D2+3a+6+a=?
I got confused and I need some help here. . .

I assume that the "d2" was a typo as a problem such as this with 2 variables would require a system of equations.

I also assume that the ? is a typo and will replace it with 0, however you can repeat my steps with whatever it actually it.

I assume that the correct form is 2 + 3a + 6 + a = 0

2 + 3a + 6 + a = 0

Combine like terms

8 + 3a + a = 0

8 + 4a = 0

move 8 to other side

4a = -8

a= -8/4

a = -2*

plug this value of a into the original equation

2 + 3(-2) + 6 + (-2) = 0

The statement is true!

* This probably isn't your answer!  Repeat my steps with whatever the value of "?" is.

  b.   the average rate of change of f(x) is less than the average rate of change of g(x).

step-by-step explanation:

since the length of the interval is the same in each case, we only need to compare the change in y-value to see which is greater.

so the change in y-value for function f is (6 )) = 9.

the table tells us

so the change in y-value for function g is (31 -1) = 30.

the change in y-value of f(x) on the interval is less than the change in y-value of g(x) on the same interval, so the average rate of change of f(x) is less than the average rate of change of g(x).

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3