Answer: Choice C) [tex]\sqrt{85} \text{ units}[/tex]
Work Shown:
B = (4,3)
D = (-2,-4)
Use the distance formula to get:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-(-2))^2 + (3-(-4))^2}\\\\d = \sqrt{(4+2)^2 + (3+4)^2}\\\\d = \sqrt{(6)^2 + (7)^2}\\\\d = \sqrt{36 + 49}\\\\d = \sqrt{85}\\\\d \approx 9.21954446\\\\[/tex]
You can also use the pythagorean theorem as a slight alternative method.