Question

A marina is in the shape of a coordinate grid. Boat A is docked at (3.1, −1) and Boat B is docked at (−4.1, −1). The boats are ____ units apart. (3 points)

5.1
7.2
8.1
8.2

Answer 1

Answer: 7.2

Explanation:

7.2 is the answer I just did the test got it right

Answer 2

d = 7.2

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

Boat A(3.1, -1)

Boat B(-4.1, -1)

Step 2: Find distance d

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

1. Substitute [DF]:
   `d = √((-4.1-3.1)^2+(-1+1)^2)`
2. Subtract/Add:
   `d = √((-7.2)^2+(0)^2)`
3. Exponents:
   `d = √(51.84)`
4. Evaluate:
   `d = 7.2`