Question

Look at points C and D on the graph:

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


3.46 units
8.49 units
12.00 units
72.00 units

Answer 1

`√((x_2-x_1)^2+(y_2-y_1)^2)\\\\√((0-6)^2+(2-(-4))^2)\\\\√((-6)^2+6^2)\\\\√(36+36)\\\\√(72)\\\\\boxed{8.49}`

Answer 2

Answer: 8.9 units

Explanation:

From the given graph we can see the coordinates of C=(0,2)

The coordinates of D=(6,-4)

By using distance formula, we will find the distance between points C and D as:

CD=
`√((x_2-x_1)^2+(y_2-y_1)2)`

`=√((6-0)^2+(-4-2)^2)\\=√(6^2+(-6)^2)\\=√(36+36)\\=√(72)=6√(2)\\=6*1.4142=8.4852\approx8.9\text{ units}`