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

Determine the value of y y , if x x is 99.\newliney=∣x−9∣ y=|x-9| \newlineAnswer:

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Evaluate absolute value expressionsright chevron icon

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Q. Determine the value of y y , if x x is 99.\newliney=∣x−9∣ y=|x-9| \newlineAnswer:
  1. Understand absolute value function: Understand the absolute value function.\newlineThe 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.
  2. Substitute given value of xx: Substitute the given value of xx into the equation.\newlineSince xx is given as 99, we substitute 99 for xx in the equation y=∣x−9∣y = |x - 9|.\newliney=∣9−9∣y = |9 - 9|
  3. Perform subtraction inside absolute value: Perform the subtraction inside the absolute value.\newlineCalculate the value inside the absolute value brackets.\newline9−9=09 - 9 = 0\newlineSo, y=∣0∣y = |0|
  4. Evaluate absolute value: Evaluate the absolute value of the result.\newlineThe absolute value of 00 is 00, because 00 is zero units away from itself on the number line.\newliney=0y = 0

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