Question

Find the distance between the two points rounding to the nearest tenth (if necessary).

Answer 1

Answer:

$\displaystyle d = 10$

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 II

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

Explanation:

Step 1: Define

Point (-4, 2)

Point (2, -6)

Step 2: Find distance d

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

1. Substitute [DF]:                              $\displaystyle d = \sqrt{(2+4)^2+(-6-2)^2}$
2. (Parenthesis) Add/Subtract:          $\displaystyle d = \sqrt{(6)^2+(-8)^2}$
3. [√Radical] Exponents:                   $\displaystyle d = \sqrt{36+64}$
4. [√Radical] Add:                              $\displaystyle d = \sqrt{100}$
5. [√Radical] Evaluate:                      $\displaystyle d = 10$