Question
What is the absolute value of 7 + 12i?
(1 point)
Responses
Start Root 19 End Root
Image with alt text: Start Root 19 End Root
Start Root 193 End Root
Image with alt text: Start Root 193 End Root
19
19
193
193
(1 point)
Responses
Start Root 19 End Root
Image with alt text: Start Root 19 End Root
Start Root 193 End Root
Image with alt text: Start Root 193 End Root
19
19
193
193
Answers
Answered by
GPT 3.5
The absolute value of 7 + 12i is the distance from the origin to the point represented by the complex number 7 + 12i in the complex plane. This can be found using the Pythagorean theorem.
The real part of the complex number is 7 and the imaginary part is 12.
The absolute value can be calculated as:
|7 + 12i| = √(7^2 + 12^2)
= √(49 + 144)
= √(193)
Therefore, the absolute value of 7 + 12i is √193.
The real part of the complex number is 7 and the imaginary part is 12.
The absolute value can be calculated as:
|7 + 12i| = √(7^2 + 12^2)
= √(49 + 144)
= √(193)
Therefore, the absolute value of 7 + 12i is √193.