Three points, a, b, and c exists in space such that b is "between" a and c. it is known that ab  7 , bc  4 and ac  9 . are points a, b, and c collinear? give a written explanation, supported by mathematical evidence, for your answer.

The answer to your question is: the points are not collinear.

Step-by-step explanation:

Data

AB = 7

BC = 4

AC = 9

Are points A,B and C collinear?

If they are collinear, the distance from AB plus the distance BC must be equal to the distance AC.

Process

                 dAB    +     d dBC     =     d AC

                  7         +    4              =     9

                                     11           =    9  

The distances are different so they are no collinear

the radius is 2 times the diameter.

step-by-step explanation: