Question

Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 13 options: A) 8 B) 10 C) 1∕2 D) 6

Answer 1

Answer:

D) 6

General Formulas and Concepts:

Pre-Algebra

• Order of Operations: BPEMDAS

Algebra II

• Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step 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:                              $d = \sqrt{(0)^2+(6)^2}$
3. Exponents:                   $d = \sqrt{0+36}$
4. Add:                              $d = \sqrt{36}$
5. Evaluate:                       $d = 6$