Question

What is the distance between point A and point B? Round to nearest tenth.

Answer 1

`d \approx 12.6`

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra II

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

Explanation:

Step 1: Define

Find points from graph.

Point A (-4, 2)

Point B (8, 6)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

1. Substitute [DF]:
   `d = √((8+4)^2+(6-2)^2)`
2. Add/Subtract:
   `d = √((12)^2+(4)^2)`
3. Exponents:
   `d = √(144+16)`
4. Add:
   `d = √(160)`
5. Simplify:
   `d = 4√(10)`
6. Evaluate:
   `d = 12.6491`
7. Round:
   `d \approx 12.6`