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Pani-rosa [81]
3 years ago
7

What is the distance between the points (-1 , -13) and (-1 , 21) in the coordinate plane?

Mathematics
1 answer:
chubhunter [2.5K]3 years ago
6 0

Answer:

\displaystyle d = 34

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

<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 (-1, -13)

Point (-1, 21)

<u>Step 2: Find distance </u><em><u>d</u></em>

  1. Substitute in points [DF]:                    \displaystyle d = \sqrt{(-1+1)^2+(21+13)^2}
  2. (Parenthesis) Add:                              \displaystyle d = \sqrt{(0)^2+(34)^2}
  3. [√Radical] Simplify:                             \displaystyle d = \sqrt{(34)^2}
  4. [√Radical] Evaluate:                           \displaystyle d = 34
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