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:
A) 6.86×10⁴
Step-by-step explanation:
You want to write 68600 in scientific notation.
<h3>Expanded form</h3>The number 68600 can be written in expanded form with exponents as ...
68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰
The left-most term of this sum tells you the exponent in scientific notation:
68600 = 6.86×10⁴
P=2.50x+100
The slope of the function is 2.50 which represents the commission Dylan makes for each computer sale. :)
We know, opposite sides are parallelogram is parallel, therefore slopes are equal.
Slope of line one :
So, equation of other line passing through (-4,5) and have slope of -0.5 is :
y-5 = -0.5( x-(-4))
y-5 = -0.5x - 2
y + 1/2x = 3
2y + x = 6
Therefore, equation of line containing the (-4, 5) is 2y + x = 6.
Hence, this is the required solution.