Question

Given the points A(3, -8) and B(1, 2), what is the approximate length of AB?

O 10.2
O 6.3
O 10.8
O 7.2
O 12.2

Answer 1

10.2

Explanation:

Answer 2

`d \approx 10.2`

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

Point A (3, -8)

Point B (1, 2)

Step 2: Find distance d

1. Substitute [DF]:
   `d = √((1-3)^2+(2+8)^2)`
2. Subtract/Add:
   `d = √((-2)^2+(10)^2)`
3. Exponent:
   `d = √(4+100)`
4. Add:
   `d = √(104)`
5. Simplify:
   `d = 2√(26)`
6. Evaluate:
   `d = 10.198`
7. Round:
   `d \approx 10.2`