What is true about the complex number -5 - 5i? Check all that apply.
A. It lies in quadrant 2.
B. It lies in quadrant 3.
C. The modulus is 5.
D. The modulus is .
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OpenStudy (anonymous):
Any idea?
OpenStudy (anonymous):
absolutely not... @OOOPS
OpenStudy (anonymous):
oh D should read "the modulus is 5 Root2"
OpenStudy (anonymous):
Is it B and D @OOOPS
OpenStudy (danjs):
The modulus is the distance from the origin right?
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OpenStudy (anonymous):
just one is correct, choose
OpenStudy (danjs):
so the modulus is
\[\sqrt{5^2 + 5^2}\]
OpenStudy (anonymous):
I can check all that apply.
OpenStudy (anonymous):
but to this problem, only one is correct
OpenStudy (danjs):
you move -5 on the real axis and -5 on the imaginary axis, that is a triangle with legs 5 and 5, the hypotenuse is the distance from the origin and the modulus
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OpenStudy (danjs):
square root of 50 is the modulus
OpenStudy (danjs):
or 5 root 2
OpenStudy (danjs):
|dw:1419807880772:dw|
OpenStudy (danjs):
and that is quadrant 3
OpenStudy (anonymous):
just jot it down, you can see everything, oh, Dan did. :)
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