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Find the distance between the points (-1,-2) and (5,2). Simplified radical form.


Sagot :

Answer:

2[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Using the distance formula,

[tex]\sqrt{( x_{2}-x_{1} )^2+(y_{2} -y_{1})^2 }[/tex]

We just need to plug in the numbers.

So [tex]\sqrt{(-1-5)^2+(-2-2)^2}[/tex]

Then we simplify it to

[tex]\sqrt{(-6)^2+(-4)^2} , to \sqrt{36+16}[/tex]

Finally, we get

[tex]\sqrt{52}[/tex], which is [tex]2\sqrt{13}[/tex] when simplified.