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Snowcat [4.5K]
3 years ago
6

What is the distance between the points (5, 1) and (-3,-5)? O2 10 025 O 10 045

Mathematics
1 answer:
Leno4ka [110]3 years ago
5 0

Answer:

10

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>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, 1)

Point (-3, -5)

<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+(-5-1)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(-8)^2+(-6)^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{64+36}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{100}
  5. [√Radical] Evaluate:                                                                                         d = 10
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