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Find the distance between (-6, -5) and (2,0)

Sagot :

Space

Answer:

[tex]\displaystyle d = \sqrt{89}[/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 (-6, -5)

Point (2, 0)

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+6)^2+(0+5)^2}[/tex]
  2. Add:                                      [tex]\displaystyle d = \sqrt{(8)^2+(5)^2}[/tex]
  3. Exponents:                           [tex]\displaystyle d = \sqrt{64+25}[/tex]
  4. Add:                                      [tex]\displaystyle d = \sqrt{89}[/tex]
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