All categories

3 years ago

In which quadrant is the number 6 – 8i located on the complex plane?

Mathematics

2 answers:

alexandr402 [8]3 years ago

5 0

Answer: The given number is located in Quadrant IV.

Step-by-step explanation: We are to find the quadrant in which the number (6 - 8i) located on the complex plane.

We know that a complex plane is treated as a two-dimensional plane, where the real part of the number is treated as the x-coordinate and the imaginary part is treated as the y-coordinate.

So, if 'x' and 'y' are positive, then

x + yi = (x, y) Quadrant I

-x + yi = (-x, y) Quadrant II

-x - yi = (-x, -y) Quadrant III

x - yi = (x, -y) Quadrant IV

Given number is

(6 - 8i) = (6, -8).

Therefore, the given number is located in Quadrant IV.

zavuch27 [327]3 years ago

3 0

The answer is the 4th quadrant xx The real axis is the x-axis and the imaginary axis is the y-axis

You might be interested in

How do i solve the equation p=IRT to get R?

never [62]

PXI=R+T-I. Ur Welcome.

8 0

3 years ago

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a

Whitepunk [10]

Answer: $\mu=2.88\ \&\ \sigma^2=0.115$

Step-by-step explanation:

Given : The probability of a correct classification of any part is : p=0.96

sample size : n= 3

The formula to find the mean and variance for binomial distribution is given by :-

$\mu=np\\\\\sigma^2=np(1-p)$

Let the random variable X denote the number of parts that are correctly classified.

The, for the given situation, we have

$\mu=3(0.96)=2.88\\\\\sigma^2=(3)(0.96)(1-0.96)=0.1152\approx0.115$

Hence, the mean and variance of X are 2.88 and 0.115 respectively.

4 0

4 years ago

Solve the system equation for X and using the elimination method .

Kisachek [45]

Answer: 2х+5y=25= Slope = -0.800/2.000 = -0.400

x-intercept = 25/2 = 12.50000

y-intercept = 25/5 = 5

so slope form =0,400

x intercept form = 12.50000

y intercept =5

and the answer to 2x+3y=-1= Slope = 1.333/2.000 = 0.667

x-intercept = 1/2 = 0.50000

y-intercept = -1/3 = -0.33333

Step-by-step explanation: an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+5y-25 = 0 and calculate its properties

Notice that when x = 0 the value of y is 5/1 so this line "cuts" the y axis at y= 5.00000

y-intercept = 25/5 = 5

When y = 0 the value of x is 25/2 Our line therefore "cuts" the x axis at x=12.50000

x-intercept = 25/2 = 12.50000

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 5.000 and for x=2.000, the value of y is 4.200. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 4.200 - 5.000 = -0.800 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -0.800/2.000 = -0.400

Geometric figure: Straight Line

Slope = -0.800/2.000 = -0.400

x-intercept = 25/2 = 12.50000

y-intercept = 25/5 = 5

8 0

3 years ago

N divided by 100 = 7.6

makvit [3.9K]

Answer:

n=760

Step-by-step explanation

To find n, you need to do the reciprocal of division: n/100=7.6 → 100(7.6). Then you multiply 100 by 7.6 and n will be 760.

8 0

3 years ago

Write the greatest and the least numbers formed by the digits 4, 2, 3, 5, 6 and add these numbers.

gogolik [260]

Answer:

Greatest number is 65432

Lowest number is 23456

Step-by-step explanation:

$65432+23456=88888$

3 0

3 years ago