Respuesta :

Space

Answer:

[tex]\displaystyle d = 16[/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 (x, y)

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 M(-21, -7)

Point N(-5, -7)

Step 2: Identify

M(-21, -7) → x₁ = -21, y₁ = -7

N(-5, -7) → x₂ = -5, y₂ = -7

Step 3: Find distance d

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

  1. Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(-5+21)^2+(-7+7)^2}[/tex]
  2. [Distance] [√Radical] (Parenthesis) Add:                                                      [tex]\displaystyle d = \sqrt{(16)^2+(0)^2}[/tex]
  3. [Distance] [√Radical] Evaluate exponent:                                                     [tex]\displaystyle d = \sqrt{(16)^2}[/tex]
  4. [Distance] Evaluate radical:                                                                            [tex]\displaystyle d = 16[/tex]

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