Respuesta :
The coordinates of point M after the partition is (2, 3.25).
What are coordinates and how to determine coordinates?
- 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:
[tex]M=\frac{1}{m+n} *(mx_{2}+nx_{1} , my_{2} +ny_{1} )[/tex]
So, we have:
[tex]M=\frac{1}{3+5} * (3*7+5*-1,3*7+5*1)[/tex]
Evaluate the sum and the product:
[tex]M=\frac{1}{8} *(16,26)[/tex]
Evaluate the product:
[tex]M=(2,3.25)[/tex]
The coordinates of point M is (2, 3.25)
Therefore, the coordinates of point M after the partition is (2, 3.25).
Know more about coordinates here:
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