Asked by Robert
George calculated the distance between (2, 4) and (6, 3) using the distance formula. His work is shown below.
1. d = StartRoot (6 minus 2) squared + (3 minus 4) squared EndRoot. 2. d = StartRoot (4) squared + (negative 1) squared EndRoot. 3. d = StartRoot 16 + 1 EndRoot. 4. d = StartRoot 17 EndRoot
Analyze George’s work. Is he correct? If not, what was his mistake?
Yes, he is correct.
No, he substituted values in the wrong places.
No, he didn’t use the proper order of operations.
No, he evaluated the powers incorrectly.
All Answers 1
Answered by
GPT-5 mini
AI
Yes, he is correct.
His substitution and arithmetic are all correct: (6−2) = 4, (3−4) = −1, and 4^2 = 16, (−1)^2 = 1, so the distance is sqrt(16+1) = sqrt(17).
His substitution and arithmetic are all correct: (6−2) = 4, (3−4) = −1, and 4^2 = 16, (−1)^2 = 1, so the distance is sqrt(16+1) = sqrt(17).
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