Respuesta :

Answer: 19.42

Step-by-step explanation:

To find the distance, we need to use the distance formula.

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

With the given points, we can plug them in and solve.

[tex]d=\sqrt{(7-3)^2+(-11-8)^2}[/tex]          [parenthesis]

[tex]d=\sqrt{(4)^2+(-19)^2}[/tex]                       [exponent]

[tex]d=\sqrt{16+361}[/tex]                               [add]

[tex]d=\sqrt{377}[/tex]                                       [square root]

[tex]d=19.42[/tex]

Now, we know the distance is 19.42.