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:
This a 45 degree angle
Step-by-step explanation:
53-49=4
4 times 12=48. the unknown number is 48
To do that you should put it in slope intercept form and then graph, you should already know how to do this.
Answer:
True
Step-by-step explanation:
We have two salaries:
My salary is A
Your salary is B
If I earn 60% more than you
This means that
You must earn 37.5% less than me
The ratio between your salary and mine is:
Your salary is 62.5% of mine. So you earn 100-62.5 = 37.5%. So this is true.
