Question

What is the distance between point A and point B? Round to nearest tenth.

Answer 1

Answer:

$d \approx 12.6$

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

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point A (-4, 2)

Point B (8, 6)

Step 2: Find distance d

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

1. Substitute [DF]:                    $d = \sqrt{(8+4)^2+(6-2)^2}$
2. Add/Subtract:                       $d = \sqrt{(12)^2+(4)^2}$
3. Exponents:                           $d = \sqrt{144+16}$
4. Add:                                      $d = \sqrt{160}$
5. Simplify:                                $d = 4\sqrt{10}$
6. Evaluate:                              $d = 12.6491$
7. Round:                                 $d \approx 12.6$