Question

Find the distance between these points.

C(0, 4), T(-6, -3)

√(37)
√(85)
√(109)

Answer 1

√85

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=√(85)`

Explanation:

The formula to find the distance between two points is:

`d=√((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=√(((-6)-0)^2 + ((-3)-4)^2)`

`d=√((-6)^2 + (-7)^2)`

`d=√(36 + 49)`

`d=√(85)`