Question

find the distance between (-4, 5) and (7, 18). 17.03 16.08 16.23 15.96

Explanation:

Step1: Recall distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$.

Step2: Identify the points

Here $x_1=-4,y_1 = 5,x_2=7,y_2 = 18$.

Step3: Substitute values

$d=\sqrt{(7-(-4))^2+(18 - 5)^2}=\sqrt{(7 + 4)^2+(18 - 5)^2}=\sqrt{11^2+13^2}=\sqrt{121 + 169}=\sqrt{290}\approx17.03$.

Answer:

17.03