unknownuser0
unknownuser0 unknownuser0
  • 26-03-2021
  • Mathematics
contestada

What is the distance between (4, 7) and (-8, 3)? Round to the nearest tenth.

Respuesta :

altavistard
altavistard altavistard
  • 26-03-2021

Answer:

The distance is approximately 12.6.

Step-by-step explanation:

Moving from (-8, 3) to (4, 7), we see x (the horizontal dimension) increasing by 12 and y (the vertical dimension) increasing by 4.  Think of 12 and 4 as the legs of a right triangle whose hypotenuse represents the distance between these two given points.

This distance, from the Pythagorean Theorem, is

d = √(12^2 + 4^2) = √(144 + 16) = √160 = √16√10.

The desired distance is approximately 12.6.

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