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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

Respuesta :

Space

Answer:

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: [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{(\frac{-1}{2} +\frac{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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