Answer:
[tex]\sqrt{85}[/tex]
Explanation:
Given:
B is at (4,3) and D is at (-2,-4).
Solution:
[tex]B(4^{x1} ,3^{y1} )[/tex] [tex]D ( -2^{x2} ,-4^{y2} )[/tex] [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]BD=\sqrt{(-2-4)^2+(-4-3)^2}[/tex]⇒ [tex]BD =\sqrt{(-6)^2+(-7)^2}[/tex]
[tex]BD =\sqrt{36+49}[/tex] ⇒[tex]BD =\sqrt{85}[/tex]
Therefore the answer is [tex]\sqrt{85}[/tex]
