Question:

If a mid point of (a,b) and (12,4) is (9,8). What is a and b?

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  1. You just have to think through this.

    12, the value for x in the second set of coordinates, is three greater than nine. Three less than nine is six.

    4, the value for y in the second set of coordinates, is 4 less than eight. Four greater than eight is twelve.

    (a,b)=(6,12)


  2. a = 9 - (12 - 9) = 6

    b = 8 - (4 - 8) = 12

    This is not a geography question.

  3. 8 is half way between 4 and b. What is b?

    9 is half way between 12 and a. What is a?

  4. using midpoint formula:-

    9=(a+12)/2 , 8=(4+b)/2

    a+12=18 , 4+b=16

    a=6, b=12

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