Write all of the complex numbers that are graphed in the complex plane shown.
1 answer:
Answer:
A = -2 + 3i
B = -1 - i
C = 3 - 4i
D = 4 + i
Step-by-step explanation:
The rest of the question is the attached figure.
x-axis will represent the real part and y-axis will represent the imaginary part.
Let point P located at (x,y) so, The complex number P is (x + y * i)
So, as shown at the graph:
The coordinates of point A is (-2,3) ⇒ So, A = -2 + 3i
The coordinates of point B is (-1,-1) ⇒ So, B = -1 - i
The coordinates of point C is (3,-4) ⇒ So, C = 3 - 4i
The coordinates of point D is (4,1) ⇒ So, D = 4 + i
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Answer:
-0.25
Step-by-step explanation:
Coordinates of C =
Coordinates of D =
Let Coordinates of A= (x,y)
Since A point is located 1/4 the distance from C to D
So the remaining distance from point A to D is 3/4
Thus the ratio of CA : AD = m:n=1:3
Now to find points of A we will use section formula i.e.
Substituting the values:
Thus Find the x value for the point that is 1 over 4 the distance from point C to point D is -0.25
Hence option a is correct