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  • 23-01-2022
  • Mathematics
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W=2PR/R-r; solve for P

W2PRRr solve for P class=

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blackshades
blackshades blackshades
  • 23-01-2022

Answer:

[tex]\boxed{ \sf\:P=\frac{W\left(R-r\right)}{2R}} [/tex]

Step-by-step explanation:

[tex]\sf\:W = \frac { 2 P R } { R - r }[/tex]

[tex]\sf\:W\left(-r+R\right)=2PR [/tex]

[tex]\sf\:-Wr+WR=2PR [/tex]

[tex]\sf\:2PR=-Wr+WR [/tex]

[tex]\sf\:2RP=RW-rW [/tex]

[tex]\sf\frac{2RP}{2R}=\frac{W\left(R-r\right)}{2R}[/tex]

[tex]\boxed{ \sf\:P=\frac{W\left(R-r\right)}{2R}} [/tex]

Hope it helps ⚜

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