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HELP PLS QUICK


(03.03 LC)
Look at points C and D on the graph:

What is the distance (in units) between points C and D? Round your answer to the
nearest hundredth. (5 points)

HELP PLS QUICK 0303 LC Look at points C and D on the graph What is the distance in units between points C and D Round your answer to the nearest hundredth 5 poi class=

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Space

Answer:

[tex]\displaystyle d \approx 7.07[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Algebra I

  • Reading a Cartesian plane
  • Coordinates (x, y)

Algebra II

  • Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

Step 1: Define

Point C (-2, 0)

Point D (3, 5)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

  1. Substitute in points [Distance Formula]:                                                       [tex]\displaystyle d = \sqrt{(3+2)^2+(5-0)^2}[/tex]
  2. [√Radical] (Parenthesis) Add/Subtract:                                                         [tex]\displaystyle d = \sqrt{(5)^2+(5)^2}[/tex]
  3. [√Radical] Evaluate exponents:                                                                    [tex]\displaystyle d = \sqrt{25+25}[/tex]
  4. [√Radical] Add:                                                                                               [tex]\displaystyle d = \sqrt{50}[/tex]
  5. [√Radical] Simplify:                                                                                         [tex]\displaystyle d = 5\sqrt{2}[/tex]
  6. [√Radical] Evaluate:                                                                                       [tex]\displaystyle d = 7.07107[/tex]
  7. Round:                                                                                                             [tex]\displaystyle d \approx 7.07[/tex]