Respuesta :

Space

Answer:

[tex]d \approx 19.42[/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 (3, 8)

Point (7, -11)

Step 2: Find distance d

  1. Substitute:                    [tex]d = \sqrt{(7-3)^2+(-11-8)^2}[/tex]
  2. Subtract:                       [tex]d = \sqrt{(4)^2+(-19)^2}[/tex]
  3. Exponents:                   [tex]d = \sqrt{16+361}[/tex]
  4. Add:                              [tex]d = \sqrt{377}[/tex]
  5. Evaluate:                      [tex]d = 19.4165[/tex]
  6. Round:                          [tex]d \approx 19.42[/tex]

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