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raquelle66
14.07.2020 •
Mathematics
Which complex number from the table multiplied with B from the table will result in the product 159 + 27i?
A -3 − 4i
B -7 − 6i
C 13 + i
D -9 + 6i
E 8 − 8i
F -15 + 9i
G 2 + 12i
H 6 − 10i
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Ответ:
F. -15 + 9i
Step-by-step explanation:
B = (-7 -6i)
Multiply B by F = (-15 + 9i), would give;
B × F = (-7 -6i) × (-15 + 9i)
= -7 (-15 + 9i) - 6i (-15 + 9i)
= 105 -63i + 90i - 54(
)
But
= -1, so that:
105 -63i + 90i -54(
) = 105 -63i + 90i -54(-1)
= = 105 -63i + 90i + 54
= 159 + 27i
B × F = 159 + 27i
Thus the required complex number is F (-15 + 9i).
Ответ: