Respuesta :

Space

Answer:

[tex]\displaystyle d = 34[/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 I

  • Coordinates

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

Point (-1, -13)

Point (-1, 21)

Step 2: Find distance d

  1. Substitute in points [DF]:                    [tex]\displaystyle d = \sqrt{(-1+1)^2+(21+13)^2}[/tex]
  2. (Parenthesis) Add:                              [tex]\displaystyle d = \sqrt{(0)^2+(34)^2}[/tex]
  3. [√Radical] Simplify:                             [tex]\displaystyle d = \sqrt{(34)^2}[/tex]
  4. [√Radical] Evaluate:                           [tex]\displaystyle d = 34[/tex]

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