Complex numbers are divided into two parts; real and imaginary parts. The value of Z3 is 
Given that:
Since O is the origin, then:
This means that:
So, we have:
Collect like terms
Hence, complex number Z3 is
Read more about complex numbers at:
brainly.com/question/18509723
If the grid is an 8x8:
To solve this we need to convert 3/4 into a fraction x/8 so that they have the same denominator.
To do this we can set a porportion and find a common denominator. 4 x 2 = 8 so the common denominator would be 8 and the rule would be x 2 so 4 x 2 = 8 and 3 x 2 = 6
So we get 7/8 and 6/8
From top to bottom shade 7 spaces in a row
From left to right shade 6 spaces in a row
Fill in the spaces in between to make a square
I hope this helps!
It is a simple problem where 120 centimeters need to be increased by 24%. The increased length can be found by:
120 * (24/100)
= 12 * (24/10)
= 288/10
= 28.8 centimeters
Then the total length of increase = 28.8 cm
Then the increased length = (120 + 28.8) cm
= 148.8 cm
So the length becomes 148.8 cm after it is increased by 24%.
Answer:
Step-by-step explanation:
Two lines are perpendicular if the first line has a slope of 
and the second line has a slope of 
.
With this information, we first need to figure out what the slope of the line is that we're given, and then we can determine what the slope of the line we're trying to find is:
We now know that 
for the first line, which means that the slope of the second line is 
. With this, we have the following equation for our new line:
where 
is the Y-intercept that we now need to determine with the coordinates given in the problem statement, 
:
Finally, we can create our line:
