Suppose that E and F are points on the number line. If EF=9 and E lies at 3 , where could be F located? If there are several locations, separate them with commas.

Respuesta :

F could be located at - 6 , 12 on the number line

Step-by-step explanation:

To find the distance between two points on the number line

1. Write the value of the coordinate of each point

2. Subtract the smallest value form the largest value

3. The answer is the distance between the two points

∵ E , F are two points on the number line

∵ E located at 3

- F could located right to E (after E) or left to E (before E)

∵ F located right to E

∴ The coordinate of F is larger than coordinate of E

∴ F - E = 9

∵ The coordinate of E is 3

∴ F - 3 = 9

- Add 3 to both sides

∴ F = 12

∴ F located at 12

∵ F located left to E

∴ The coordinate of E is larger than coordinate of F

∴ E - F = 9

∵ The coordinate of E is 3

∴ 3 - F = 9

- Subtract 3 from both sides

∴ - F = 6

- Multiply both sides by -1

∴ F = - 6

∴ F located at - 6

F could be located at - 6 , 12 on the number line

Learn more:

You can learn more about the number line in brainly.com/question/13174267

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