notpeppapigs notpeppapigs
  • 20-09-2021
  • Mathematics
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Find the distance between the line 5x - 12y - 169=0 and the origin

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sqdancefan
sqdancefan sqdancefan
  • 21-09-2021

9514 1404 393

Answer:

  13 units

Step-by-step explanation:

The distance d between the point (x, y) and the line ax+by+c=0 is ...

  d = |ax +by +c|/√(a² +b²)

For the given point and line, the distance is ...

  d = |5·0 -12·0 -169|/√(5² +(-12)²) = 169/√169 = √169

  d = 13

The distance between the line and the origin is 13 units.

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