Answer:
4
Step-by-step explanation:
The general equation of a circle with center (a, b) and radius r is given by the equation;

The constant in the right hand side of the equation is simply the square of the radius;
We have been given the following equation;
(x-3)^2 + (y+1)^2 = 16
Comparing this with the general equation above;

Answer:
(-6,-4)
Step-by-step explanation:
So there actually is really easy way to solve this problem(that many people will never teach you for some weird reason).
Find difference between two points first in x and y direction.
X difference = (-3 - (-8)) = 5
Y difference = (-1 - (-6)) = 5
Multiply 2/5 to each difference
X difference 5 * 2/5 = 2
y difference 5* 2/5 = 2
just add the two number to First point(point A)
-8 + 2 = -6
-6 + 2 = -4
(-6,-4)
In order to fully understand the problem, it is best to sketch it. Sketching the system, we will see that the system forms a triangle where the angle of elevation is 36 degrees. We are asked to find the hypotenuse. We can use a trigonometric function. It should be noted that one of the sides should also be given in order to calculate the hypotenuse. Trigonometric functions that can be used are:
sin(theta) = opposite / hypotenuse
cos(theta) = adjacent / hypotenuse