Final answer:
To get from -9 to 12, we need to add -13.
Step-by-step explanation:
To find what should be added to get -9 by 8 so as to get 12 by 16, we need to calculate the difference between the two pairs of numbers. First, subtract 8 from -9, which gives us -17. Then, subtract 16 from 12, which gives us -4. The difference between -17 and -4 is -13. Therefore, to get from -9 to 12, we need to add -13.
So, the correct answer is D. -4.