Alright, so in PEMDAS, we first do exponents. 3^2=9, and we then have 5(9)-3(3)+2. After that, we have multiplication, where we have 5*9 =45 and 3*3=9, resulting in 45-9+2 and eventually 38
(x1+x2)/2 , (y1+y2)/2 = midpoint
-3+5=2 2/2=1
x=1
4+-8=-4 -4/2=-2
y=-2
Midpoint: (1,-2)
We have that the unit rate is 2 [Option B].
***Explanation***
We have that a proportional relationship is characterized for having the form:
Here a and b are the values that are proportional to one another and k is the constant of proportionality.
In our case we are given:
Here x & y are the proportional values and 2 is the constant of proportionality.
And, from properties of division, we have that:
This is an example of a factor pattern called the Difference of Two Squares.
What is playing the role of A? What do you square to get
? That would be
.
What is playing the role of B? What do you square to get 64? That would be 8.
Your expression factors as
The additive inverse of -5 is 5. It is the same as saying it's opposite. Just change the sign.