Answer:
The worker can get a piece of the diamonds using 48÷8 which it is 6.
Step-by-step explanation:
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Answer:
i) 28 - 30i
ii) 36 + 28i
Step-by-step explanation:
i) x = 6 + i ⇒2x = 2(6 + i) = 12 + 2i
z = 4 - 8i ⇒ 4z = 4(4 - 8i) = 16 - 32i
2x + 4z = (12 + 2i) + (16 - 32i) = 28 - 30i
ii) w = -1 + 5i and z = 4 - 8i
w × z = (-1 + 5i)(4 - 8i) = -4 + 8i + 20i - 40
⇒collect like terms
w × z = -4 + 28i - 40
∵ 
∴w × z = -4 + 28i - 40(-1) = -4 + 28i + 40 = 36 + 28i
Answer:
x = - 2, x = 0
Step-by-step explanation:
- 3x² - 6x ← factor out - 3x from each term
= - 3x(x + 2)
To solve equate to zero
- 3x(x + 2) = 0
Equate each factor to zero and solve for x
- 3x = 0 ⇒ x = 0
x + 2 = 0 ⇒ x = - 2