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
Um I think the first one is non proportional and the 2nd one is proportional y is 5 times x the 5 might be a negative
When using the formula that lets you solve for the area of a traingle, you use
area = 1/2 base + height
which led me to solve and get 32.13
Answer: 5x^2 + 3x + 1
Step-by-step explanation:
1.) Put the two equations together into an addition problem.
<em>3x^2 + 4x + 2x^2 - x + 1</em>
2.) Combine like terms.
<em>3x^2 + 2x^2 = 5x^2</em>
<em>4x - x = 3x</em>
<em>1 = 1</em>
3.) Order the like terms together.
<em>5x^2 + 3x + 1</em>
