Water from a leaking faucet is dripping into a cylindrical cup. The height of water in inches, y, after x hours is graphed below
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The coordinates of the point that is one-half the distance between A(-1,-2) and B(6,12) is (2.5,5)
What is the midpoint?
The mid-point lies midway between the two ends. Its x value lies in the middle of the other two x values. Its y value lies in the middle of the other two y values.
Given,
Let M is a midpoint of AB, then
The midpoint of point AB is M(2.5,5)
Therefore, the coordinates of the point which is one-half the distance between A(-1,-2) and B(6,12) is M(2.5,5).
To learn more about the midpoint
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On a coordinate plane, any movement up and down is on the y-axis. So if your parallelogram is moving down 2.5 units, then the y-values of each vertice will go down by 2.5:
A(-2, -8), B(-4, -8), C(-3, -4.5), D(-1, -4.5)
A(-2, -8), B(-4, -8), C(-3, -4.5), D(-1, -4.5)