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disa [49]
3 years ago
5

Find the coordinates of the missing endpoint if W is the MIDPOINT of XY. W(4,-2) X(7,-4)

Geography
1 answer:
My name is Ann [436]3 years ago
3 0

Answer:

The coordinates of the missing point if W is the midpoint of XY is Y(x,y) =(1,0).

Explanation:

From Linear Algebra we define the location of midpoint by the following expression:

W(x,y) = \frac{1}{2}\cdot X(x,y)+\frac{1}{2}\cdot Y(x,y) (1)

Where:

X(x,y), Y(x,y) - Endpoints of the line segment, dimensionless.

W(x,y) - Midpoint, dimensionless.

If we know that W(x,y) =(4,-2) and X(x,y) = (7,-4), then the location of the point Y is:

Y(x,y) = 2\cdot W(x,y) -X(x,y)

Y(x,y) = 2\cdot (4,-2)-(7,-4)

Y(x,y) = (8,-4)-(7,-4)

Y(x,y) =(8-7,-4+4)

Y(x,y) =(1,0)

The coordinates of the missing point if W is the midpoint of XY is Y(x,y) =(1,0).

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