SOLUTION: Two cities are located in the xy-plane at the points A(8 , 9) and B(1 , 7). A company wishes to place a factory on a road between the cities at A and B. It is determined that the c
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-> SOLUTION: Two cities are located in the xy-plane at the points A(8 , 9) and B(1 , 7). A company wishes to place a factory on a road between the cities at A and B. It is determined that the c
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Question 1077948: Two cities are located in the xy-plane at the points A(8 , 9) and B(1 , 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 ⅓ 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. Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! A( 8,9 )
B( 1,7 )
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Points have the form ( x,y )
Find 1/3 of the x-distance from A to B
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Find 1/3 of the y-distance from A to B
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The factory should be at C ( 17/3 , 25/3 )
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check:
distance AC should be 1/2 of distance CB
That seems to prove it
Get another opinion definitely!
