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: the 3rd graph cause the other are in the middle well close if that didn't help then i am so sorry if i did plz mark me Brainliest
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
The ratio is 3:5, so 3x4 equals 12, then 5x4=20.
X=420. You can find this by cross multiplying.
Considering the situation described, the measure of angle x is of 60º.
<h3>What is the measure of angle x?</h3>
Researching this problem on the internet, we have that a 180º ray is bisected into two parts, each of 90º.
- The first part has angles of 70º and y.
- The second part has angles of 60º and x.
Due to the bisection, angles 60º and x are complementary, that is, they add up to 90º, hence:
60º + x = 90º
x = 30º.
The measure of angle x is of 60º.
More can be learned about measures of angles at brainly.com/question/25716982
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