Question

Find the distance/length of segment AB is A(2.125) and B(98, 15)

Answer 1

146

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

• Coordinates (x, y)

Algebra II

• Distance Formula:
  `\displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)`

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

1. Substitute in coordinates [Distance Formula]:
   `\displaystyle d = √((98-2)^2+(15-125)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((96)^2+(-110)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(9216+12100)`
4. [√Radical] Add:
   `\displaystyle d = √(21316)`
5. [√Radical] Evaluate:
   `\displaystyle d = 146`