Question

Look at points C and D on the graph:

Coordinate grid shown from negative 6 to positive 6 in increments of 1 on both the axes. A line is drawn by connecting point C at negative 2, 0 and point D at 2, 4.

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

2.83 units
4.00 units
5.66 units
8.00 units

Answer 1

5.66 is the answer
....................................................................................

Answer 2

The correct option is 3.

Explanation:

The distance between two points
`(x_1,y_1)\text{ and }(x_2,y_2)`is

`d=√((x_2-x_1)^2+(y_2-y_1)^2)`

From the given figure it is clear that the coordinates of C are (-2,0) and the coordinates of D are (2,4).

Using distance formula we get

`CD=√((2-(-2))^2+(4-0)^2)`

`CD=√((4)^2+(4)^2)`

`CD=√(16+16)`

`CD=√(32)`

`CD=5.65685424949`

`CD\approx 5.66`

The distance between C and D is 5.66 units. Therefore the correct option is c.