Answer:
C) 
The slope of the perpendicular line
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given that the slope of the given line is
The slope of the perpendicular line
= 
The slope of the perpendicular line
= 
<u><em>Final answer</em></u>
The slope of the perpendicular line
I think the us 1 1/3. 2/3 x 2/1=4/3=1 1/3. Hope it helps and I hope it right.
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
4 + b/2 = 9
b/2 = 9 - 4
b/2 = 5
2(b/2) = 5(2)
b = 10
hope this helps :)
