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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)?
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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)?
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Mar 5, 2023
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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
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Dario
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Answer:
k = -3
Explanation:
Given
(-k, k) is the
midpoint
of the line joining (2, k + 1) and (1 - k, 4)
Solving
Equate the midpoint and endpoints using the
Midpoint Formula
Let's equate the x parts
-k = 2 + 1 - k / 2
-2k = 3 - k
-k = 3
k = -3
Workerjoe
answered
Mar 10, 2023
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Workerjoe
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