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From 2000 through 2009, the population of Kentucky grew more slowly than that of South Carolina. Models that represent the populations of the two states are given by
where P represents the population (in thousands) and t represents the year, with t=0 corresponding to 2000. Use a graphing utility to estimate the year when the population of South Carolina first exceeded that of Kentucky.
The points and are vertices of a rhombus . The goal of this task is to find the equation of the diagonal . In order to do so, use the fact that diagonals of a rhombus are perpendicular. Also, find the coordinates of and if it is known that the side has gradient . In order to do so, find the points of intersection of diagonals and sides of a rhombus.
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