+505 Can someone help? I don't know where to start...
\(|-4+\frac{7}{6} i|\)
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
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
