Question 1191613: I know this question has been asked on here before, but there was no explanation on how the answer was found, so doping someone will explain on how to find the answer and not just provide the answer.
Two cities are located in the xy-plane at the points A(6, 4) and B(12, 7). A company wishes to place a factory on a road between the cities at A and B. It is determined that the company can make the most money if it places the factory exactly halfway between A and B.
However, due to environmental hazards produced by the factory, it is safe for the people living in A and B only if the factory is located exactly 1
3 of the distance from A going toward B. Find the
coordinates of the point where the factory should be placed to ensure the most ethical outcome. Explain your decision.
Answer by Alan3354(69443)   (Show Source):
You can put this solution on YOUR website! Find the coordinates of the point where the factory should be placed to ensure the most ethical outcome. Explain your decision.
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Find the point that's 1/3 of the distance from A(6,4) and B(12,7).
The difference in x is 12-6 = 6.
1/3 of 6 is 2.
Add 2 to 6 = 8.
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The difference in y is 7-4 = 3.
1/3 of 3 is 1.
Add 1 to 4 = 5
---> (8,5) is 1/3 of the distance.
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It's not a decision, it's a calculation.
We don't vote in math.
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