Think of imaginary numbers on a complex plane as coordinates - take the real part, that's the x coordinate, the imaginary part that's the y coordinate.
Therefore, for the first blank, -1+3i lies in the shaded area, because its coordinates are (-1,3).
And following on from that for the second one, -4i does not lie in the shaded area, since its coordinates are (0,-4).
Tl;dr is taking a complex number a+bi and placing it on a complex plane, it will have coordinates (a,b)
Don't think so.
/ᐠ｡ꞈ｡ᐟ\
*Has to add more words to be able to answer this*
3. 16 months
60x=947
x=15.78333… = 16 months
4. 46 months
400x=18,091
x=45.2275 = 46
We will say the smaller number is X and the larger number is Y
The first sentence states y=x+3 and the second sentence states 4y=6x-13
You can use substitution in this to plug in y=x+3 into 4y=6x-13 to get
4(x+3)=6x-13 now move -13 to the other side to get 4x+16=6x then move 4x to the other side to get 16=2x giving you X
X=8
Now plug in X into the equation y=x+3
y=(8)+3 giving you Y
Y=11
Now plug in both X and Y to check
4(11)=6(8)-13
44=35
Answer:
63
Step-by-step explanation:
180-73-44=63
(All the angles in a triangle always add to 180)
