The coordinates of point M after the partition is (2, 3.25).
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What are coordinates and how to determine coordinates?</h3>
- A coordinate system in geometry is a system that uses one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
We have:
- Endpoints = (-1,1) and (7,7)
- Ratio, m : n = 3 : 5
The coordinates of point M is then calculated using:
So, we have:
Evaluate the sum and the product:
Evaluate the product:
The coordinates of point M is (2, 3.25)
Therefore, the coordinates of point M after the partition is (2, 3.25).
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