Noreen can walk 1/3 of a mile in 12 minutes what is her average speed in miles per hour. (this is multiple choice) A. 36 miles per hour
B. 12 miles per hour
C. 1/4 a mile per hour
D. 1 2/3 miles and hour
ANSWER FAST PLASE

The answer is D.
Divided 60 by 12, then multiply that by 1/3 to find your answer.

If you need just the answer, it's in bold at the bottom. Otherwise, the process for how I got there is below. 

In order to find the equation, we first find the midpoint. This will give us the center of the two endpoints. Then, we do the distance formula to find how many units there are between the endpoints and cut it in half to find the radius. After, we plug in the new information into the equation format of the circle. 

Midpoint = 

So plug in the ordered pairs given to get: 

Midpoint = 
Midpoint = 
Midpoint = (1, - 3)

This is your center.

Now for the distance between the endpoints. 

Distance = √((X₂ - X₁)² + (Y₂ - Y₁)²)
Distance = √((-4 - 6)² + (-4 - (-2))²)
Distance = √((- 10)² + (- 2)²)
Distance = √(100 + 4)
Distance = √104 which simplifies to 2√26

So the distance between the two endpoints (the diameter) is 2√26 units long. We divide this by 2 and get the measurement of the radius. The radius is √26 units long. 

Now we plug in to the equation of a circle:

(x - h)² + (y - k)² = r² 

The center of the circle is represented by the ordered pair (h, k) and the radius is represented by r. 

So your equation becomes:
(x - 1)² + (y + 3)² = (√26)²

Which simplifies to your final

(x - 1)² + (y + 3)² = 26