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Hi can you please help me with #11, & 12? Please show all your work.
Thank you in advance

Hi can you please help me with #11, & 12? Please show all your work. Thank you-example-1

1 Answer

2 votes

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Answer:

11. (-4, -1)

12. (2, 7)

Explanation:

The midpoint is the average of the end point coordinates. For segment AB, the midpoint M is ...

M = (A+B)/2

If you have A and M, you can find the other end point B from ...

2M = A+B . . . . multiply the above equation by 2

B = 2M -A . . . . subtract A from both sides

__

11. The midpoint (M) is ...

M = ((-1, 2) +(-7, -4))/2 = (-1-7, 2-4)/2 = (-8, -2)/2

M = (-4, -1)

__

12. The missing end point is ...

Z = 2Y -X

Z = 2(-4, 8) -(-10, 9) = (2(-4)+10, 2(8) -9)

Z = (2, 7)

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