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solong [7]
3 years ago
5

What is the distance between the points (2, 1) and(6, 7)?

Mathematics
1 answer:
icang [17]3 years ago
3 0

Answer:

\displaystyle d = 2\sqrt{13}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Coordinates (x, y)

<u>Algebra II</u>

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

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (2, 1)

Point (6, 7)

<u>Step 2: Find distance </u><em><u>d</u></em>

Simply plug in the 2 coordinates into the distance formula to find distance <em>d</em>

  1. Substitute in points [Distance Formula]:                                                         \displaystyle d = \sqrt{(6 - 2)^2 + (7 - 1)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{4^2 + 6^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{16 + 36}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{52}
  5. [√Radical] Simplify:                                                                                           \displaystyle d = 2\sqrt{13}
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