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denis23 [38]
3 years ago
7

Find the distance between the points (5,-6), (-3,12)

Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer:

\displaystyle d = 2\sqrt{97}

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>

Point (5, -6)

Point (-3, 12)

<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{(-3-5)^2+(12+6)^2}
  2. [√Radical] (Parenthesis) Subtract/Add:                                                         \displaystyle d = \sqrt{(-8)^2+(18)^2}
  3. [√Radical] Evaluate Exponents:                                                                    \displaystyle d = \sqrt{64+324}
  4. [√Radical] Add:                                                                                               \displaystyle d = \sqrt{388}
  5. [√Radical] Simplify:                                                                                     \displaystyle d = 2\sqrt{97}
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