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The length of XY, using the distance formula, is approximately: 11.7 units.
<h3>How to Apply the distance Formula to Find the Length of a Segment?</h3>The distance formula given to find the distance between two points or the length of a segment, is given as: .
We are given the coordinates of the endpoints of the line segment as follows:
X(-7, 10) and Y(3, 4).
Let (x1, y1) represent X(-7, 10)
Let (x2, y2) represent Y(3, 4)
Plug in the values of the coordinates of the endpoints into the distance formula:
XY = √[(3−(−7))² + (4−10)²]
XY = √[(10)² + (−6)²]
XY = √(100 + 36)
XY = √136
XY ≈ 11.7 units
Thus, the length of XY, using the distance formula, is approximately calculated as: 11.7 units.
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