Parallelogram card has vertices (5, -2), (-1, -2), (1, 2), and (7, 2), respectively. the diagonals, cr and ad intersect at point t. what is the length of ct? what is the length of dt?

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, this means that the point of intersection is the midpoint for each one of them.

So, diagonal CR has coordinates C(5,-2) and R(1,2).  Its midpoint would be

Therefore, the mid point is at (3,0).

Now, to find the length of CT and DT, we use the definition of distance between two points:

Therefore, the length of CT is 4 units. DT has the same length, because as we said, T divides diagonal is equal parts because is a mid point.

So, CT = DT = 4 units.

step-by-step explanation:

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correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,