Respuesta :

Space

Answer:

[tex]d \approx 18.4[/tex]

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 C (-2, 6)

Point D (10, -8)

Step 2: Find distance d

  1. Substitute:                    [tex]d = \sqrt{(10+2)^2+(-8-6)^2}[/tex]
  2. Add/Subtract:               [tex]d = \sqrt{(12)^2+(-14)^2}[/tex]
  3. Exponents:                   [tex]d = \sqrt{144+196}[/tex]
  4. Add:                              [tex]d = \sqrt{340}[/tex]
  5. Simplify:                        [tex]d =2 \sqrt{85}[/tex]
  6. Evaluate:                       [tex]d = 18.4391[/tex]
  7. Round:                          [tex]d \approx 18.4[/tex]

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