9514 1404 393
Answer:
25 +0i
Step-by-step explanation:
The conjugate of a complex number is that number with the sign of the imaginary part reversed.
For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...
(-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)
= 9 +12i -12i -16i² = 9 +16 = 25
The real part of the product is 25; the imaginary part is 0.
(-3 +4i)(-3 -4i) = 25 +0i
_____
You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.
Let x represent the cost of book B
Book A: $17.50
Book B: x
Sales tax: (A + B) x 6% = .06(17.50 + x) = 1.05 + .06x
book A + book B + sales tax = total cost
(17.50) + (x) + (1.05 + .06x) = 44.52 <em>plugged in all of the values</em>
18.55 + 1.06x = 44.52 <em>added like terms</em>
1.06x = 25.97 <em>subtracted 18.55 from both sides</em>
x = 24.50 divided 1.06 from both sides
Answer: $24.50
Answer:
y=7.5x, y=9.25x, y=6x
Step-by-step explanation:
on the first table we have for 2 tikets $ 15 so the price for one ticket (also known as unit price) is 15/2= $ 7.5
the equation for the price of ticket must be
y= 7.5 x (where y is price you pay for x number of tikets)
on the second table you can pick that you have $37 for 4 tikets so unit price is 37/4= $9.25 per one ticket
y=9.25x
last table $12 for 2 tikets so for one ticket is 12/2=$6
y=6x
Answer:
<em>The actual width of the hair is 20 / 150 = 0.13 mm</em>
Step-by-step explanation:
<u>Scaling</u>
Objects can be represented in a reduced or augmented size by using scaling which is basically multiplying or dividing by a constant factor. We use scaling in several applications of real-life.
The human hair is magnified 150 times by a micro-phtograph. This is the scale factor.
The hair can be seen 2 cm wide in the photograph.
Converting to millimeters, 2 cm = 2*10 = 20 millimeters.
The actual width of the hair is 20 / 150 = 0.13 mm
Answer:
42.92
Step-by-step explanation:
