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OpenStudy (anonymous):
If f(x) = 1 – x, which value is equivalent to |f(i)|? options are:
A.0
B.1
C. √2
D. √-1
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OpenStudy (freckles):
\[|a+bi|=\sqrt{a^2+b^2}\]
OpenStudy (chrisdbest):
B should be the closest
OpenStudy (freckles):
it actually isn't B
OpenStudy (chrisdbest):
Bcuz i = sqrt -1, and the absolut value of a negative number is a positive number
OpenStudy (freckles):
\[f(i)=1-i \\ |f(i)|=|1-i|=?\]
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OpenStudy (anonymous):
sorry guys but im still in the blue here ahahah
OpenStudy (chrisdbest):
Oh so its A!!!
OpenStudy (freckles):
\[|1-i|=\sqrt{1^2+1^2}=?\]
OpenStudy (chrisdbest):
Cuz 1 - 1 = 0!
OpenStudy (chrisdbest):
Bam!! Medal me please
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OpenStudy (freckles):
or if you wanted to look at it as
\[\sqrt{1^2+(-1)^2} \text{ instead of } \sqrt{1^2+1^2}\]
OpenStudy (anonymous):
ayyyy lmao
OpenStudy (freckles):
all I'm asking you to do is do the 1+1 underneath the radical
OpenStudy (freckles):
\[|a+bi|=\sqrt{a^2+b^2} \ \\ \text{ and you have } \\ |1+-1i|=\sqrt{1^2+(-1)^2}=\sqrt{1^2+1^2}=?\]
can you finish this ?
OpenStudy (anonymous):
OOOOOOOO THANKS MAN LMAO I DONT KNOW HOW I DIDNT SEE THAT ahha its √2
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OpenStudy (freckles):
yep :)
OpenStudy (chrisdbest):
Dang I didn't even see that answer choice. I'm Dyslexic, I thought it said \[\sqrt{21}\]
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