Answer:
See below.
Step-by-step explanation:
Fifth root of 243 = 3,
Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),
then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).
Equating equal parts and using de Moivre's theorem:
r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240
r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p
So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360
So there are 5 distinct solutions given by:
3(cos 48 + i sin 48),
3(cos 120 + i sin 120),
3(cos 192 + i sin 192),
3(cos 264 + i sin 264),
3(cos 336 + i sin 336).. (Answer).
Answer: (B) 189 4 cm3 is the correct answer
Step-by-step explanation:
5032.34
Y = 0.82 * 6137
<span>Y = 5032.34
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Answer:
D. (y+1)=5(x+2)
Step-by-step explanation:
Point-slope form follows: y - y1 = m(x - x1)
Since both x and y are negative for (-2,-1), it becomes a positive because two -'s become a +.
m(slope)=5
y-(-1)=5(x-(-2))
y+5=5(x+2)
Move all y terms to both sides
subtract both sides by 3xy
<span>y=3xy-1
y - 3xy = -1
factor out y from the left side: y(1 - 3x) = -1
divide both sides by (1-3x)
y = -1/(1-3x)
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