Given:
A(16, 4)
B(34, 40)
Line segment AB partition in the ratio 1 : 5.
To find:
The coordinate of a point that partitions AB.
Solution:
Section formula:
Here 
and m = 1, n = 5
The coordinate of point that partitions the segment AB is (19, 10).
Answer:
The real part is 32, while the imaginary part is 41.9
Step-by-step explanation:
z is a complex number. A complex number is made up of real and imaginary parts.
The real part is the number that stands alone, while the imaginary part is the number that is directly beside the i.
i is actually equal to 
. There is no solution for that.
Therefore, for the given expression, the real part is 32, while the imaginary part is 41.9.
Note: the imaginary part does not contain i.
<h3>
Answer: -i</h3>
========================================================
Explanation:
i = sqrt(-1)
Lets list out the first few powers of i
- i^0 = 1
- i^1 = i
- i^2 = -1
- i^3 = i*i^2 = i*(-1) = -i
- i^4 = (i^2)^2 = (-1)^2 = 1
By the time we reach the fourth power, we repeat the cycle over again (since i^0 is also equal to 1). The cycle is of length 4, which means we'll divide the exponent over 4 to find the remainder. Ignore the quotient. That remainder will determine if we go for i^0, i^1, i^2 or i^3.
For example, i^5 = i^1 because 5/4 leads to a remainder 1.
Another example: i^6 = i^2 since 6/4 = 1 remainder 2
Again, we only care about the remainder to find out which bin we land on.
-------------
Turning to the question your teacher gave you, we have,
739/4 = 184 remainder 3
So i^739 = i^3 = -i
<h3>
-i is the final answer</h3>
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Side notes:
- if i^a = i^b, then a-b is a multiple of 4
- Recall that the divisibility by 4 trick involves looking at the last two digits of the number. So i^739 is identical to i^39.
Answer:
x=-10
Step-by-step explanation:
3x-4(2+3x)=82
3x-(4*2)+(4*3x)=82
3x-8-12x=82
-9x-8=82
-9x-8+8=82+8
-9x=90
-9x/-9=x
90/-9=-10
x=-10
