Question

A coordinate plane.

Which expression could help you find the distance between (10, 4) and (–6, 4)?

Answer 1

`\displaystyle d = 16`

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 (10, 4)

Point (-6, 4)

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 = √((-6-10)^2+(4-4)^2)`
2. [√Radical] (Parenthesis) Subtract:
   `\displaystyle d = √((-16)^2+(0)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(256)`
4. [√Radical] Evaluate:
   `\displaystyle d = 16`