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Help does someone know the answer? I NEED IT NOW PLEASE

Point X is on a number line halfway between –5 and 11. Point Y

represents an integer that has the same absolute value as point X.

What integers could be represented by point Y?

please help asap

Answer :

Answer:

[tex]y = 3[/tex] or [tex]y =-3[/tex]

Step-by-step explanation:

Given

x = midpoint of -5 and 11

y = absolute value of x

Required

Determine the value of y

First, calculate x.

[tex]x = \frac{1}{2}(-5 + 11)[/tex]

[tex]x = \frac{1}{2}(6)[/tex]

[tex]x = 3[/tex]

y can then be represented as:

[tex]|y| = x[/tex]

[tex]|y| = 3[/tex]

Split:

[tex]y = 3[/tex] or [tex]-y = 3[/tex]

[tex]y = 3[/tex] or [tex]y =-3[/tex]