Question

Find the distance between these points. C(0, 4), T(-6, -3)

Answer 1

Answer:

$distance=\sqrt{85} =9.22$

Step-by-step explanation:

We can use the general distance formula between any two points $(x_1,y_1)$ and $(x_2,y_2)$ on the plane given by:

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

We simply identify $(x_1,y_1)$  with (0, 4)  and  $(x_2,y_2)$  with  (-6, -3) , thus obtaining:

$distance=\sqrt{(-6-0)^2+(-3-4)^2}\\distance=\sqrt{(-6)^2+(-7)^2} \\distance=\sqrt{36+49} \\distance=\sqrt{85} =9.22$