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:
yes, all of it is correct
Step-by-step explanation:
For the two triangles to be congruent, you would need the following angles and lengths to be congruent with each other.
Use x+2y=8
Subtract 2y to make
x=8-2y
Plug this in to the other equation
3(8-2y)+2y=6
Distribute the 3
24-6y+2y=6
Combine like terms
24-4y=6
Solve
18/4=y, 9/2=y
Plug and solve for x
X+2y=8
X+(2*9/2)=8
X+9=8
X=-1
Answer:
1.19
Step-by-step explanation:
there are 119 boxes shaded so in 119/100 is 1.19
