Jayde420
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Determine the distance between the two coordinates. Round to the nearest TENTH if necessary. (5,-5) and (-2,1)

Respuesta :

Space

Answer:

[tex]d=9.2[/tex]

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS

Alg II

  • Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point (5, -5)

Point (-2, 1)

Step 2: Find distance d

  1. Substitute:                    [tex]d = \sqrt{(-2-5)^2+(1-(-5))^2}[/tex]
  2. Simplify:                        [tex]d = \sqrt{(-2-5)^2+(1+5)^2}[/tex]
  3. Subtract/Add:               [tex]d = \sqrt{(-7)^2+(6)^2}[/tex]
  4. Evaluate:                      [tex]d = \sqrt{49+36}[/tex]
  5. Add:                              [tex]d = \sqrt{85}[/tex]
  6. Evaluate:                      [tex]d=9.21954[/tex]

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