Subtract the complex numbers (2, 5) and (3, -2). Is the imaginary part of the first number -y?

April 7, 2026Mathematics

ScanSolve AI Answer

April 7, 2026

Answer

-1 + (5 + 2)i = -1 + 7i$.

Here are the solutions to the questions:

Question 1: The complex number $z = (x, y)$ is written as $z = x + iy$ . The real part is $x$ and the imaginary part is $y$ . The statement says the imaginary part is $(-y)$ . This is incorrect. Answer: Incorrect

Question 2: Given the operation $(2, 5) - (3, -2)$ . This can be written as $(2 + 5i) - (3 - 2i)$ . Subtract the real parts and the imaginary parts: $(2 - 3) + (5 - (-2))i = -1 + (5 + 2)i = -1 + 7i$ . In coordinate

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Question 1: The complex number z = (x, y) is written as z = x + iy. The real part is x and the imaginary part is y.

Asked on April 7, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on April 7, 2026

Here are the solutions to the questions: Question 1: The complex number z = (x, y) is written as z = x + iy. The real part is x and the imaginary part is y. The statement says the imaginary part is (-y). This is incorrect. Answer: Incorrect Question 2: Given the operation (2, 5) - (3, -2). This can be written as (2 + 5i) - (3 - 2i). Subtract the real parts and the imaginary parts: (2 - 3) + (5 - (-2))i = -1 + (5 + 2)i = -1 + 7i. In coordinate