Question

Find the distance between (-6, -5) and (2,0)

Answer 1

Answer:

$\displaystyle d = \sqrt{89}$

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

Step-by-step explanation:

Step 1: Define

Point (-6, -5)

Point (2, 0)

Step 2: Find distance d

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

1. Substitute [DF]:                    $\displaystyle d = \sqrt{(2+6)^2+(0+5)^2}$
2. Add:                                      $\displaystyle d = \sqrt{(8)^2+(5)^2}$
3. Exponents:                           $\displaystyle d = \sqrt{64+25}$
4. Add:                                      $\displaystyle d = \sqrt{89}$