Write an expression for the area of each shape provided. Make sure it’s in simplest polynomial form

Step-by-step explanation:

area of a trapezoid: a= a+b/2 H

so...

5x+7+x+3/2=6x+10/2=3x+5

then take 3x+5 and multiply it by 2x-1

soo... (3x+5)(2x-1) and I used FOIL

so then 6x^2-3x+10x-5

which is equal to 6x^2+7x-5

I hope this helps =)

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: