Answer:
The real part is 2
The imaginary part is -5
Step-by-step explanation:
A complex number consists of a real part and an imaginary part. For example given the complex number z = x+it
x is the real part of the complex number z i.e Re(z) = x
Imaginary part of the complex number z is y i.e Im(z) = y.
Note that the real part are on the x axis of a graph while the y axis is the imaginary axis attached to the complex notation i
Given the complex number 2-5i
Comparing 2-5i to x+iy
x= 2 and y = -5
The real part is 2 (value that is not attached to the complex notation)
The imaginary part is 5(value attached to the complex notation)
The answers are
11. c) 7x² +5x +8 remainder 7.
12. d) 6x² -6x +3 remainder 2x.
Step-by-step explanation:
Step 1; By dividing 7x³ -2x² +3x -1 with x -1 we get the following calculations. We multiply 7x² with x-1 and get 7x³ - 7x². We subtract this from 7x³ -2x² and get 5x². Now we add this with the 3x in 7x³ -2x² +3x -1. We get 5x² +3x. We multiply x -1 with 5x and get 5x² -5x and subtract it from 5x² +3x and get 8x. We multiply the x -1 with 8 and get 8x -8. We subtract this from 8x -1 and get a remainder of 7. So the quotient is 7x² +5x +8 with a remainder of 7.
Step 2; By dividing 6
+0x³ -3x² +5x with x² +x we get the following calculations. We multiply 6x² with x² +x and get 6 +6x³. We subtract this from 6 +0x³ and get -6x³. Now we add this with the -3x² in 6 +0x³ -3x² +5x. We get -6x³ -3x². We multiply x² +x with -6x and get -6x³ -6x² and subtract it from -6x³ -3x² and get 3x². We multiply the x² +x with 3 and get 3x² +3x. We subtract this from 3x² +5x and get a remainder of 2x. So the quotient is 6x² -6x +3 with a remainder of 2x.
Answer:
B.one solution; lines that intersect at one point
Step-by-step explanation:
