Answer:
[tex]d \approx 8.2[/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 F (2, 7)
Point G (4, -1)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
- Substitute [DF]: [tex]d = \sqrt{(4-2)^2+(-1-7)^2}[/tex]
- Subtract: [tex]d = \sqrt{(2)^2+(-8)^2}[/tex]
- Exponents: [tex]d = \sqrt{4+64}[/tex]
- Add: [tex]d = \sqrt{68}[/tex]
- Simplify: [tex]d = 2\sqrt{17}[/tex]
- Evaluate: [tex]d = 8.24621[/tex]
- Round: [tex]d \approx 8.2[/tex]
