I would answer but I’m in 6th grade and I don’t know how to
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 correct answer is B=0.0262
Step-by-step explanation:
91÷3525 = 0.0262
The attached picture below gives a step by step explanation of how I arrived at my answer.
Please let's endeavor to always upload complete questions to avoid wrong answers.
Answer:
5.10 and 0.3
Step-by-step explanation:
510% in decimal form is 5.10 if u move the decimal to the left twice
3/10% is 30% which in decimal from is .3 if u move the decimal over to the left twice
hope this helps
Answer:
Step-by-step explanation:
The equation of a circle of radius r, centered at the point (a,b) is
We already know the center is at 
, we are just missing the radius. To find the radius, we can use the fact that the circle passes through the point (7,4), and so the radius is just the distance from the center to this point (see attached image). So we find the distance by using distance formula between the points (7,4) and (4,-5):
radius
And now that we know the radius, we can write the equation of the circle:
