Question

Find the distance between (3,8) and (7,-11) round to the nearest hundredth

Answer 1

Answer:

$d \approx 19.42$

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 (3, 8)

Point (7, -11)

Step 2: Find distance d

1. Substitute:                    $d = \sqrt{(7-3)^2+(-11-8)^2}$
2. Subtract:                       $d = \sqrt{(4)^2+(-19)^2}$
3. Exponents:                   $d = \sqrt{16+361}$
4. Add:                              $d = \sqrt{377}$
5. Evaluate:                      $d = 19.4165$
6. Round:                          $d \approx 19.42$