Answer:
The imaginary part is the multiple of i. It is common practice to use the letter z to stand for a complex number and write z = a + bi where a is the real part and b is the imaginary part. where a is the real part and b is the imaginary part.
Step-by-step explanation:
You can easily check that a complex number z = x + yi times its conjugate x – yi is the square of its absolute value |z|2. Therefore, 1/z is the conjugate of z divided by the square of its absolute value |z|2.
Complex numbers A complex number z is defined as an ordered pair z = (x, y), where x and y are a pair of real numbers.
Answer:
Perpendicular
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Step-by-step explanation:
Given




Required
Is AB and CD parallel?
First, we need to calculate the slope (m) of AB and CD

For AB:


So:





For CD:


So:




For Lines to be parallel, the slope must be equal:
i.e. 
This condition is not true because:

For Lines to be perpendicular, the slope must be:

This implies:



<em>Hence, the lines are perpendicular</em>
Answer:
6.75 hour is approximated to 7 hours
Step-by-step explanation:
Given
Time = 6.75 hours
Required
Round to the nearest hour
The time given is given in base 10 and the conversion can be done in two ways.
1. Convert directly by approximation.
Approximating 6.75 to the nearest whole number gives 7.
Hence, 6.75 hours = 7 hours
2. Convert to time equivalent then approximate time
This is done as follows

Convert decimal to fraction

Simplify to lowest term

Convert hour to minute
There are 60 minutes in an hour



The rule of time approximation is that; if the minutes is between 0 and 29, it'll be rounded to 0; else, it'll be rounded up to 1
Going by the rule, 45 minutes will be approximated to 1 hour.
This gives


Hence, 6.75 hour is approximated to 7 hours
Answer:
Hey Friend.....
Step-by-step explanation:
This is ur answer....
<h3>
<em>68 + 52 = 120</em></h3><h3>
<em>Sum of Triangle = 180 </em></h3><h3>
<em>Value of Interior Angle = </em></h3><h3>
<em>180 - 120 </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>= 60</em></h3><h3>
<em>Supplementary Angle Measure </em><em>=</em><em> </em><em>180 </em></h3><h3>
<em>= 180 - 60 </em></h3><h3>
<em> </em></h3><h3>
<em>Value of F Angle = 120</em></h3>
Hope it helps!
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