Question

Find the distance between (–2, –3) and (–6, –12). Round the answer to the nearest hundredth, if necessary.

Answer 1

Correct answer is A.

$A(-2,-3),B(-6,-12) \\d(A,B)= \sqrt{(-6-(-2))^2+(-12-(-3))^2} \\d(A,B)= \sqrt{(-6+2)^2+(-12+3)^2} \\d(A,B)= \sqrt{(-4)^2+(-9)^2} \\d(A,B)= \sqrt{16+81} \\d(A,B)= \sqrt{97} \\d(A,B) \approx 9.85$

Answer 2

The answer is A 9.85