Question

Find the distance between b and d

answer choices:
10.6 units
4.7 units
22 units
6.6 units​

Answer 1

Coordinate grids are pretty fun and easy, your answer is gonna be 22 units im pretty sure! Have not done them in a while, so I hope this is correct!

Answer 2

10.6 units

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 I

• Reading a Cartesian Plane
• Coordinates (x, y)

Algebra II

• Distance Formula:
  `\displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Find points from graph.

Point B(-3, -4)

Point D(6, -9)

Step 2: Find distance d

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

1. Substitute in points [DF]:
   `\displaystyle d = √((6+3)^2+(-9+4)^2)`
2. (Parenthesis) Add:
   `\displaystyle d = √((9)^2+(-5)^2)`
3. [√Radical] Exponents:
   `\displaystyle d = √(81+25)`
4. [√Radical] Add:
   `\displaystyle d = √(106)`
5. [√Radical] Evaluate:
   `\displaystyle d = 10.2956`
6. Round:
   `\displaystyle d \approx 10.3`

All the answer choices are wrong. Closest answer is 10.6 units.