Points A, B and C are located on the coordinate line. Point A has coordinate 7, point B has coordinate -2.

| August 24, 2021 | education

Points A, B and C are located on the coordinate line. Point A has coordinate 7, point B has coordinate -2. Point C is such that its coordinate is negative, and the length of the segment AB is 60% of the length of the segment AC. What is the coordinate of point C?

Let’s find the value of the segment AB.

Since all three points (A, B and C) lie on the same coordinate line, the value of the segment AB will be as follows:

AB = 7 – (-2) = 9, where 7 is the coordinate of point A, (-2) is the coordinate of point B.

Let’s find the value of the segment AC.

Since the value of the segment AB is 60% of the value of the segment AC, then AC = AB * 100% / 60% = 9 * 100% / 60% = 15.

Let us now find the coordinate of point C. Since it is said in the problem statement that it is negative, then in absolute value this coordinate will be equal to: C = | 15 – 7 | = 8.

In this case, the real coordinate of point C will be -8.



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