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EleoNora [17]
3 years ago
11

Find the distance between the two points (-5, -2) and T(-3, 4).

Mathematics
1 answer:
Ulleksa [173]3 years ago
4 0

Answer:

\displaystyle d = 2\sqrt{10}

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS<u> </u>

  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, -2) → x₁ = -5, y₁ = -2

Point (-3, 4) → x₂ = -3, y₂ = 4

<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+(4+2)^2}
  2. [√Radical] (Parenthesis) Add:                                                                        \displaystyle d = \sqrt{(2)^2+(6)^2}
  3. [√Radical] Evaluate exponents:                                                                    \displaystyle d = \sqrt{4+36}
  4. [√Radical] Add:                                                                                               \displaystyle d = \sqrt{40}
  5. [√Radical] Simplify:                                                                                         \displaystyle d = 2\sqrt{10}
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