M varies directly as n and inversely as the square of p, and M= 10 when n=8 and p = 2. Find M when n=6 and p = 3.

Step-by-step explanation:

It is given that M varies directly as n and inversely as the square of p. So,

where, k is constant of proportionality.

It is given that M= 10 when n=8 and p = 2.

Substitute M= 10, n=8 and p = 2 in the above equation.

Divide both sides by 2.

The value of k is 5.

So, requied equation is

Now, substitute n=6 and p=3 in the above equation.

Therefore, the required value of M is

b. 18

step-by-step explanation:

so the equation for this is:

ab^2=ac⋅ad

ab being the top length of 6 and ac being the length of 2 and ad being the length of x. let's plug into the equation:

6^2 = 2x

now lets just solve for x:

36 = 2x

18 = x

i hope that !