abukwemagwa8
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  • 23-09-2021
  • Mathematics
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Use the Pythagorean Theorem to find the distance between (-3, 4) and (6,1). Show all calculations.

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sqdancefan
sqdancefan sqdancefan
  • 23-09-2021

9514 1404 393

Answer:

  3√10 units

Step-by-step explanation:

The distance formula uses the Pythagorean theorem to find the distance between (x1, y1) and (x2, y2).

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((6 -(-3))² +(1 -4)²) = √(9² +(-3)²) = √(81 +9) = √90

  d = √(3²·10) = 3√10

The distance between the points is 3√10 units.

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