Question

Find XY when X(-7, 10) and Y(3, 4).

Answer 1

The length of XY, using the distance formula, is approximately: 11.7 units.

How to Apply the distance Formula to Find the Length of a Segment?

The distance formula given to find the distance between two points or the length of a segment, is given as: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.

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.

Learn more about the distance formula on:

brainly.com/question/661229

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