Answer:
P = 8
Step-by-step explanation:
We know that:

is an equation of a circle.
When we substitute x and y (from the pairs we have), we'll get a system of equations:

and all we have to do is solve it for a, b and r.
There will be:

From equations (II) and (III) we have:

and from (I) and (II):

Now we can easly calculate a and b:

Finally we calculate

:

And the equation of the circle is:
I know these are all the factors of 12
1,2,3,4,6,12
Answer:
40320 ways
Step-by-step explanation:
Given
Members = 8
Required
Number of ways they can be selected
Since, the order does not matter;
They can be selected in 8! ways


<em>Hence, there are 40320 ways which the director can select them for the concert</em>
Answer:
The vertex is the minimum.
Step-by-step explanation:
the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.