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svetlana [45]
2 years ago
10

11 What is the value of k if the mid-point of the line joining (1 – k, 4) and (2, k + 1) is (-k, k)? ​

Mathematics
1 answer:
lawyer [7]2 years ago
6 0

Answer:

<u>k = -3</u>

Step-by-step explanation:

<u>Given</u>

  • (-k, k) is the midpoint of the line joining (2, k + 1) and (1 - k, 4)

<u>Solving</u>

  • Equate the midpoint and endpoints using the <u>Midpoint Formula</u>
  • Let's equate the x parts
  • -k = 2 + 1 - k / 2
  • -2k = 3 - k
  • -k = 3
  • <u>k = -3</u>
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