Calculate BC
Round to the nearest tenth.

BC = 11,5 (to the nearest tenth)

Step-by-step explanation:

BC^2 = AC^2 + AB^2

BC^2 = 13^2 + 6^2

BC^2 = 169 - 36

BC^2 = 133

BC = 11,5 (to the nearest tenth)

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:

answer: the answer is   graph (a)