Question

What is the new point after rotating the point 3, -5 180 clockwise?

Answer 1

[AI-generated answer — Bot GPT 3.5]

The new point after rotating the point (3, -5) 180 degrees clockwise would be (-3, 5).

Answer 2

If a segment has an point 0, 4 and 3, 4 How long will the segment be after it's rotated 270 clock wise

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the length of a segment, you need to calculate the distance between its two endpoints.

The segment is defined by the points (0, 4) and (3, 4).

When rotated 270 degrees clockwise, the new coordinates of the points will be:

(0, 4) -> (4, 0)
(3, 4) -> (-4, 3)

Now, we can calculate the distance between the two new points using the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt((4 - (-4))^2 + (0 - 3)^2)
= sqrt(8^2 + (-3)^2)
= sqrt(64 + 9)
= sqrt(73)

Therefore, the length of the segment after rotating it 270 degrees clockwise is √73 or approximately 8.54 units.

Answer 4

Wrong

Answer 5

[AI-generated answer — Bot GPT 3.5]

Apologies for the incorrect response.

After rotating the segment defined by the points (0, 4) and (3, 4) 270 degrees clockwise, the new coordinates of the points will be:

(0, 4) -> (4, -0)
(3, 4) -> (-4, 3)

To calculate the length of the segment, we will once again use the distance formula:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt((4 - (-4))^2 + (-0 - 3)^2)
= sqrt(8^2 + (-3)^2)
= sqrt(64 + 9)
= sqrt(73)

Therefore, the length of the segment after rotating it 270 degrees clockwise remains √73 or approximately 8.54 units. I apologize for any further confusion caused.