Answer:
3 + 9i
Step-by-step explanation:
(4 + 2i) - (1 - 7i)
distribute the (-)
(4 + 2i) - 1 + 7i
combine like terms
3 + 9i
Answer:
7n²
Step-by-step explanation:
7/n² - 8/7n
Least common multiple will be the least common denominator
L.C.M = 7n²
Dividing the L.C.M by denominators and multiplying with numerators;
((7×7) - (n×8))/7n²
= (49 - 8n)/7n²
7n² is the least common denominator
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).
It’s C,
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Answer:
d=24g-6c
Step-by-step explanation:
12c+2d=48g
2d=48g-12c
d=24g-6c
