Question

What is the distance between tow points(-1,4)(3,2)

Answer 1

2√5

Explanation:

Distance = √(x1-x2)² + (y1-y2)²

Distance = √(-1-3)² + (4-2)²

Distance = 2√5

Answer 2

`\displaystyle d = 2√(5)`

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

Identify

Point (-1, 4)

Point (3, 2)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

1. Substitute in points [Distance Formula]:
   `\displaystyle d = √((3--1)^2+(2-4)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((4)^2+(-2)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(16+4)`
4. [√Radical] Add:
   `\displaystyle d = √(20)`
5. [√Radical] Simplify:
   `\displaystyle d = 2√(5)`