bri11011 bri11011
  • 26-03-2020
  • Mathematics
contestada

M is inversely proportional to r if m= 9 when r= 4 find m when r=2

Respuesta :

lavanyaande
lavanyaande lavanyaande
  • 26-03-2020

m=18 when r = 2.

Step-by-step explanation:

Given,

m∝[tex]\frac{1}{r}[/tex]

So,

m = k×[tex]\frac{1}{r}[/tex],--------eq 1, here k is the constant.

To find the value of m when r = 2

At first we need to find the value of k

Solution

Now,

Putting the values of m=9 and r = 4 in eq 1 we get,

9 = [tex]\frac{k}{4}[/tex]

or, k = 36

So, eq 1 can be written as m= [tex]\frac{36}{r}[/tex]

Now, we put r =2

m = [tex]\frac{36}{2}[/tex]

or, m= 18

Hence,

m=18 when r = 2.

Answer Link

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