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I need help, pls !!!

I need help, pls !!!-example-1

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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:
    \displaystyle d = √((x_2-x_1)^2+(y_2-y_1)^2)

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]:
    \displaystyle d = √((-3+8)^2+(9+1)^2)
  2. Add:
    \displaystyle d = √((5)^2+(10)^2)
  3. Exponents:
    \displaystyle d = √(25+100)
  4. Add:
    \displaystyle d = √(125)
  5. Simplify:
    \displaystyle d = 5√(5)
  6. Evaluate:
    \displaystyle d = 11.1803
  7. Round:
    \displaystyle d = 11.2
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