Answer:
4) VW= 23
5) VW= 12
6) VW= 75
Step-by-step explanation:
4)
VU= 31
WU= 8
subtract 8 from 31
VW= 23
5)
UW= 18
UV= 6
subtract 6 from 18
VW= 12
6)
UV= 30
WU=45
add 30 and 45
VW= 75
The correct value of (3cis(pi/6))³ is 27i.
<h3>What is Complex Number?</h3>
Complex numbers are numbers that consist of two parts — a real number and an imaginary number. Complex numbers are the building blocks of more intricate math, such as algebra.
Given the complex number in polar coordinate expressed as
z = r(cos∅+isin∅)
zⁿ = {r(cos∅+isin∅)}ⁿ
According to DeMoivre’s Theorem;
zⁿ = rⁿ(cosn∅+isinn∅)
Given the complex number;
(3cis(pi/6))³
= {3(cosπ/6 + isinπ/6)}³
Using DeMoivre’s Theorem;
= 3³(cos3π/6 + isin3π/6)
= 3³(cosπ/2 + isinπ/2)
= 3³(0 + i(1))
= 27i
Thus, the correct value of (3cis(pi/6))³ is 27i.
Learn more about Complex number from:
brainly.com/question/10251853
#SPJ1
A and B are correct... reason is because hundredths is 1/10 to tenths and tenths are 10 times bigger than hundredths. C and D are wrong.
Hope this helped!
Nate
Answer:
Hey!
Your answer is 1 (the y-intercept is 1)
Step-by-step explanation:
x-intercept = (
−
1/
6 ,
0
)
y-intercept = (
0
,
1
)
Explanation:
Slope formula is
= r
i
s
e/
r
u
n
Since 6 is obviously 6/
1 then...
we know that the slope goes up 6 units
and right 1 unit on a graph.
Next we have to find the y-intercept of the line
of y=6x+1, you substitute x as x=0.
y
=
6
x
+
1
y
=
6
(
0
)
+
1
so then y
=
1
HOPE THIS HELPS!!
