idontcare785 idontcare785
  • 21-10-2020
  • Mathematics
contestada

Find the missing endpoint if one endpoint is at (5.-7) and the midpoint is at (15.1).

Respuesta :

mhanifa
mhanifa mhanifa
  • 24-10-2020

Answer:

  • (25, 9)

Step-by-step explanation:

Given

  • Point (5, -7) and midpoint (15, 1)

To find

  • Missing endpoint

Solution

Midpoint formula:

  • x = (x1 + x2)/2,
  • y = (y1 + y2)/2

Substituting values:

  • 15 = (5 + x2)/2 ⇒ 5 + x2 = 30 ⇒ x2 = 30 -5 ⇒ x2 = 25
  • 1 = (-7 + y2)/2 ⇒ -7 + y2 = 2 ⇒ y2 = 2 - (-7) ⇒ y2 = 9

Missing endpoint is:

  • (25, 9)
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