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Suppose A has a coordinate of 8 and AB = 3. What are the possible midpoints of AB?

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Answer:

The possible midpoints of AB are 6.5 and 9.5

Explanation:

Given that the coordinates of A is 8

The length of AB = 3

When A is the maximum coordinates of the two coordinates, A and B, we have;

The midpoint of AB = Coordinates of A - 1/2 × Length of AB

The midpoint of AB = 8 - 1/2 × 3 = 8 - 1.5 = 6.5

The midpoint of AB = 6.5

When A is the minimum coordinates of the two coordinates, A and B, we have;

The midpoint of AB = Coordinates of A + 1/2 × Length of AB

The midpoint of AB = 8 + 1/2 × 3 = 8 + 1.5 = 9.5

The midpoint of AB = 9.5

Therefore, the possible midpoints of AB are 6.5 and 9.5.

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