frac{t}{r}  = m -   \frac{m}{v}  \\  -  \frac{t}{b}  +  \frac{t}{r}  = m(1 -  \frac{1}{v} ) \\    - \frac{t}{b}  +  \frac{t}{r}  =  \frac{m( 1 -  \frac{1}{v})  }{(1 -  \frac{1}{v}) }  \\    - \frac{ \frac{t}{b}  +  \frac{t}{r} }{1 - ( \frac{1}{v} ) }  = m

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