Answer:
[tex]\displaystyle d = 10[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra II
- Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Step-by-step explanation:
Step 1: Define
Point (4, 6)
Point (-2, -2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
- Substitute [DF]: [tex]\displaystyle d = \sqrt{(-2-4)^2+(-2-6)^2}[/tex]
- Subtract: [tex]\displaystyle d = \sqrt{(-6)^2+(-8)^2}[/tex]
- Exponents: [tex]\displaystyle d = \sqrt{36+64}[/tex]
- Add: [tex]\displaystyle d = \sqrt{100}[/tex]
- Evaluate: [tex]\displaystyle d = 10[/tex]
