Final answer:
To dilate a point, we multiply each coordinate by the dilation factor. In this case, the new coordinate after the dilation of (12, 10) by a factor of 3 is (36, 30).
Step-by-step explanation:
To find the new coordinates after a dilation, we multiply each coordinate of the original point by the dilation factor. In this case, the dilation factor is 3. So, multiplying the x-coordinate (12) by 3 gives us the new x-coordinate, which is 36. Multiplying the y-coordinate (10) by 3 gives us the new y-coordinate, which is 30. Therefore, the new coordinate after the dilation is (36, 30).