Answer:
[tex]distance=\sqrt{85} =9.22[/tex]
Step-by-step explanation:
We can use the general distance formula between any two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] on the plane given by:
[tex]distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]
We simply identify [tex](x_1,y_1)[/tex] with (0, 4) and [tex](x_2,y_2)[/tex] with (-6, -3) , thus obtaining:
[tex]distance=\sqrt{(-6-0)^2+(-3-4)^2}\\distance=\sqrt{(-6)^2+(-7)^2} \\distance=\sqrt{36+49} \\distance=\sqrt{85} =9.22[/tex]
