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:
$69.60
Step-by-step explanation:
A gym membership is offered in January for $29.00 per month.
Monthly payment:
Upfront payment:
If you pay upfront for the year you save 20% discount, then you'll save 20% of $348 that is
Answer:
1,092 miles
Step-by-step explanation:
There are 365 days in a year. Subtract 1 day because of her birthday. So what you're going to do is multiply 3 times 364 which equals 1,092.
So Kerry runs 1,092 miles each year.
Answer:
The answer is, the center is (7,6) and the radius 3 soo, you would count three from the center to the arc( outer line and then if its three than ur good. proven in khan academy don't worry
Step-by-step explanation:
XD finally no more schoooooolllllllll baaaabbyyyyyy
Need more info, also correct grammar
