Question

on a number line, suppose point E has a coordinate of 3, EG=6, and EX=12. is G the midpoint of EX? what are the possible coordinates for G and X?

Answer 1

Answer:

• could be, isn't necessarily
• G = -3 or 9; X = -9 or 15

Step-by-step explanation:

If E is 3 and EG is 6, then ...

  G = E ± EG = 3 ± 6

  G = -3 or 9

If E is 3 and EX is 12, then ...

  X = E ± EX = 3 ± 12

  X = -9, or 15

__

If X and G have the same sign, then G will be the midpoint of EX. If not, then G is not the midpoint.

That is, -3 is halfway between -9 and 3, just as +9 is halfway between 3 and +15. On the other hand, -3 is not between 3 and 15; nor is 9 between 3 and -9.