Suppose r varies directly as the square of m, and inversely as s. if r equals 11 when m equals 6 and s equals 4, find r when m equals 12 and s equals 4.

Step-by-step explanation:

The combine variation equation will have the folllowing form:

Where "k" is the constantn of variation.

You know that "r" varies directly as the square of "m", and inversely as "s". Then the equation is:

Knowing that when and , you can substitute values into the equation and solve for "k" in order to find its value:

Now, to find the value of "r" when and , you need tot substitute these values and the the constant of variation into   and then evaluate: