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 0, 2 and point D at 6, negative 4
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth. (5 points)
3.46 units
8.49 units
12.00 units
72.00 units
To find the distance between two points, we can use the distance formula:
d = √((x2 - x1)² + (y2 - y1)²)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
In this case, the coordinates of point C are (0, 2), and the coordinates of point D are (6, -4).
Using the formula, we can calculate the distance:
d = √((6 - 0)² + (-4 - 2)²)
= √(6² + (-6)²)
= √(36 + 36)
= √72
≈ 8.49
Therefore, the distance between points C and D is approximately 8.49 units.
The correct answer is:
8.49 units