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adelina 88 [10]
3 years ago
11

What is the distance between tow points(-1,4)(3,2)

Mathematics
2 answers:
german3 years ago
8 0

Answer:

\displaystyle d = 2\sqrt{5}

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 (-1, 4)

Point (3, 2)

<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--1)^2+(2-4)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                   \displaystyle d = \sqrt{(4)^2+(-2)^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{16+4}
  4. [√Radical] Add:                                                                                                 \displaystyle d = \sqrt{20}
  5. [√Radical] Simplify:                                                                                           \displaystyle d = 2\sqrt{5}
Scilla [17]3 years ago
4 0

Answer:

2√5

Step-by-step explanation:

Distance = √(x1-x2)² + (y1-y2)²

Distance = √(-1-3)² + (4-2)²

Distance = 2√5

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