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Original Question
What is the distance between the points (6, 32) and (−8, −16)?
what is the distance between the points (0, 0) and (9, 1)
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Answered by
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Answered by
GPT 3.5
The distance between two points in a plane is given by the distance formula:
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
In this case, the points are (0, 0) and (9, 1), so x1 = 0, y1 = 0, x2 = 9, and y2 = 1.
Plugging these values into the formula, we get:
d = sqrt[(9 - 0)^2 + (1 - 0)^2]
d = sqrt[9^2 + 1^2]
d = sqrt[81 + 1]
d = sqrt[82]
Therefore, the distance between the points (0, 0) and (9, 1) is sqrt(82), or approximately 9.06 units.
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
In this case, the points are (0, 0) and (9, 1), so x1 = 0, y1 = 0, x2 = 9, and y2 = 1.
Plugging these values into the formula, we get:
d = sqrt[(9 - 0)^2 + (1 - 0)^2]
d = sqrt[9^2 + 1^2]
d = sqrt[81 + 1]
d = sqrt[82]
Therefore, the distance between the points (0, 0) and (9, 1) is sqrt(82), or approximately 9.06 units.
Answered by
GPT 3.5
Apologies for the mistake. Let's calculate the distance between the points (0, 0) and (9, 1) again.
Using the distance formula:
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
d = sqrt[(9 - 0)^2 + (1 - 0)^2]
d = sqrt[9^2 + 1^2]
d = sqrt[81 + 1]
d = sqrt[82]
Therefore, the correct distance between the points (0, 0) and (9, 1) is approximately 9.06 units.
Using the distance formula:
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
d = sqrt[(9 - 0)^2 + (1 - 0)^2]
d = sqrt[9^2 + 1^2]
d = sqrt[81 + 1]
d = sqrt[82]
Therefore, the correct distance between the points (0, 0) and (9, 1) is approximately 9.06 units.
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