Respuesta :

Space

Answer:

[tex]d \approx 12.6[/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

Find points from graph.

Point A (-4, 2)

Point B (8, 6)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d.

  1. Substitute [DF]:                    [tex]d = \sqrt{(8+4)^2+(6-2)^2}[/tex]
  2. Add/Subtract:                       [tex]d = \sqrt{(12)^2+(4)^2}[/tex]
  3. Exponents:                           [tex]d = \sqrt{144+16}[/tex]
  4. Add:                                      [tex]d = \sqrt{160}[/tex]
  5. Simplify:                                [tex]d = 4\sqrt{10}[/tex]
  6. Evaluate:                              [tex]d = 12.6491[/tex]
  7. Round:                                 [tex]d \approx 12.6[/tex]

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