Question

Find the distance between (4,6) and (-2, -2)

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

Step-by-step explanation:

Step 1: Define

Point (4, 6)

Point (-2, -2)

Step 2: Find distance d

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

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

Answer 2

The distance will be 10!