Respuesta :

Answer:

The answer is

[tex]m = \sqrt{ \frac{r + n}{5} } [/tex]

Step-by-step explanation:

[tex]r = 5 {m}^{2} - n[/tex]

To make m the subject send n to the left side of the equation

That's

[tex] {5m}^{2} = r + n[/tex]

Divide both sides by 5

We have

[tex] \frac{ {5m}^{2} }{5} = \frac{r + n}{5} [/tex]

[tex] {m}^{2} = \frac{r + n}{5} [/tex]

Find the square root of both sides to make m stand alone

That's

[tex] \sqrt{ {m}^{2} } = \sqrt{ \frac{r + n}{5} } [/tex]

We have the final answer as

[tex]m = \sqrt{ \frac{r + n}{5} } [/tex]

Hope this helps you

Answer:

Step-by-step explanation:

r = 5m² - n

Add n to both sides

r + n = 5m² - n +n

r + n = 5m²

Divide both sides by 5

(r+n)/5 = 5m²/5

(r + n)/5 = m²

Take square root ,

[tex]\sqrt{\frac{r + n}{5}} =\sqrt{m^{2}} \\\\\sqrt{\frac{r + n}{5}}=m\\\\\\m=\sqrt{\frac{r + n}{5}}[/tex]

ACCESS MORE