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Determine the value of [tex]\( y \)[/tex], if [tex]\( x \)[/tex] is -9.

[tex]\[ y = |x + 7| \][/tex]

Answer:
[tex]\(\square\)[/tex]


Sagot :

Alright, let's work through the problem step by step.

We are given the equation:
[tex]\[ y = |x + 7| \][/tex]

and we need to determine the value of [tex]\( y \)[/tex] when [tex]\( x \)[/tex] is [tex]\(-9\)[/tex].

1. Substitute [tex]\( x = -9 \)[/tex] into the equation:
[tex]\[ y = |-9 + 7| \][/tex]

2. Simplify the expression inside the absolute value:
[tex]\[ -9 + 7 = -2 \][/tex]
So,
[tex]\[ y = |-2| \][/tex]

3. Apply the absolute value operation:
The absolute value of [tex]\(-2\)[/tex] is [tex]\(2\)[/tex].

Therefore, the value of [tex]\( y \)[/tex] is [tex]\( 2 \)[/tex].