Answer:
146
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Algebra I
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 A(2, 125)
Point B(98, 15)
Step 2: Identify
A(2, 125) → x₁ = 2, y₁ = 125
B(98, 15) → x₂ = 98, y₂ = 15
Step 3: Find distance d
- Substitute in coordinates [Distance Formula]: [tex]\displaystyle d = \sqrt{(98-2)^2+(15-125)^2}[/tex]
- [√Radical] (Parenthesis) Subtract: [tex]\displaystyle d = \sqrt{(96)^2+(-110)^2}[/tex]
- [√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{9216+12100}[/tex]
- [√Radical] Add: [tex]\displaystyle d = \sqrt{21316}[/tex]
- [√Radical] Evaluate: [tex]\displaystyle d = 146[/tex]