Answer:
Problem 1: 
Problem 2: 
Problem 3: 
Step-by-step explanation:
Problem 1:
So we are going to use the following to help us:



So if we make those substitution into the first equation we get:



Factor the
out:

The following is a Pythagorean Identity:
.
We will apply this identity now:

This implies:

We don't need both because both of include points with radius 4.
Problem 2:



Factoring out
from first two terms:

Apply the Pythagorean Identity I mentioned above from problem 1:


or if we factor out r:


r=0 is actually included in the other equation since when theta=0, r=0.
Problem 3:


Answer:
Rate = 4.5
Step-by-step explanation:
It is given that,
A cookie recipe calls for 1/3 of a cup of sugar and 1 1/2 cups of flour.
We need to find the unit rate of flour to sugar for the cookie recipe. It can be calculated as follows :

So, the unit rate of flour to sugar for the cookie recipe is 4.5
Answer:
I think the answer is 12.5
This statement may not be true because if 3 more people voted for pop, then that's 3 less votes for the other choices, and 1 or maybe 2 of those votes may have come from water, meaning pop would then be the most popular.
Answer:
the error is that you have passed the negative sign alongside with the 0.8 but you have corrected by putting the -0.8 in the parentheses. if you used a computer check your answer something that could have messed up was the negative sign on the right side of the r in the part where It says r=12.6+(-0.8)