Verified Answer :

Use distance formula; \(d = \sqrt{(x_1-x_2)^2 + (y_1 - y_2)^2}\)

You have \(x_1 = -4\), \(x_2 = 10\), \(y_1 = 6\), and lastly \(y_2 = -5\)

Plug in these values;

\(d = \sqrt{(-4-10)^2 + (6 - (-5))^2}\)
\(d = \sqrt{(-14)^2 + (6 +5))^2}\)
\(d = \sqrt{14^2 + 11^2}\)
\(d = \sqrt{317}\)
\(d=17.8044938\ldots\)
\(d \approx \boxed{17.8}\)