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calderonj4588

Answer: 5 is the answer

Use the distance formula to determine the distance between two points.

Space

Answer:

[tex]\displaystyle d = 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

Coordinate Planes

  • 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, -6)

Point (5, -3)

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{(5 - 1)^2 + (-3 + 6)^2}[/tex]
  2. [Order of Operations] Evaluate:                                                                      [tex]\displaystyle d = \sqrt{25}[/tex]
  3. Simplify:                                                                                                             [tex]\displaystyle d = 5[/tex]

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