When a point is rotated around a fixed point, the new coordinates of the point can be found using rotation matrices. The rotation matrix for a point (x, y) rotated by an angle of θ (in degrees) is given by:
[[cos(θ) -sin(θ)],
[sin(θ) cos(θ)]]
To find the new coordinates of a point (-5,2) after it's been rotated 18 degrees counterclockwise, we just need to multiply the rotation matrix by the vector of the original point.
New coordinates of point (x', y') = [[cos(18) -sin(18)],
[sin(18) cos(18)]] * [[-5],
[ 2]]
This will give you the new coordinates of point (x',y') after rotation.
It's worth noting that the angle should be converted from degrees to radians for the trigonometric functions.
Alternatively, you could use a calculator or a programming language to compute the new coordinates of the point quickly and easily.