Question

What is the distance between the points (6,2) and (1,-5)


PLEASE ANSWER QUICK

Answer 1

`\displaystyle d = √(74)`

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 (6, 2) → x₁ = 6, y₁ = 2

Point (1, -5) → x₂ = 1, y₂ = -5

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 = √((1-6)^2+(-5-2)^2)`
2. [Distance] [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((-5)^2+(-7)^2)`
3. [Distance] [√Radical] Evaluate exponents:
   `\displaystyle d = √(25+49)`
4. [Distance] [√Radical] Add:
   `\displaystyle d = √(74)`