'给出肯定的回答',英文怎么说?

I gave a definite answer after careful consideration
有点不明白你这个肯定是与否定相对还是与不确定相对。如果是与否定相对那应该是positive,如果是与不确定相对则应该是definite.

I gave a positive answer.
I gave a definite answer after careful consideration
I made a final answer after serious consideration.

I made a final answer after serious consideration.

I come up with a confirmed answer after serious consideration.

What I want to talk is, i gave you a definite answer after my serious consideration.

after a long period of thinking, i gave him/ her my answer
或者 i wrote down the answer
看你是手写还是说