SOLUTION: Point P (u,v) is in the first quadrant on the graph of the line connecting the points (0,4) and (4,0). A shaded triangular region is shown in the diagram. For what point P will t

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Question 1152182: Point P (u,v) is in the first quadrant on the graph of the line connecting the points (0,4) and (4,0). A shaded triangular region is shown in the diagram. For what point P will the area of the shaded triangular region be a maximum?
Found 2 solutions by MathLover1, lolxcry:
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!

as you can see, point is of hypotenuse, and its coordinates are:
(), ()=(,)

a shaded triangular region is right triangle with legs length of
so, the area of a shaded triangular region is:

Answer by lolxcry(1)   (Show Source): You can put this solution on YOUR website!

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