Question

YES IM LOOKING AT YOU ANSWER PLEAAASE

Answer 1

Answer:

The right answer is figure B

Step-by-step explanation:

* Lets talk about the complex number

- The complex number z = a + bi consists of two part:

# a is the real part and represented graphically by the x-axis

# b is the imaginary part and represented graphically by the y-axis

- We can add and subtract them by adding or subtracting the real parts

 together and the imaginary parts together

# Ex: if z1 = 2 + 3i and z2 = -1 - i

∴ z1 + z2 = (2 + -1) + (3 + -1)i = 1 + 2i

∴ z1 - z2 = (2 - -1) + (3 - -1)i = (2 + 1) + (3 + 1)i = 3 + 4i

* Now lets solve the problem

- Let find from the graph z1 , z2 and point A

- Look to the any graph and find z1 through the axes

- We moved 6 units on the x-axis (real part) and 7 units up

 (imaginary part)

∴ z1 = 6 + 7i

- Similarly find z2 through the axes

- We moved 5 units on the x-axis (real part) and 2 units down

 (imaginary part)

∴ z2 = 5 - 2i

* Now lets solve z1 - z2

∵ z1 = 6 + 7i and z2 = 5 - 2i

∴ z1 - z2 = (6 + 7i) - (5 - 2i) = (6 - 5) + (7 - -2)i = 1 + 9i

* Lets find in which figure the coordinates of A are (1 , 9)

∵ In figure A point A is (1 , 6)

∵ In figure B point A is (1 , 9)

∵ In figure C point A is (11 , 5)

∵ In figure D point A is (11 , 9)

∴ The right answer is figure B