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BRAINLIEST!!!Consider points A(3, 6) and B(8, 4). Find point C on the x-axis so AC +BC is a minimum.
4 months ago
Q:
BRAINLIEST!!!Consider points A(3, 6) and B(8, 4). Find point C on the x-axis so AC +BC is a minimum.
Accepted Solution
A:
Both points are below the x-axis. You can solve this by thinking of the x-axis as a mirror, I suppose?
Anyway, you have to pick point C:(x,0) on the x-axis. Draw AC and BC.
Now you have to reflect B:(12,-5) in the x-axis, to B':(12,5), and draw B'C; its the reflection in the x-axis of BC.
Finding the shortest line in the original problem is connecting A and B', calling its point of intersection with the x-axis, C.
Then AC+BC will be minimized.
Find x, and thus, C:
A: (4,-3)
B: (12,5)
C: (x, 0)
(0+3)/(x-4) = (5+3)/(12-4) = 1
3 = x - 4
x = 7
C: (7,0)
Well, that took a while. And it sure does look confusing. Hope you'll be able to read it properly.