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Which expression could represent the distance between Mia's home and Kurt's home? A. vert -9vert B. vert -5vert C. 1101 D. vert 11vert

Pergunta

Which expression could represent the distance between Mia's home and Kurt's home?
A. vert -9vert 
B. vert -5vert 
C. 1101
D. vert 11vert

Which expression could represent the distance between Mia's home and Kurt's home? A. vert -9vert B. vert -5vert C. 1101 D. vert 11vert

Solução

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To determine which expression could represent the distance between Mia's home and Kurt's home, we need to understand the concept of absolute value.<br /><br />The absolute value of a number is the distance of that number from zero on the number line. It is always a positive number or zero.<br /><br />Let's analyze each option:<br /><br />A. $\vert -9\vert $: The absolute value of -9 is 9. This could represent the distance between Mia's home and Kurt's home if the distance is 9 units.<br /><br />B. $\vert -5\vert $: The absolute value of -5 is 5. This could represent the distance between Mia's home and Kurt's home if the distance is 5 units.<br /><br />C. 1101: This is a positive number, but it does not represent the absolute value of any number. It cannot represent the distance between Mia's home and Kurt's home.<br /><br />D. $\vert 11\vert $: The absolute value of 11 is 11. This could represent the distance between Mia's home and Kurt's home if the distance is 11 units.<br /><br />Based on the analysis, the correct answer is:<br /><br />D. $\vert 11\vert $
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