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Determine the value of y, if x is 6. y=|x+7| Answer:

Determine the value of y y , if x x is 66.\newliney=∣x+7∣ y=|x+7| \newlineAnswer:

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Evaluate absolute value expressionsright chevron icon

Full solution

Q. Determine the value of y y , if x x is 66.\newliney=∣x+7∣ y=|x+7| \newlineAnswer:
  1. Identify Given Values: Identify the given values and the expression to be evaluated.\newlineWe are given that x=6x = 6 and we need to evaluate the expression y=∣x+7∣y = |x + 7|.
  2. Substitute Value: Substitute the value of xx into the expression.\newlineSubstitute x=6x = 6 into the expression y=∣x+7∣y = |x + 7| to get y=∣6+7∣y = |6 + 7|.
  3. Perform Addition: Perform the addition inside the absolute value.\newlineCalculate the sum inside the absolute value: 6+7=136 + 7 = 13.
  4. Evaluate Absolute Value: Evaluate the absolute value.\newlineSince 1313 is a positive number, the absolute value of 1313 is just 1313. Therefore, y=∣13∣=13y = |13| = 13.

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