Question

Find the distance between the two points in simplest radical form. (8, -3) (6, -8)

Answer 1

Answer:

$d = \sqrt{29}$

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra II

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

Step-by-step explanation:

Step 1: Define

Point (8, -3)

Point (6, -8)

Step 2: Find distance d

1. Substitute:                    $d = \sqrt{(6-8)^2+(-8+3)^2}$
2. Subtract/Add:               $d = \sqrt{(-2)^2+(-5)^2}$
3. Exponents:                   $d = \sqrt{4+25}$
4. Add:                              $d = \sqrt{29}$