Question

Use the distance formula to find the distance between the points (-4,-4) and (4, 4).

Answer 1

Answer:

$\displaystyle d = 8\sqrt{2}$

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: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Point (-4, -4)

Point (4, 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]:                                                         $\displaystyle d = \sqrt{(4+4)^2+(4+4)^2}$
2. [Distance] [√Radical] (Parenthesis) Add:                                                         $\displaystyle d = \sqrt{(8)^2+(8)^2}$
3. [Distance] [√Radical] Evaluate exponents:                                                     $\displaystyle d = \sqrt{64+64}$
4. [Distance] [√Radical] Add:                                                                               $\displaystyle d = \sqrt{128}$
5. [Distance] [√Radical] Simplify:                                                                        $\displaystyle d = 8\sqrt{2}$