Respuesta :

MohammadKanaan

Answer:

2√5

Step-by-step explanation:

Distance = √(x1-x2)² + (y1-y2)²

Distance = √(-1-3)² + (4-2)²

Distance = 2√5

Space

Answer:

[tex]\displaystyle d = 2\sqrt{5}[/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

Identify

Point (-1, 4)

Point (3, 2)

Step 2: 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{(3--1)^2+(2-4)^2}[/tex]
  2. [√Radical] (Parenthesis) Subtract:                                                                   [tex]\displaystyle d = \sqrt{(4)^2+(-2)^2}[/tex]
  3. [√Radical] Evaluate exponents:                                                                       [tex]\displaystyle d = \sqrt{16+4}[/tex]
  4. [√Radical] Add:                                                                                                 [tex]\displaystyle d = \sqrt{20}[/tex]
  5. [√Radical] Simplify:                                                                                           [tex]\displaystyle d = 2\sqrt{5}[/tex]

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