bisijagun bisijagun
  • 25-04-2021
  • Mathematics
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Find the distance between the two points where y = 3x + 12 crosses the coordinate axes

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pavlostzouras pavlostzouras
  • 25-04-2021

Answer:

4*sqrt(10)

Step-by-step explanation:

For y = 0: 3x = - 12 - - > x = -4, so A(-4,0)

For x=0: y=12, so B(0,12)

The distance between two points is given by:

[tex]d = \sqrt{ {(x1 - x2)}^{2} + {(y1 - y2)}^{2} }[/tex]

[tex]d = \sqrt{( - 4 - 0) {}^{2} + {(0 - 12)}^{2} } = 4 \times \sqrt{10} [/tex]

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