Please help with this right triangle problem

Given:

The figure of a right angle triangle.

To find:

The measure of side AB.

Solution:

In a right angle triangle,

In the given triangle,

On further simplification, we get

Therefore, the measure of AB is 7.45 units.

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below: