Question

What is the answer?!!!

Answer 1

`\displaystyle d = √(72)`

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

Find points from graph.

Point (2, -3)

Point (8, -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 = √((8-2)^2+(-9--3)^2)`
2. (Parenthesis) Simplify:
   `\displaystyle d = √((8-2)^2+(-9+3)^2)`
3. (Parenthesis) Subtract/Add:
   `\displaystyle d = √((6)^2+(-6)^2)`
4. [√Radical] Exponents:
   `\displaystyle d = √(36+36)`
5. [√Radical] Add:
   `\displaystyle d = √(72)`