The answer is 27 but I am not sure I hope my calculations ain't wrong
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
Answer:
17 km/h
Step-by-step explanation:
52:3=17.3≈17 km/hour
Answer:
Step-by-step explanation:
Given
per hour for 40 hours, weekly
per hour over 40 hours, weekly
Required
Determine f(x)
From the question, we have that
x represents hours worked
Earnings in 40 hours is: 40 * 10 = $400
Hours over 40 will be: x - 40
So, earnings during this time will be: (x - 40) * 15
Total earnings is:
