Answer:
[tex]M^{2}=3.2[/tex]
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form [tex]y*x=k[/tex] or [tex]y=k/x[/tex]
In this problem we have
[tex]P*M^{2}=k[/tex]
step 1
Find the value of k
For P=8, M=2
substitute
[tex]k=(8)(2)^{2}=32[/tex]
The equation is equal to
[tex]P*M^{2}=32[/tex]
step 2
Find the value of M²
when P=10
substitute the value of P in the equation
[tex]10*M^{2}=32[/tex]
[tex]M^{2}=3.2[/tex]
