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nikitadnepr [17]
3 years ago
7

Find the distance between the pair of points that given on the graph?

Mathematics
1 answer:
katen-ka-za [31]3 years ago
8 0

Answer:

\displaystyle d = \sqrt{74}

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>

  • Reading a coordinate plane
  • 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>Find endpoints from graph</em>

Point (-3, -3)

Point (4, 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{(4- -3)^2+(2- -3)^2}
  2. [√Radical] (Parenthesis) Subtract:                                                                    \displaystyle d = \sqrt{7^2+5^2}
  3. [√Radical] Evaluate exponents:                                                                       \displaystyle d = \sqrt{49+25}
  4. [√Radical] Add:                                                                                                  \displaystyle d = \sqrt{74}
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