Anyone know how to solve this?

x =

Step-by-step explanation:

This is using the altitude on hypotenuse theorem

(leg of big Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

x² = 6 × (6 + 5) = 6 × 11 = 66 ( take square root of both sides )

x =

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: