MJM15
contestada

Find the distance between (-5,-8) and (-1,16). If necessary, round to the nearest tenth.

Respuesta :

Space

Answer:

[tex]\displaystyle d \approx 24.3[/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 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 (-5, -8)

Point (-1, 16)

Step 2: Find distance d

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

  1. Substitute in points [DF]:                     [tex]\displaystyle d = \sqrt{(-1+5)^2+(16+8)^2}[/tex]
  2. (Parenthesis) Add:                               [tex]\displaystyle d = \sqrt{(4)^2+(24)^2}[/tex]
  3. [√Radical] Exponents:                         [tex]\displaystyle d = \sqrt{16+576}[/tex]
  4. [√Radical] Add:                                    [tex]\displaystyle d = \sqrt{592}[/tex]
  5. [√Radical] Simplify:                              [tex]\displaystyle d = 4\sqrt{37}[/tex]
  6. [√Radical] Evaluate:                            [tex]\displaystyle d = 24.3311[/tex]
  7. Round:                                                  [tex]\displaystyle d \approx 24.3[/tex]

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