Question

Find the distance between the two points in simplest radical form. (1,-1) (2,-5)

Answer 1

If the points are (1,-1) ,(2,-5) then the distance between two points be $\sqrt{17}$.

Given two points be (1,-1) and (2,-5).

We are required to find the distance between (1,-1) and (2,-5).

Distance is basically a numerical measurement of how far apart objects or points are. We can also find the distance between two points and the distance between things. We can also find the distance between two countries,states ,  union territories,etc.

Distance between $(x_{1} ,y_{1} ), (x_{2} ,y_{2} )$ is equal to $\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} _)^{2} }$.

Distance=$\sqrt{(2-1)^{2} +(-5+1)^{2} }$

=$\sqrt{1^{2} +(-4)^{2} }$

=$\sqrt{1+16}$

=$\sqrt{17}$

Hence if the points are (1,-1) ,(2,-5) then the distance between two points be $\sqrt{17}$.

Learn more about distance at brainly.com/question/26046491

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