Answer:
[tex]d \approx 10.2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra II
- Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
Step 1: Define
Point A (3, -8)
Point B (1, 2)
Step 2: Find distance d
- Substitute [DF]: [tex]d = \sqrt{(1-3)^2+(2+8)^2}[/tex]
- Subtract/Add: [tex]d = \sqrt{(-2)^2+(10)^2}[/tex]
- Exponent: [tex]d = \sqrt{4+100}[/tex]
- Add: [tex]d = \sqrt{104}[/tex]
- Simplify: [tex]d = 2\sqrt{26}[/tex]
- Evaluate: [tex]d = 10.198[/tex]
- Round: [tex]d \approx 10.2[/tex]
