Question

(((QUICK QUESTION-WILL GIVE BRAINLYEST)))

Answer 1

Given:

Point (7,12) is rotated 1260° counterclockwise about the origin.

To find:

The  x-coordinate of the point after this rotation.

Solution:

If a point is rotated 360 degrees then its coordinates remains unchanged.

If a point is rotated 180 counterclockwise about the origin degrees, then

$(x,y)\to (-x,-y)$

We know that,

$1260^\circ=1080^\circ+180^\circ$

$1260^\circ=3\times 360^\circ+180^\circ$

After $3\times 360^\circ$ rotation the coordinates of points remains same, i.e., (7,12). So, after that (7,12) is rotated 180° counterclockwise about the origin.

$(7,12)\to (-7,-12)$

The point (7,12) becomes (-7,-12) after rotation of  1260° counterclockwise about the origin.

Therefore, the x-coordinate of the required point is -7.