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igor_vitrenko [27]
3 years ago
10

Suppose that Y and Z are points on the number line.

Mathematics
1 answer:
alexgriva [62]3 years ago
5 0

We have been given that Y and Z are points on the number line.   The length of segment YZ is 9 units and Y lies at -12. We are asked to find the location of point Z.

Since Y and Z are located on number line, so Z can be either on left side of Y or on right side of Y.

When Z is on left side of Y, then we can set an equation as:

Y-Z=9

-12-Z=9

-12+12-Z=9+12

-Z=21

Z=-21

Therefore, the location of Z will be -21.

When Z is on right side of Y, then we can set an equation as:

Z-Y=9

Z-(-12)=9

Z+12=9

Z+12-12=9-12

Z=-3

Therefore, the location of Z will be -3.

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