Question

Find the distance between the points given.
(-3, 2) and (9, -3)
V61
V37
13

Answer 1

13 units

Explanation:

Hope it helps.

Answer 2

`\displaystyle d = 13`

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

Explanation:

Step 1: Define

Point (-3, 2)

Point (9, -3)

Step 2: Find distance d

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

1. Substitute [DF]:
   `\displaystyle d = √((9+3)^2+(-3-2)^2)`
2. (Parenthesis) Add/Subtract:
   `\displaystyle d = √((12)^2+(-5)^2)`
3. [√Radical] Exponents:
   `\displaystyle d = √(144+25)`
4. [√Radical] Add:
   `\displaystyle d = √(169)`
5. [√Radical] Evaluate:
   `\displaystyle d = 13`