Respuesta :

Answer:

8.7

Step-by-step explanation:

distance formula

Answer:

\sqrt{68}

Step-by-step explanation:

Using the distance formula, you can find that the distance between these two points is:

[tex]\sqrt{(5-(-3))^2+(-2-(-4))^2}=\\\\\sqrt{(5+3)^2(-2+4)^2}=\\\\\sqrt{8^2+2^2}=\sqrt{64+4}=\\\\\boxed{\sqrt{68}}[/tex]

This is based on the Pythagorean Theorem, since you can imagine making a right triangle between these two points and the distance between them being the hypotenuse. Hope this helps!

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