Find the distance between C (-1,7) and D (-8,-3). Please provide a thorough explanation, thank you!

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula:

We have the two points (-1, 7) and (-8, -3).

Let (-1, 7) be (x₁, y₁) and let (-8, -3) be (x₂, y₂). Substitute:

Evaluate:

Evaluate:

Square:

Add:

This cannot be simplified. Hence, the distance between (-1, 7) and (-8, -3) is √(149) or approximately 12.21 units.

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2

answer: you need to organize this better it does not make sense.

step-by-step explanation: ?