Simplify the following:5 i/(3 i + 2)^2
(3 i + 2)^2 = 4 + 6 i + 6 i - 9 = -5 + 12 i:(5 i)/12 i - 5
Multiply numerator and denominator of (5 i)/(12 i - 5) by 5 + 12 i:(5 i (12 i + 5))/((12 i - 5) (12 i + 5))
(12 i - 5) (12 i + 5) = -5×5 - 5×12 i + 12 i×5 + 12 i×12 i = -25 - 60 i + 60 i - 144 = -169:(5 i (12 i + 5))/-169
i (12 i + 5) = -12 + 5 i:(5 5 i - 12)/(-169)
Multiply numerator and denominator of (5 (5 i - 12))/(-169) by -1:Answer: (-5 (5 i - 12))/169
Answer:
C' (-4 , 2)
slope of new line = line "L" = -2
Step-by-step explanation:
C (x₀,y₀): (0,2) dilation center (h,k): (2,2) scale factor (sf): 3
C' (x,y)
x = 2 + 3*(0-2) = -4 x = h + sf*(x₀ - h)
y = 2 + 3*(2-2) = 2 y = k + sf*(y₀ - k)
C' (-4 , 2)
slope of new line = line "L" = -2
The population density of Romania in 1997 given its area and the population is 95 people per square km.
<h3>What is the population density?</h3>
Population density is the number of people that live in a square kilometer of an area. It is determined by dividing total population by total area.
Population density = population / area
22.600,000 / 237301 = 95 people per square km
To learn more about population density, please check:
brainly.com/question/3704320
#SPJ1
Answer:
4 weeks= $57
45+3(4)
45+12=57
10 weeks= $75
45+3(10)
45+30=75
15 weeks= $90
45+3(15)
45+45=90
20 weeks=$105
No there is not enough money because you are $20 short after 20 weeks. You need to wait 7 more weeks
