Explain why the following statements are equivalent: x + (y + 9) = (x + y) + 9

There are no like terms hence they stay the same

Step-by-step explanation:

x + (y + 9)

There are no like terms

=x+y+9

(x + y) + 9

There are no like terms

=x+y+9

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:

24 units

step-by-step explanation: