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In the coronet plane, what is the length of the line segment that connects points at (5, 4) and (-3, -1)? Enter your answer in the box. Round to the nearest hundredth. ___units

Respuesta :

gmany

Answer:

9.43

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points (5, 4) and (-3, -1). Substitute:

[tex]d=\sqrt{(-3-5)^2+(-1-4)^2}=\sqrt{(-8)^2+(-5)^2}=\sqrt{64+25}=\sqrt{89}\approx9.43[/tex]