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timofeeve [1]
3 years ago
10

What is the distance between pints (-2 -5) and (3 -6)

Mathematics
1 answer:
sukhopar [10]3 years ago
4 0

Answer:

\displaystyle d = \sqrt{26}

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 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 (-2, -5)

Point (3, -6)

<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 [DF]:                     \displaystyle d = \sqrt{(3--2)^2+(-6--5)^2}
  2. (Parenthesis) Simplify:                         \displaystyle d = \sqrt{(3+2)^2+(-6+5)^2}
  3. (Parenthesis) Add:                               \displaystyle d = \sqrt{(5)^2+(-1)^2}
  4. [√Radical] Exponents:                         \displaystyle d = \sqrt{25+1}
  5. [√Radical] Add:                                    \displaystyle d = \sqrt{26}
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