Question

If BC = 10 and B lies at -5, where could C be located?

Answer 1

The location of point C could either be 5 or -15 on the number line, as it is located 10 units away from point B, which is at -5.

Step-by-step explanation:

If we know that point B is located at -5 on the number line and the distance BC is 10 units, we can find the location of point C by either adding or subtracting the distance from point B. This is because in a one-dimensional space like a number line, there are two possibilities for C's location given a distance from B—one in the positive direction and one in the negative direction.

To find the two possible locations for C, we:

1. Add the distance to the coordinate of B: C = B + BC, so C = -5 + 10 = 5.
2. Subtract the distance from the coordinate of B: C = B - BC, so C = -5 - 10 = -15.

Therefore, point C could be located at either 5 or -15 on the number line.