Question

Add the complex numbers.

(5+2i) + (12−5i)
(
5
+
2
𝑖
)

+

(
12
−
5
𝑖
)

(1 point)
Responses

7+7i
7
+
7
𝑖
7 plus 7 i

7−3i
7
−
3
𝑖
7 minus 3 i

17+7i
17
+
7
𝑖
17 plus 7 i

17−3i

Answer 1

To add the complex numbers \( (5 + 2i) \) and \( (12 - 5i) \), you combine the real parts and the imaginary parts separately.

1. Add the real parts:
\[
5 + 12 = 17
\]

2. Add the imaginary parts:
\[
2i - 5i = -3i
\]

Now, combine the results:
\[
(5 + 2i) + (12 - 5i) = 17 - 3i
\]

Thus, the result of the addition is \( 17 - 3i \).

The correct response is:
**17−3i**