cooper3991
cooper3991 cooper3991
  • 18-03-2021
  • Mathematics
contestada

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Respuesta :

altavistard
altavistard altavistard
  • 18-03-2021

Answer:

17 units

Step-by-step explanation:

Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.

Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg.  We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:

d = √(15² + 8²) = √289 = 17

The distance between the given points is 17 units.

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