What are the coordinates of the image of the point P(4,25) under R-o, 180*-, where O is the origin?

To find the image of a point under a rotation of 180 degrees about the origin, you can use the following steps:

1. Determine the negative of the coordinates of the point P. Since P(4,25), the negative of P would be (-4,-25).

2. Apply the rotation of 180 degrees by switching the signs of the negative coordinates. So, the image of P(-4,-25) under the 180 degrees rotation about the origin is (4,25).

Therefore, the coordinates of the image of the point P(4,25) under the rotation R-o, 180*- are (4,25).