Respuesta :

Space

Answer:

[tex]d = 4.47214[/tex]

General Formulas and Concepts

Pre-Alg

  • Order of Operations: BPEMDAS

Alg II

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

Step-by-step explanation:

Step 1: Define

A (3, -2)

B (5, 2)

Step 2: Find distance d

  1. Substitute:                    [tex]d = \sqrt{(5-3)^2+(2-(-2))^2}[/tex]
  2. Simplify:                        [tex]d = \sqrt{(5-3)^2+(2+2)^2}[/tex]
  3. Subtract/Add:               [tex]d = \sqrt{(2)^2+(4)^2}[/tex]
  4. Evaluate:                       [tex]d = \sqrt{4+16}[/tex]
  5. Add:                              [tex]d = \sqrt{20}[/tex]
  6. Evaluate:                       [tex]d = 4.47214[/tex]

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