Question

What is the distance between the points (21 , 13) and (3 , 13) in the coordinate plane?

Answer 1

`\displaystyle d = 18`

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 (21, 13)

Point (3, 13)

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 = √((3-21)^2+(13-13)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((-18)^2+(0)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(324+0)`
4. [√Radical] Add:
   `\displaystyle d = √(324)`
5. [√Radical] Evaluate:
   `\displaystyle d = 18`