Saturday, May 22, 2010

If points A, B, and C lie on a coordinate line and points A and B have coordinates 6 and 12 respectively, then

1.If points A, B, and C lie on a coordinate line and points A and B have coordinates 6 and 12 respectively, then which of the possible coordinates for point C satisfy(ies) d(A, C) %26lt; d(B, C)?





2.Which of the following statements is/are true for all real numbers a, b, and c for which the expressions are defined


a. (a+b) (a-c) = a^2 - bc


b. 3a^2+4b Divided by ac+3b = 3a+4 Divided by c+3


c. Both (a) and (b)


d. Neither (a) nor (b)

If points A, B, and C lie on a coordinate line and points A and B have coordinates 6 and 12 respectively, then
1. A = 6


B = 12


d(A,C) = d(B,C) when C = 9 {the average of A %26amp; B}


to the left of A, d(B,C) is always greater than d(A,C).


to the right of B, d(B,C) is always less than d(A,C)





thus d(A,C) %26lt; d(B,C) when C %26lt; 9.








2. d. Neither (a) nor (b) is always true.








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Reply:[1] the possible coordinates for C would be %26lt;6


[2] (d)


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