Respuesta :

Answer:

Radical 34

Step-by-step explanation:

The length of AB with endpoints [tex]A(-1,0)[/tex] and [tex]B(4,-3)[/tex] is [tex]\sqrt{34}[/tex]

What is length?

"Length is defined as the measurement or extent of something from end to end. In other words, it is the larger of the two or the highest of three dimensions of geometrical shapes or objects."

Formula to find the length is

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

Substitute the given values in the formula

[tex]AB=\sqrt{(-3-0)^{2}+(4+1)^{2} } \\AB=\sqrt{(-3)^{2} +(5)^{2} }\\ AB=\sqrt{34}[/tex]


Hence, [tex]AB=\sqrt{34}[/tex]

To learn more about length here

https://brainly.com/question/18876903

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