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Alina [70]
4 years ago
6

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

Mathematics
1 answer:
ioda4 years ago
7 0

Answer:

  • (25, 9)

Step-by-step explanation:

<h3>Given </h3>
  • Point (5, -7) and midpoint (15, 1)
<h3>To find</h3>
  • Missing endpoint
<h3>Solution</h3>

<u>Midpoint formula:</u>

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

<u>Substituting values:</u>

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

<u>Missing endpoint is:</u>

  • (25, 9)
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