The midpoint of a segment is ( 6, -6) and one endpoint is (13,-1). Find the coordinates of the other endpoint

1 answer:

3 0

So, the formula for finding the midpoint of a segment given the coordinates of its endpoints is:

((x1+ x2)/2, (y1 + y2)/2 {Average of the x coordinates, average of the y coordinates}.

For this problem we know the coordinates of the midpoint along with one of the endpoints.

So the x coordinate of the midpoint (9) must equal (12 + x2)/2.

That is: 9 = (12 + x2)/2 Solve for x2. Follow a similar pattern to find the y coordinate of the unknown endpoint.

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Determine all the factors for the following expression(Note: you will need to use the Rational Root Theorem more than one time)

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ANSWER

Possible rational roots: ±1,±2,±3,±4,±6,±12±1,±2,±3,±4,±6,±12

Actual rational roots: 1,−1,2,−2,−3

see attachments for all steps.