Respuesta :

Space

Answer:

[tex]d = 14[/tex]

[tex](-2,-1)[/tex]

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
  • Midpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

(5, -1)

(-9, -1)

Step 2: Find distance d

  1. Substitute:                    [tex]d = \sqrt{(-9-5)^2+(-1-(-1))^2}[/tex]
  2. Simplify:                        [tex]d = \sqrt{(-9-5)^2+(-1+1)^2}[/tex]
  3. Subtract/Add:               [tex]d = \sqrt{(-14)^2+(0)^2}[/tex]
  4. Evaluate:                       [tex]d = \sqrt{196}[/tex]
  5. Evaluate:                       [tex]d = \14[/tex]

Step 3: Find Midpoint

  1. Substitute:                    [tex](\frac{5-9}{2},\frac{-1-1}{2})[/tex]
  2. Subtract:                       [tex](\frac{-4}{2},\frac{-2}{2})[/tex]
  3. Divide:                          [tex](-2,-1)[/tex]

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