Question

Make r the subject - picture underneath

Answer 1

Answer:

The answer is r = 6a / (5m² - 1).

Step-by-step explanation:

The steps are :

$m = \sqrt{ \frac{6a + r}{5r} }$

${m}^{2} = \frac{6a + r}{5r}$

$5r {m}^{2} = 6a + r$

$5r {m}^{2} - r = 6a$

$r(5 {m}^{2} - 1) = 6a$

$r = \frac{6a}{5 {m}^{2} - 1 }$

Answer 2

Answer:

r = $\frac{6a}{5m^2-1}$

Step-by-step explanation:

Given

m = $\sqrt{\frac{6a+r}{5r} }$ ( square both sides )

m² = $\frac{6a+r}{5r}$ ( multiply both sides by 5r )

5rm² = 6a + r ( subtract r from both sides )

5rm² - r = 6a ← factor out r from each term on the left side

r(5m² - 1) = 6a ← divide both sides by (5m² - 1)

r = $\frac{6a}{5m^2-1}$