Question

Find the distance, to the nearest hundredth, between p1 (-3,-2) and p2 (9,3)

Answer 1

`d = 13`

General Formulas and Concepts:

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

Explanation:

Step 1: Define

P1 (-3, -2)

P2 (9, 3)

Step 2: Find distance d

1. Substitute:
   `d = √((9-(-3))^2+(3-(-2))^2)`
2. Simplify:
   `d = √((9+3)^2+(3+2)^2)`
3. Add:
   `d = √((12)^2+(5)^2)`
4. Evaluate:
   `d = √(144+25)`
5. Add:
   `d = √(169)`
6. Evaluate:
   `d = 13`