11. REINFORCE In the circle below, the distance CN equals 3x - 10 and the distance CK equals x2 - 20. Find the distance CP.

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

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step-by-step explanation: