A line segment has endpoints (0, 5) and (6, 5). After the line segment is reflected across the x-axis how long will it be
The length of a line segment is equal to the distance between its endpoints. In this case, the endpoints of the line segment are (0, 5) and (6, 5).
To find the distance between these points, we use the distance formula, which is:
Distance = √((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates of the endpoints, we can plug them into the formula:
Distance = √((6 - 0)^2 + (5 - 5)^2)
= √(6^2 + 0^2)
= √(36 + 0)
= √36
= 6
So, the length of the line segment is 6 units after it is reflected across the x-axis.