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Which expression can be used to determine the length of segment AB? On a coordinate plane, triangle A B C has points (4, 3), (negative 2, 1), (negative 2, 3). StartRoot 2 squared + 6 squared EndRoot StartRoot 2 squared minus 6 squared EndRoot StartRoot 6 squared minus 2 squared EndRoot StartRoot (2 + 6) squared EndRoot

Respuesta :

calculista

Answer:

StartRoot 2 squared + 6 squared EndRoot

Step-by-step explanation:

we have

A(4,3) and B(-2,1)

we know that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

substitute the given values

[tex]AB=\sqrt{(1-3)^{2}+(-2-4)^{2}}[/tex]

[tex]AB=\sqrt{(-2)^{2}+(-6)^{2}}[/tex]

[tex]AB=\sqrt{40}\ units[/tex]

therefore

StartRoot 2 squared + 6 squared EndRoot

Answer:

A

Step-by-step explanation:

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