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If you connect points W and X, What would be the distance between the two points?
*Hint draw the legs

If you connect points W and X What would be the distance between the two points Hint draw the legs class=

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Answer:

[tex]\displaystyle d = 12\sqrt{2}[/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 graph
  • Coordinates (x, y)

Trigonometry

  • [Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Algebra II

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

Step-by-step explanation:

*Note: The Distance Formula is derived from the Pythagorean Theorem

Step 1: Define

Point W(-6, 4)

Point X(6, -8)

Step 2: Find distance d

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

  1. Substitute in points [DF]:                    [tex]\displaystyle d = \sqrt{(6--6)^2+(-8-4)^2}[/tex]
  2. (Parenthesis) Simplify:                        [tex]\displaystyle d = \sqrt{(6+6)^2+(-8-4)^2}[/tex]
  3. (Parenthesis) Add/Subtract:               [tex]\displaystyle d = \sqrt{(12)^2+(-12)^2}[/tex]
  4. [√Radical] Exponents:                        [tex]\displaystyle d = \sqrt{144 + 144}[/tex]
  5. [√Radical] Add:                                   [tex]\displaystyle d = \sqrt{288}[/tex]
  6. [√Radical] Simplify:                             [tex]\displaystyle d = 12\sqrt{2}[/tex]

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