Question

The point Q (-5, - 9)is rotated - 270° about the origin. Select the location of Q'. (1 point)
O Q' (9,-5)
• Q'(9,5)
O Q'(5,9)
O Q'(-5,9)

Answer 1

Can u give the most accurate answer

Answer 2

To rotate the point Q(-5, -9) by -270° (which is equivalent to a 90° clockwise rotation) around the origin, we can use the rotation formula for a 90° clockwise rotation:

If you have a point (x, y), after a 90° clockwise rotation, the new coordinates (x', y') will be:
\[ (x', y') = (y, -x) \]

For the point Q(-5, -9):
- x = -5
- y = -9

Applying the rotation formula:
- x' = y = -9
- y' = -x = -(-5) = 5

Therefore, the new coordinates after the rotation are Q'(-9, 5).

However, to find the answer that is presented in the choices:
We can check the available options against the calculated point:

- Q' (9, -5)
- Q' (9, 5)
- Q' (5, 9)
- Q' (-5, 9)

None of these options seem to match the calculated Q'(-9, 5). Thus, make sure to double-check for any possible mistakes; however, based on the calculation, the result for Q after a -270° rotation (i.e., 90° clockwise) should indeed be Q'(-9, 5).

If you understand the concept and have the finalized coordinates, please clarify or adjust, as it seems there may have been a mismatch in the calculation versus the options presented.

Answer 3

To rotate the point Q (-5, -9) by -270° (which is equivalent to a 90° clockwise rotation), here's how to perform the calculation accurately:

1. **Understanding the rotation rule for -90° (90° clockwise):**
- The transformation of the coordinates (x, y) after a 90° clockwise rotation is given by:
\[
(x', y') = (y, -x)
\]

2. **Applying the rotation to point Q (-5, -9):**
- Given \( x = -5 \) and \( y = -9 \):
\[
x' = y = -9
\]
\[
y' = -x = -(-5) = 5
\]

So, the new coordinates after rotating Q(-5, -9) by -270° are:
\[
Q'(-9, 5)
\]

Since this point does not match any of the options listed:

- Q' (9, -5)
- Q' (9, 5)
- Q' (5, 9)
- Q' (-5, 9)

We can see that there were no options provided that fit the calculated point Q'(-9, 5).

If I were to choose the most relevant answer based on the options provided and the rotation outcome:
- None of the listed options are correct.

So based on the given rotation of the point, the accurate answer (Q' after rotation) is **(-9, 5)**, which does not appear among the options. If you have a specific intention for the answer based on proximity or alternative means, please clarify that need, but the computation here remains mathematically appropriate.