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line segment xy has endpoints at x(2, -3) and y(-1, 2). what is the length of xy

Respuesta :

crisforp
The length of xy = [tex] \sqrt{ (-1-2)^{2} + (2+3)^{2} } = \sqrt{ (-3)^{2} + 5^{2} } = \sqrt{9+25} = \sqrt{34} ;[/tex]

Using distance formula, the length of xy is √34

How to find length using distance formula?

Using distance formula, the length of xy can be found as follows:

d = √(x₂ - x₁)²+(y₂ - y₁)²

Therefore,

x(2, -3) and y(-1, 2).

d = √(-1 - 2)²+(2 +3)²

d = √(-3)² + (5)²

d = √9 + 25

d = √34

Hence, the length of xy is √34.

learn more on distance formula here: https://brainly.com/question/11340836

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