Respuesta :

Space

Answer:

[tex]\displaystyle d = \sqrt{29}[/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:

*Note:

The distance formula is derived from the Pythagorean Theorem.

Step 1: Define

Identify

Point (5, 10)

Point (10, 12)

Step 2: Find distance d

  1. Substitute in points [Distance Formula]:                                                         [tex]\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}[/tex]
  2. [√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{5^2 + 2^2}[/tex]
  3. [√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{25 + 4}[/tex]
  4. [√Radical] Add:                                                                                                  [tex]\displaystyle d = \sqrt{29}[/tex]

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