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Sagot :

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Answer:

[tex]\displaystyle d = 2\sqrt{10}[/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 R(-2, -4)

Point S(-8, -6)

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+(-6+4)^2}[/tex]
  2. (Parenthesis) Add:                                 [tex]\displaystyle d = \sqrt{(-6)^2+(-2)^2}[/tex]
  3. [√Radical] Exponents:                          [tex]\displaystyle d = \sqrt{36+4}[/tex]
  4. [√Radical] Add:                                     [tex]\displaystyle d = \sqrt{40}[/tex]
  5. [√Radical] Simplify:                               [tex]\displaystyle d = 2\sqrt{10}[/tex]
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