kiley013
kiley013 kiley013
  • 16-03-2020
  • Mathematics
contestada

Find the distance from the point (3,2) to the line 2y + 3x = 5. Round your answer to the nearest tenth.

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sqdancefan
sqdancefan sqdancefan
  • 16-03-2020

Answer:

  (8/13)√13 ≈ 2.2

Step-by-step explanation:

The distance from point (x, y) to line ax+by=c can be found using the formula ...

  d = |ax +by -c|/√(a²+b²)

Filling in the given values, we find the distance to be

  d = |3·3 +2·2 -5|/√(3² +2²) = 8/√13

  d = (8√13)/13 ≈ 2.2 . . . . . after rationalizing the denominator

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