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Name each of the points on the coordinate plane and find the distance between C and D.

Name Each Of The Points On The Coordinate Plane And Find The Distance Between C And D class=

Sagot :

Space

Answer:

[tex]\displaystyle d = 7[/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 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(4, -5)

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 [DF]:                    [tex]\displaystyle d = \sqrt{(-3-4)^2+(-5+5)^2}[/tex]
  2. Subtract/Add:                       [tex]\displaystyle d = \sqrt{(-7)^2+(0)^2}[/tex]
  3. Exponents:                           [tex]\displaystyle d = \sqrt{49+0}[/tex]
  4. Add:                                      [tex]\displaystyle d = \sqrt{49}[/tex]
  5. Evaluate:                              [tex]\displaystyle d = 7[/tex]
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