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find the distance between each pair of points (-1 4) (1 -1)​

Sagot :

Space

Answer:

[tex]\displaystyle d = \sqrt{29}[/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 (-1, 4)

Point (1, -1)

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{(1+1)^2+(-1-4)^2}[/tex]
  2. Add/Subtract:                       [tex]\displaystyle d = \sqrt{(2)^2+(-5)^2}[/tex]
  3. Exponents:                           [tex]\displaystyle d = \sqrt{4+25}[/tex]
  4. Add:                                      [tex]\displaystyle d = \sqrt{29}[/tex]
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