Final answer:
The image of (4, 10) under a dilation with center O and scale factor 0.5 has coordinates (2, 5).
Step-by-step explanation:
Given a dilation with center O and a scale factor of 0.5, we need to find the image of the point (4, 10) under this dilation.
A dilation with a scale factor of 0.5 means that the image will be half the distance from the center as the original point.
So the x-coordinate of the image is 4 * 0.5 = 2, and the y-coordinate is 10 * 0.5 = 5. Therefore, the coordinates of the image are (2, 5).