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hodyreva [135]
3 years ago
10

What are the real and imaginary parts of the complex number?

Mathematics
1 answer:
Licemer1 [7]3 years ago
8 0

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)

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4y+12=0<br> How do I get the two points to be graphed
coldgirl [10]

Did somebody say you're supposed to draw the graph of the equation ?
Is that the assignment ?

OK.  Just like every other equation you need to graph, get it in the
standard form, where 'y' is all alone on one side, and everything else
is on the other side.  When you do that, you'll be able to spot the slope
and y-intercept of the  line, or get some points, or whatever you want.

                                               4y + 12  =  0

Subtract 12 from each side:          4y  =  -12

Divide each side by 4:                      y  =  -3

There's the equation you can handle. 
The y-intercept is -3, and the slope is zero.

Would you like some points ?  OK.  Pick a couple of values for 'x',
and calculate the value of 'y' for each one:

The first value I picked for 'x':  x = 72 
The equation is  y=-3, so when x=72, y=-3.  The point is (72, -3)

The second value I picked for 'x' is:  x = 1
The equation is  y=-3, so when x=1,  y=-3.    The second point is (1, -3).

The third value I picked for 'x' is 4 billion.
The equation is  y=-3, so when x=4 billion, y=-3.  The third point is  (1, -3).

Do you see what's going on here ?  Your original equation didn't even
have 'x' in it, so we could tell right away that when the graph is drawn,
the value of 'y' at every point can't depend on 'x'.

When we simplified the equation and got it in standard form, we found that
the slope of the graph is zero.  That means the graph doesn't rise or fall ...
it's just a horizontal line.  Sure enough, the height of points on the line
doesn't depend on 'x'.  The value of 'y' at every point on the line is  -3 .
8 0
3 years ago
4. Solve the following equations and verify your answers: (i) 3 (x + 7) = 18​
stiv31 [10]

Answer:

8.33333333333

Step-by-step explanation:

Solution for 3x-7=18 equation:

3x - 7 = 18

3x = 18 + 7

3x = 25 (divide both sides by 3 to get x)

3x/3 = 25/3

x = 8.33333333333

3 0
3 years ago
Select the graph of y=cot x.
Kisachek [45]

Because of the vertical asymptote and the change in concavity, we conclude that the correct option is B.

<h3>Which is the graph of cotangent of x?</h3>

Remember that cot(x) = 1/tan(x).

Then we can rewrite:

cot(x) = cos(x)/sin(x).

We know that for x = 0, we have:

cot(0) = cos(0)/sin(0) = 1/0

Then we have a vertical asymptote that tends to ± infinity.

The only graph that meets this condition is the second and the third one, and by the curvature (we need to have a change of concavity/convexity) in the tangent function.

From that, we conclude that the correct option is B.

If you want to learn more about trigonometric functions:

brainly.com/question/8120556

#SPJ1

7 0
2 years ago
A speeding car passes a cop going 55 miles per hour. Ten seconds later, the
Deffense [45]

Answer:

-2.5

Step-by-step explanation:

Acceleration; v1-v0/t

v1=55

vo=35

t=10

25/10=2.5

6 0
3 years ago
A triangle has an area of 48 square units. Its height is 8 units.
wariber [46]
12 units
(because 0,5 x 12 x 8 = 48)
5 0
3 years ago
Read 2 more answers
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