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Can someone help? I don't know where to start...

 

\(|-4+\frac{7}{6} i|\)

 Dec 10, 2020

Best Answer 

 #1
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Simplify the following:
abs((7 i)/6 - 4)

Put each term in (7 i)/6 - 4 over the common denominator 6: (7 i)/6 - 4 = (7 i)/6 - 24/6:
abs((7 i)/6 - 24/6)

(7 i)/6 - 24/6 = (7 i - 24)/6:
abs((7 i - 24)/6)

abs(1/6 (7 i - 24)) = abs(7 i - 24)/6:
abs(7 i - 24)/6

abs(7 i - 24) = sqrt(Re(7 i - 24)^2 + Im(7 i - 24)^2) = sqrt((-24)^2 + 7^2):
(sqrt((-24)^2 + 7^2))/6
(sqrt(576 + 7^2))/6


=25/6

 Dec 10, 2020
 #1
avatar
+1
Best Answer

Simplify the following:
abs((7 i)/6 - 4)

Put each term in (7 i)/6 - 4 over the common denominator 6: (7 i)/6 - 4 = (7 i)/6 - 24/6:
abs((7 i)/6 - 24/6)

(7 i)/6 - 24/6 = (7 i - 24)/6:
abs((7 i - 24)/6)

abs(1/6 (7 i - 24)) = abs(7 i - 24)/6:
abs(7 i - 24)/6

abs(7 i - 24) = sqrt(Re(7 i - 24)^2 + Im(7 i - 24)^2) = sqrt((-24)^2 + 7^2):
(sqrt((-24)^2 + 7^2))/6
(sqrt(576 + 7^2))/6


=25/6

Guest Dec 10, 2020

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