justin1158
justin1158 justin1158
  • 01-09-2020
  • Mathematics
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Help me solve this Thanks

Help me solve this Thanks class=

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Hrishii
Hrishii Hrishii
  • 01-09-2020

Answer:

B. p varies inversely as r

Step-by-step explanation:

Since, p varies directly as q

[tex] \therefore p\:\:\alpha \:\:q\\

\therefore p= kq.. (k = constant)... (1)\\

[/tex]

Since, q varies inversely as r

[tex] \therefore q\:\:\alpha \:\:\frac{1}{r} \\

\therefore q= \frac{k}{r} .. (k = constant)... (2)\\

[/tex]

From equations (1) & (2)

[tex] p = k\times \frac{k}{r}\\

p = \frac{k^2}{r}\\

p\:\:\alpha \:\: \frac{1}{r}\\

[/tex]

Hence, p varies inversely as r.

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