A thin triangular plate of uniform density and thickness has vertices at V1 = (2,1), v2 = (8,1), v3 = (4,7), as in the figure to the right, and the mass of Ay 10- the plate is 3 g. Complete parts a and b below. 8- 6- 4 2- 0+ 2 6 10 a. Find the (x,y)-coordinates of the center of mass of the plate. This "balance point" of the plate coincides with the center of mass of a system consisting of three 1-gram point masses located at the vertices of the plate. The center of mass of the plate is located at. (Type an ordered pair. Type integers or simplified fractions.)

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