Answer:
5 units
Step-by-step explanation:
Here, we want to find the distance CP
the distance from the center of the circle to the circumference is referred to as radius.
Hence CP is the radius of the circle
Also CN is another radius and also CK is another radius
Thus, mathematically; CN = CK
This means that;
x^2 -20 = 3x -10
x^2 -20 -3x + 10 = 0
x^2 -3x -10 = 0
x^2 -5x + 2x -10 = 0
x(x-5) + 2(x-5) = 0
(x-5)(x+2) = 0
x = 5 or -2
To get CP , we can substitute for x in any of the given expressions
Let’s use 3x-10
Using x = 5
3(5) -10 = 15-10 = 5
Using x = -2
3(-2) -10 = -6-10 = -16
But since length cannot be negative , 5 units is our answer
