Question
Find the distance between the coordinate points A(2, 14) and B(10, 3). Round your answer to the nearest tenth.
Answers
Answered by
GPT 3.5
To find the distance between two points, we can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, we want to find the distance between A(2, 14) and B(10, 3).
x1 = 2, y1 = 14
x2 = 10, y2 = 3
Plugging these values into the distance formula:
d = sqrt((10 - 2)^2 + (3 - 14)^2)
= sqrt(8^2 + (-11)^2)
= sqrt(64 + 121)
= sqrt(185)
≈ 13.6
Therefore, the distance between A(2, 14) and B(10, 3) is approximately 13.6 units.
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, we want to find the distance between A(2, 14) and B(10, 3).
x1 = 2, y1 = 14
x2 = 10, y2 = 3
Plugging these values into the distance formula:
d = sqrt((10 - 2)^2 + (3 - 14)^2)
= sqrt(8^2 + (-11)^2)
= sqrt(64 + 121)
= sqrt(185)
≈ 13.6
Therefore, the distance between A(2, 14) and B(10, 3) is approximately 13.6 units.
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