Answer:
y-1 = 5/3(x-3)
Choice C
Step-by-step explanation:
slope = (y2-y1)/(x2-x1)
(3,1) (6,6)
m = (6-1)/(6-3)
m = (5/3)
the point slope form of a line is given by
y-y1 = m(x-x1)
You have point (3,1)
y-1 = 5/3(x-3)
Choice C
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
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Surface area is the combined areas of all the sides of the shape and volume is the area within the shape
for example if you had a box filled with water the area of the box is the surface area and the amount of water would represent the volume
Original Ratio of 1 in = 7 ft so 3 in = 21 ft
Now, New ratio 1 in = x ft so 3 in = 27ft
1/x = 3/27
cross multiply a/b = c/d ad = bc
1/x = 3/27
3x = 27
x = 9
1 in represents 9 ft