Respuesta :

Space

Answer:

D) 6

General Formulas and Concepts:

Pre-Algebra

  • Order of Operations: BPEMDAS

Algebra II

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

Step-by-step explanation:

Step 1: Define

Point (-1/2, -8)

Point (-1/2, -2)

Step 2: Find distance d

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

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