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  • 19-04-2019
  • Mathematics
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What is the midpoint of the segment whose endpoints are (8, 10, –3) and (4, –2, –9)?

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znk
znk znk
  • 19-04-2019

Answer:

(6, 4, -6)

Step-by-step explanation:

The midpoint of two points is half-way between their x-, y-, and z-values.

For the x-coordinate,

(x₂ + x₁)/2 = (4 + 8)/2 = 12/2 = 6

For the y-coordinate,

(y₂ + y₁)/2 = (-2 + 10)/2 = 8/2 = 4

For the z-coordinate,

(z₂ + z₁)/2 = [-9 + (-3)]/2 = -12/2 = -6

The coordinates of the midpoint are (6, 4, -6).

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