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

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 = √((x_2-x_1)^2+(y_2-y_1)^2)`

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 = √((11+2)^2+(2-8)^2)`
2. Add/Subtract:
   `d = √((13)^2+(-6)^2)`
3. Exponents:
   `d = √(169+36)`
4. Add:
   `d = √(205)`
5. Evaluate:
   `d = 14.3178`
6. Round:
   `d \approx 14.32`