Determine the value of y, if x is 9. y=|x-9| Answer:

Understand absolute value function: Understand the absolute value function. The absolute value of a number is the distance of that number from zero on the number line, regardless of direction. It is always a non-negative number.Substitute given value of x: Substitute the given value of x into the equation. Since x is given as 9, we substitute 9 for x in the equation y = |x - 9|. y = |9 - 9|Perform subtraction inside absolute value: Perform the subtraction inside the absolute value. Calculate the value inside the absolute value brackets. 9 - 9 = 0 So, y = |0|Evaluate absolute value: Evaluate the absolute value of the result. The absolute value of 0 is 0, because 0 is zero units away from itself on the number line. y = 0

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Determine the value of
y, if
x is 9.

y=|x-9|
Answer:

Determine the value of $y$ , if $x$ is $9$ . $\newline$ $y=|x-9|$ $\newline$ Answer:

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Math Problems

Grade 7

Evaluate absolute value expressions

Full solution

Q. Determine the value of

y

, if

x

9

\newline

y=|x-9|

\newline

Answer:

Understand absolute value function: Understand the absolute value function. $\newline$ The absolute value of a number is the distance of that number from zero on the number line, regardless of direction. It is always a non-negative number.
Substitute given value of $x$ : Substitute the given value of $x$ into the equation. $\newline$ Since $x$ is given as $9$ , we substitute $9$ for $x$ in the equation $y = |x - 9|$ . $\newline$ $y = |9 - 9|$
Perform subtraction inside absolute value: Perform the subtraction inside the absolute value. $\newline$ Calculate the value inside the absolute value brackets. $\newline$ $9 - 9 = 0$ $\newline$ So, $y = |0|$
Evaluate absolute value: Evaluate the absolute value of the result. $\newline$ The absolute value of $0$ is $0$ , because $0$ is zero units away from itself on the number line. $\newline$ $y = 0$