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What is the length of the line segment whose end points are (2, 0) and (5, -4)?

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Answer:

5 units

Step-by-step explanation:

Given the points

  • (2,0) and (5,-4)

So ,

  • x1 = 2
  • x2 = 5
  • y1 = 0
  • y2 = -4

Using the distance formula

  • [tex]\rm{D = \sqrt{(x_2-x_1)²+(y_2-y_1)²}}[/tex]

  • [tex]\rm{D = \sqrt{(5-2)²+(-4-0)²}}[/tex]

  • [tex]\rm{D = \sqrt{(3)²+(-4)²}}[/tex]

  • [tex]\rm{D = \sqrt{9+16}}[/tex]

  • [tex]\rm{D = \sqrt{25}}[/tex]

  • [tex]\rm{D = 5}[/tex]

Therefore , the distance or length is 5 units

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