Question

Compute the distance between the two points. (5, –2) and (–8, –3)

Answer 1

This is the answer V~170=13.03840

Answer 2

Answer:

$d = \sqrt{170}$

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

Point (5, -2)

Point (-8, -3)

Step 2: Find distance d

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

1. Substitute [DF]:                    $d = \sqrt{(-8-5)^2+(-3+2)^2}$
2. Subtract/Add:                      $d = \sqrt{(-13)^2+(-1)^2}$
3. Exponents:                           $d = \sqrt{169+1}$
4. Add:                                     $d = \sqrt{170}$