Answer: I think that it's not One but It's <u><em>ZERO</em></u> because a tangent line can only touch the circle at one point and if it touches the small circle once it would have to go through the larger one twice.
Edit: I just checked and it's definitely<u><em> ZERO</em></u>
K is equal to 4 because g(x) is a parrallel line to f(x)
That is the Identity Property of Addition.
If it is adding and the whole number stays the same it is Identity Property of Addition.
If it is multiplying then it would be the Identity Property of Multipulcation. For example for this problem it would be 6x1 in multipulcation in which the whole number would stay the same.
Here are descriptions of all the properties:
https://wikis.engrade.com/mathproperties1
First, determine the center of the circle by getting the midpoint of the points given for the circumference.
midpoint = ((0 + 0)/2, (3 + -4)/2)
midpoint (0, -0.5)
Then, we get the radius by determining the distance from either of the circumferential point to the center.
radius = √(0 - 0)² + (3 +4)² = 7
The equation for the circle would be,
x² + (y + 0.5)² = 7²