Question

Determine the distance between points B and D. Round to the nearest hundredth if necessary.

Answer 1

10.44

Explanation:

Let point B be
`(x_1,y_1)=(-3,6)` and point D be
`(x_2,y_2)=(0,-4)`. By the distance formula:

`d=√((x_2-x_1)^2+(y_2-y_1)^2)\\d=√((0-(-3))^2+(-4-6)^2)\\d=√(3^2+(-10)^2)\\d=√(9+100)\\d=√(109)\\d\approx10.44`

Therefore, the distance between points B and D is about 10.44 units.