We have two points describing the diameter of a circumference, these are:

Recall that the equation for the standard form of a circle is:

Where (h,k) is the coordinate of the center of the circle, to find this coordinate, we find the midpoint of the diameter, that is, the midpoint between points A and B.
For this we use the following equation:

Now, we replace and solve:

The center of the circle is (-8,-7), so:

On the other hand, we must find the radius of the circle, remember that the radius of a circle goes from the center of the circumference to a point on its arc, for this we use the following equation:

In this case, we will solve the delta with the center coordinate and the B coordinate.

Therefore, the equation for the standard form of a circle is:

In conclusion, the equation is the following:
Answer:
Step-by-step explanation:
4/5
1/2
I think you might be referring to the definite integral,

Recall the definition of absolute value:

Then
if
, and
is
. So spliting up the integral at <em>x</em> = 1, we have

The rest is simple:

Answer:
It is quantitative because they are looking at the weights which are numbers.
That would be 7 because it is placed in front of the y