PLEASE HELP! THIS IS A BIG PART OF MY GRADE AND IS DUE RLLY SOON. I DONT WANNA FAIL, I WILL GIVE BRAINLIEST.

8931

Step-by-step explanation:

                     1 1 1

21 x 18 x 13 = 4914

16 x (18x13) = 3744

        13 x 21 = 273

                      8931

Hope this helps  :|

(I am not 100% Sure, you should double check)

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:

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4