Find the distance between the coordinate points A(2, 14) and B(10, 3). Round your answer to the nearest tenth. A graph representation of the points (2, 14) and (10, 3) for you to find the distance between.
a2+b2=c2
[Click Here if you would like to create a different visual] (although it is not needed to solve at all!)
(10 points)
The distance between the two points is
units.
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To find the distance between the points A(2, 14) and B(10, 3), we can use the distance formula:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the coordinates of the points, we get:
Distance = sqrt((10 - 2)^2 + (3 - 14)^2)
Distance = sqrt(8^2 + (-11)^2)
Distance = sqrt(64 + 121)
Distance = sqrt(185)
Rounded to the nearest tenth, the distance between the two points is approximately 13.6 units.
To find the distance between two points in coordinate geometry, you can use the distance formula:
Distance = √( (x2 - x1)^2 + (y2 - y1)^2 )
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
Let's calculate the distance using this formula:
(x1, y1) = (2, 14)
(x2, y2) = (10, 3)
Distance = √( (10 - 2)^2 + (3 - 14)^2 )
= √( 8^2 + (-11)^2 )
= √( 64 + 121 )
= √185
≈ 13.6 (rounded to the nearest tenth)
Therefore, the distance between the points A(2, 14) and B(10, 3) is approximately 13.6 units.
To find the distance between two coordinate points (x1, y1) and (x2, y2), you can use the distance formula:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, the coordinates of point A are (2, 14) and the coordinates of point B are (10, 3). Plugging these values into the formula, we get:
d = sqrt((10 - 2)^2 + (3 - 14)^2)
= sqrt(8^2 + (-11)^2)
= sqrt(64 + 121)
= sqrt(185)
≈ 13.6 (rounded to the nearest tenth)
Therefore, the distance between points A(2, 14) and B(10, 3) is approximately 13.6 units.