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Find the distance between (4,6) and (-2, -2)

Sagot :

Space

Answer:

[tex]\displaystyle d = 10[/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 (4, 6)

Point (-2, -2)

Step 2: Find distance d

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

  1. Substitute [DF]:                     [tex]\displaystyle d = \sqrt{(-2-4)^2+(-2-6)^2}[/tex]
  2. Subtract:                                [tex]\displaystyle d = \sqrt{(-6)^2+(-8)^2}[/tex]
  3. Exponents:                            [tex]\displaystyle d = \sqrt{36+64}[/tex]
  4. Add:                                       [tex]\displaystyle d = \sqrt{100}[/tex]
  5. Evaluate:                               [tex]\displaystyle d = 10[/tex]
the distance will be 10!
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