Answer:
9
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
- Reading a Cartesian plane
- Coordinates (x, y)
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
The scale of the graph is 1.
Point A → (4, 3)
Point E → (-5, 3)
Step 2: Find distance d
- Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-5-4)^2+(3-3)^2}[/tex]
- [√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(-9)^2+(0)^2}[/tex]
- [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{81 + 0}[/tex]
- [√Radical] Simplify: [tex]\displaystyle d = \sqrt{81}[/tex]
- [√Radical] Evaluate: [tex]\displaystyle d = 9[/tex]