A line containing the points (−2, 3) and (2, 3) is reflected across the x-axis. How long is the reflected line?
AAAaannndd the bot gets it wrong yet again!
the length does not change. Still 4.
To find the length of the reflected line, we need to first calculate the distance between the two points on the original line, and then double that distance.
Step 1: Calculate the distance between the points (-2, 3) and (2, 3) on the original line.
The distance formula between two points in a coordinate plane is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
In this case, the two points are (-2, 3) and (2, 3). Plugging in the values into the formula, we get:
d = √((2 - (-2))^2 + (3 - 3)^2)
= √((2 + 2)^2)
= √(4^2)
= √(16)
= 4
So, the distance between the two points on the original line is 4 units.
Step 2: Double the distance to find the length of the reflected line.
To reflect a line across the x-axis, the y-coordinates of the points are multiplied by -1, while keeping the x-coordinates the same. Since the distance is a scalar quantity and does not depend on the direction, we can simply double the distance.
Therefore, the length of the reflected line is 2 * 4 = 8 units.
To find the length of the reflected line, we need to find the distance between the two points after the reflection across the x-axis.
First, let's plot the given points on a graph. The points (−2, 3) and (2, 3) lie on a horizontal line.
Next, to reflect the line across the x-axis, we flip the y-coordinates of the points while keeping the x-coordinates unchanged. The reflection of (−2, 3) across the x-axis is (−2, -3), and the reflection of (2, 3) across the x-axis is (2, -3).
Now, we have the two points (-2, -3) and (2, -3) on the graph. To find the distance between these two points, we can use the distance formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Plugging in the coordinates, we have:
Distance = √[(2 - (-2))² + (-3 - (-3))²]
= √[(4)² + (0)²]
= √[16 + 0]
= √16
= 4
Therefore, the length of the reflected line is 4 units.
How bro, how has bot not been removed yet????
How does it do all this math and its answer is still wrong like wth...