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Answer :
To evaluate the expression [tex]\(2|-x|\)[/tex] at [tex]\(x=10\)[/tex], follow these steps:
1. Substitute the value of [tex]\(x\)[/tex]: Given [tex]\(x = 10\)[/tex], substitute it into the expression to get [tex]\(2|-(10)|\)[/tex].
2. Simplify the expression inside the absolute value: The expression inside the absolute value is [tex]\(-10\)[/tex].
3. Find the absolute value: The absolute value [tex]\(|-10|\)[/tex] is 10 because the absolute value of a number is its distance from zero on a number line, which is always non-negative.
4. Multiply by 2: Finally, multiply the result of the absolute value by 2. So, we have [tex]\(2 \times 10 = 20\)[/tex].
Therefore, the evaluated result of the expression [tex]\(2|-x|\)[/tex] at [tex]\(x = 10\)[/tex] is 20.
1. Substitute the value of [tex]\(x\)[/tex]: Given [tex]\(x = 10\)[/tex], substitute it into the expression to get [tex]\(2|-(10)|\)[/tex].
2. Simplify the expression inside the absolute value: The expression inside the absolute value is [tex]\(-10\)[/tex].
3. Find the absolute value: The absolute value [tex]\(|-10|\)[/tex] is 10 because the absolute value of a number is its distance from zero on a number line, which is always non-negative.
4. Multiply by 2: Finally, multiply the result of the absolute value by 2. So, we have [tex]\(2 \times 10 = 20\)[/tex].
Therefore, the evaluated result of the expression [tex]\(2|-x|\)[/tex] at [tex]\(x = 10\)[/tex] is 20.
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