Question

Find the distance between the two points S (-5,-2) and T (-3,4).

Answer 1

`d =2 √(10)`

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra II

• Distance Formula:
  `d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

S (-5, -2)

T (-3, 4)

Step 2: Find distance d

1. Substitute:
   `d = √((-3+5)^2+(4+2)^2)`
2. Add:
   `d = √((2)^2+(6)^2)`
3. Evaluate:
   `d = √(4+36)`
4. Add:
   `d = √(40)`
5. Simplify:
   `d =2 √(10)`