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make r the subject of this formula t=2r/r-1

Sagot :

[tex]t= \dfrac{2r}{r-1}\\\\\implies tr-t= 2r\\\\\implies tr -2r = t\\\\\implies r(t-2) = t\\\\\implies r = \dfrac{t}{t-2}[/tex]

Hey there!

[tex] \rightarrow \sf{t= \frac{2r}{r} -1}[/tex]

[tex] \rightarrow \sf{ r \times t = \frac{2r}{r} - 1 \times r}[/tex]

[tex] \rightarrow \sf{rt = 2r - 1}[/tex]

[tex] \rightarrow \sf{ \frac{rt}{2 - 1} = \frac{2r - 1}{2 - 1} }[/tex]

R = RT/2-1