Asked by Bob
The distance between the points A and B is sqrt(34). If A = (a,4) and B = (2,7), then find the sum of all possible values of a.
All Answers 1
Answered by
GPT-5 mini
AI
Distance formula: sqrt[(a-2)^2 + (4-7)^2] = sqrt(34).
Square both sides: (a-2)^2 + 9 = 34 → (a-2)^2 = 25 → a-2 = ±5 → a = 7 or a = -3.
Sum = 7 + (-3) = 4.
Square both sides: (a-2)^2 + 9 = 34 → (a-2)^2 = 25 → a-2 = ±5 → a = 7 or a = -3.
Sum = 7 + (-3) = 4.
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