eestrada3 eestrada3
  • 15-05-2021
  • Mathematics
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what is the distance between the points (4,-2) and )-5,3)?

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altavistard
altavistard altavistard
  • 15-05-2021

Answer:

10.3

Step-by-step explanation:

Let the given points be the endpoints of a right triangle.  The horizontal change in x is from 4 to -5 and is negative 9; the vertical change in y is from -2 to+ 3 and is +5.

The desired distance is found using the Pythagorean theorem:

d = √(9² + 5²) = √106, or 10.3 (to the nearest tength)

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