Question

Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 5 options: A) 6 B) 10 C) 8 D) 1∕2

Answer 1

A) 6

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:
  `d = √((x_2-x_1)^2+(y_2-y_1)^2)`

Explanation:

Step 1: Define

Point (-1/2, -8)

Point (-1/2, -2)

Step 2: Find distance d

1. Substitute:
   `d = \sqrt{((-1)/(2) +(1)/(2) )^2+(-2+8)^2}`
2. Add:
   `d = √((0)^2+(6)^2)`
3. Exponents:
   `d = √(0+36)`
4. Add:
   `d = √(36)`
5. Evaluate:
   `d = 6`