Question

What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.

Answer 1

Given:

The two points on a coordinate plane are C(-5,-1) and D(0,3).

To find:

The distance between C and D.

Solution:

Distance formula:

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

Using the distance formula, the distance between C(-5,-1) and D(0,3) is

$CD=\sqrt{(0-(-5))^2+(3-(-1))^2}$

$CD=\sqrt{(0+5)^2+(3+1)^2}$

$CD=\sqrt{(5)^2+(4)^2}$

$CD=\sqrt{25+16}$

On further simplification, we get

$CD=\sqrt{41}$

$CD=6.40312424$

$CD\approx 6.40$

Therefore, the distance between C and D is 6.40 units.