Question

Find the distance between these points.

Answer 1

Answer:

√85

Step-by-step explanation:

See image

Distance formula can be used to find the distance between two points.

$d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }$

Answer 2

Answer: Second option

$d=\sqrt{85}$

Step-by-step explanation:

The formula to find the distance between two points is:

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

In this problem the points are C(0, 4), T(-6, -3)

This is

$x_1=0\\\\x_2=-6\\\\y_1=4\\\\y_2=-3$

So the distance is:

$d=\sqrt{((-6)-0)^2 + ((-3)-4)^2}$

$d=\sqrt{(-6)^2 + (-7)^2}$

$d=\sqrt{36 + 49}$

$d=\sqrt{85}$