Respuesta :

Space

Answer:

[tex]\displaystyle d = \sqrt{72}[/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]\displaystyle 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 (2, -3)

Point (8, -9)

Step 2: Find distance d

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

  1. Substitute in points [DF]:                    [tex]\displaystyle d = \sqrt{(8-2)^2+(-9--3)^2}[/tex]
  2. (Parenthesis) Simplify:                        [tex]\displaystyle d = \sqrt{(8-2)^2+(-9+3)^2}[/tex]
  3. (Parenthesis) Subtract/Add:               [tex]\displaystyle d = \sqrt{(6)^2+(-6)^2}[/tex]
  4. [√Radical] Exponents:                        [tex]\displaystyle d = \sqrt{36+36}[/tex]
  5. [√Radical] Add:                                   [tex]\displaystyle d = \sqrt{72}[/tex]

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