Question

Find the distance between (-2.8) and (11, 2). Round to the nearest hundredth 14.32 13.58 12.58 13.04 None of the other answers are correct​

Answer 1

Answer:

14.32

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 (-2, 8)

Point (11, 2)

Step 2: Find distance d

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

1. Substitute [DF]:                     $d = \sqrt{(11+2)^2+(2-8)^2}$
2. Add/Subtract:                       $d = \sqrt{(13)^2+(-6)^2}$
3. Exponents:                            $d = \sqrt{169+36}$
4. Add:                                      $d = \sqrt{205}$
5. Evaluate:                               $d = 14.3178$
6. Round:                                  $d \approx 14.32$