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What is the distance between the points (21, -30) and (3, 8)? If necessary, round your answer to two decimal places.

A.38 units
B.42.05 units
C.33.47 units
D.56 units

Respuesta :

gmany
The formula of the distance between two points:

[tex]A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\|AB|=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}[/tex]

We have:

[tex]A(21;-30);\ B(3;\ 8)[/tex]

Substitute:

[tex]|AB|=\sqrt{(8-(-30))^2+(3-21)^2}=\sqrt{38^2+(-18)^2}\\\\=\sqrt{1444+324}=\sqrt{1768}\approx42.05[/tex]

Answer: B. 42.05 units.

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