Question

PLEASE HELP ASAP!!!!!!!!! I REALLY NEED IT PLEASE

Answer 1

`\displaystyle d = 2√(10)`

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 R(-2, -4)

Point S(-8, -6)

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+(-6+4)^2)`
2. (Parenthesis) Add:
   `\displaystyle d = √((-6)^2+(-2)^2)`
3. [√Radical] Exponents:
   `\displaystyle d = √(36+4)`
4. [√Radical] Add:
   `\displaystyle d = √(40)`
5. [√Radical] Simplify:
   `\displaystyle d = 2√(10)`