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Answer:

D) 11.2 Orange

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 (-8, -1)

Point (-3, 9)

Step 2: Find distance d

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

  1. Substitute [DF]:                    [tex]\displaystyle d = \sqrt{(-3+8)^2+(9+1)^2}[/tex]
  2. Add:                                      [tex]\displaystyle d = \sqrt{(5)^2+(10)^2}[/tex]
  3. Exponents:                           [tex]\displaystyle d = \sqrt{25+100}[/tex]
  4. Add:                                      [tex]\displaystyle d = \sqrt{125}[/tex]
  5. Simplify:                               [tex]\displaystyle d = 5\sqrt{5}[/tex]
  6. Evaluate:                              [tex]\displaystyle d = 11.1803[/tex]
  7. Round:                                 [tex]\displaystyle d = 11.2[/tex]
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