Question

What is distance between C(−5,−2) and D(0,−4)

Answer 1

D=/29 that is your answer

Answer 2

`\displaystyle d = √(29)`

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

• Coordinates (x, y)

Algebra II

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

Explanation:

Step 1: Define

Point C(-5, -2)

Point D(0, -4)

Step 2: Find distance d

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

1. Substitute in points [Distance Formula]:
   `\displaystyle d = √((0+5)^2+(-4+2)^2)`
2. [√Radical] (Parenthesis) Add:
   `\displaystyle d = √((5)^2+(-2)^2)`
3. [√Radical] Evaluate exponents:
   `\displaystyle d = √(25+4)`
4. [√Radical] Add:
   `\displaystyle d = √(29)`