Answer:
0.5
Step-by-step explanation:
The given ordered pairs are: (1,2) (2,2.5) (3,3) (4,3.5) (5,4)
The corresponding sequence is :
2,2.5,3,3.5, 4,....
We can see that there is a common difference of d=0.5.
Better still we could use the slope formula:

We substitute the point (1,2) and (2,2.5).
The rate of change of this sequence is:

X = -2 and -5
You can set both equal to 0 to find the answers.
(-7,8)
Simplifying 2(x+7)^2+8
Will give you the image results
You must graph the formula and you’ll get -7,8 (using desmos helps)
Given a slope
, the slope
of a line perpendicular to
is the opposite of the inverse of 
In other words:

So, the slope of CD is -5/2.
Answer:
Step-by-step explanation:
For this exercise it is important to remember the multiplication of signs:

In this case, given the following expression:

You can idenfity that both factors are negative. Then, the product (The result of the multiplication) will be positive.
Then, in order to get the product, you need to multiply the numerator of the fraction by -8. So, you get:

You can notice that the numerator and the denominator of the fraction obtained cannot be divided by the same number; therefore, the fraction cannot be simplified.