Answer:
N could be either 23 or -1.
Step-by-step explanation:
If M is located at 11 on a number line and you are given the distance from M to N is 12 then:
N is either 11+12=23
or
N is 11-12=-1
Both of these would give you a distance of 12 from M=11.
The distance between two numbers, a and b, can be found by calculating:
|a-b|.
So let's check our solutions.
N=23
|M-N|=|11-23|=|-12|=12.
|M-N|=|11-(-1)|=|12|=12.
So either coordinate of N would make MN=12.
We have that the possible coordinates for N on the number line has been mathematically derived as
N=23 and
N=-1
Below
From the question we are told that:
M is at 11 on the number line
MN is 12 apart on the number line
Generally from the statement given above it show that
[tex]N= M \pm MN[/tex]
Therefore
They are two possible coordinates for N on the number line which are
[tex]N=11 \pm 12[/tex]
Given
For Plus(+)
[tex]N=11 + 12\\\\N=23[/tex]
For Minus(-)
[tex]N=11 - 12\\\\N=-1[/tex]
In conclusion
The possible coordinates for N on the number line is mathematically derived as
N=23 and
N=-1
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