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On a number​ line, suppose the coordinate of A is​ 0, and AR = 17. What are the possible coordinates of the midpoint of AR ​?

Sagot :

Step-by-step explanation:

The coordinate of A is 0. It is given that AR = 17. AR represents the distance from point A to point R. Remember that distance is always positive. So, from here we have two possibilities.

Point R is on Right side of A i.e. at coordinate 17

Point R is on Left side of A i.e. at coordinate -17

In both of these cases AR which is the distance from A to R will be 17.

So, if R is on Right side of A, the midpoint of AR would be:

0+17

  ÷      =  17/2  = 8.5

  2

Or if R is on Left side of A, the midpoint of AR would be:

0-17

  ÷      =  -17/2  = -8.5

  2

Thus, the possible coordinates of the midpoint of AR are 8.5 and -8.5

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