According to my calculations, after 200 miles, the prices will be equal.
Answer:
a)
b) (a,b) (c, d) As long as (a,b) and (c,d) are the endpoints of of the diameter.
Step-by-step explanation:
a)
1) The reduced formula of the Circumference is given by:

2) Let's expand the factored one into one closer to the pattern above:

3) Completing the square for both trinomials:

4) In the Reduced Formula,
,

b) Using the previous example to show this:
When we factor this way

We are indeed, naming "a" and "b", the coordinates of (a, b) of the first endpoint and "b" and "d" the second endpoint as well.Id est, D (2, 5) and B (6,-11).
The radius, is 
So yes, the equation of the circle can be written as

As long as (a,b) and (c,d) are the endpoints of of the diameter.

Answer:
90, 86, 92, 89
Step-by-step explanation:
The mean of her first five quiz scores is found by adding the scores together and dividing by 5:
(84+72+90+95+87)/5 = 428/5 = 85.6
Any value higher than this mean for the sixth quiz score will raise the overall mean; any value below this mean for the sixth quiz score will lower the overall mean. This means the values that could increase her mean are 90, 86, 92 and 89.
24/20 is simplified to 1 and 1/5