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]