Question

Use the distance formula to find the distance between the points (-3,8) and (-4,-1). Round to the nearest hundredth if necessary.

Answer 1

Answer:

9.06

Step-by-step explanation:

The formula of a distance between two points:

$\boxed{d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}$

We have the points (-3, 8) and (-4, -1). Substitute:

$d=\sqrt{(-4-(-3))^2+(-1-8)^2}=\sqrt{(-1)^2+(-9)^2}=\sqrt{1+81}=\sqrt{82}\\\\\sqrt{82}\approx9.06$