what is the slope of line I

The sum of the complex numbers (2 – 3i) and (-4-2i) is -2 - 5i.

Complex numbers are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit, satisfying the equation [tex]i^2[/tex] = -1. The real part of a complex number is denoted by Re(z) = a, and the imaginary part is denoted by Im(z) = b.

Complex numbers can be added, subtracted, multiplied, and divided in a similar way to real numbers. The addition and subtraction of complex numbers is done by adding or subtracting the real and imaginary parts separately.

To find the sum of complex numbers, we add their real parts and their imaginary parts separately. Let's calculate the sum of the given complex numbers:

(2 - 3i) + (-4 - 2i)

Real part: 2 + (-4) = -2

Imaginary part: (-3i) + (-2i) = -5i

Therefore, the sum of (2 - 3i) + (-4 - 2i) is -2 - 5i.

Learn more about Complex numbers here:

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X + y = 10

Rewrite as y = 10-x

Y - x = 6

Replace y

10-x -x = 6

Simplify:

10-2x = 6

Subtract 10 from both sides:

-2x = -4

Divide both sides by -2:

X = 2

Now replace x in the first equation:

2 + y = 10

Subtract 2 from both sides:

Y = 8

The two numbers are 8 and 2

Answer:

She has run 259.18m

Step-by-step explanation:

Since Dianne is running around the circular track, she is running around the perimeter of the circle.

Now, we know that the perimeter of a circle is given by;P = 2πr

Thus the perimeter of the track = total distance that the man travels = 2 x π x 55 = 345.575 meters

Now,since she has run 3/4 of the distance, thus, she has run;

(3/4) x 345.575 = 259.18m

Answer:

the shorter leg is 10 meters, longer leg is 24 meters and the hypotenuse is 26 meters

Answer:

I think answer is 8.....

Answer:

angle B=100 degrees

vertically opposite angle

angle B +x= 180 degree

100-180=x

80 degree =x

Answer:

x = 80°

Step-by-step explanation:

GIVEN :-

TO FIND :-

PROCEDURE :-

∠CBD + ∠FBD = 180°      (∵ ∠CBD & ∠FBD form a linear pair )

⇒ ∠FBD = 180° - 100° = 80°

Also,

∠FBD = ∠EFB       (∵ Alternative Interior Angles are equal )

⇒ x = 80°

Answer:

that should be D

Step-by-step explanation:

Its D because there are to many other colors

Answer:

[tex]4.5^{7}[/tex]

Step-by-step explanation:

Just count how many 4.5 there are.

4.5^7

jwnnd  jwdjndw jnfjwnjj fjnwjnfs cn jjwj wmc sknkw c mssc kskwc

Answer:

2(x - 3)

Step-by-step explanation:

Answer:

4/7

Step-by-step explanation:

Given function:

Cross multiply:

Rename:

Multiply the terms:

Therefore, 2/3·6/7 is 4/7..

Answer:

4/7

Step-by-step explanation:

1. you multiply

2/3 x 6/7 equals 2 x 6 and 3 x 7 equals 12/21

Multiply the denominator and numerator

2. simplify

12/21 equals 4/7

Answer:

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min.

This means that [tex]a = 50, b = 52[/tex]

If one such class is randomly selected, find the probability that the class length is between 51.5 and 51.7 min.

[tex]P(51.5 \leq X \leq 51.7) = \frac{51.7 - 51.5}{52 - 50} = \frac{0.2}{2} = 0.1[/tex]

0.1 = 10% probability that the class length is between 51.5 and 51.7 min, that is, P(51.5 < X < 51.7) = 0.1.

Answer:

Need to see the statements

Step-by-step explanation:

Answer:

sywuwyqiqjkasa

Step-by-step explanation:

Yueyeiwwiwieiei2i2i2i

Answer:

There are no student waiting to ask questions

Step-by-step explanation:

The number of students that arre

The arrival rate of the student, λ = 15/hr

The number of minutes spent per student, W = 3 minutes

The number of students waiting to ask questions, 'L', is given by Little's law as follows;

L = λ·W

Where;

L = The number of students in the system

λ = The arrival rate = 15 students/hour

W = The average time spent in the system = 3 minutes = 1/20 hour

∴ L = 15 student/hour × (1/20) hour = 3/4 Students

Given that the number of students waiting to ask questions is a fraction, less than 1, we round down, and there are therefore no student waiting to ask questions

Answer:

yes he is correct

Step-by-step explanation:

10000x0.05=500 so thats correct

he will pay 500 for 20 month= 10,000

Answer:

n=14

Step-by-step explanation:

12.5=n-1.5

-n=-1.5-12.5

-n=-14

n=14

Answer: c,b

Step-by-step explanation:

Answer:

the correct and reasonable answer should be B and C.

Step-by-step explanation:

Answer:

sometimes a square could be a parallelogram too and a rhombus and a normal parallelogram

Step-by-step explanation:

it has two parallel pairs

Answer: Should be 150mm

Step-by-step explanation:

Find the surface area of each figure. Round answers to the nearest tenth, if necessary

2 mm-

2/5 mm

10 mm

3 mm

O

75 mm2

150 mm2

92 mm2

86 mm2

Answer:

3/24 and 35/63

Step-by-step explanation:

3 / 6 of 1 / 4 = 3 x 1 / 6 x 4 = 3 / 24

7 / 9 of 5 / 7 = 7 x 5 / 9 x 7 = 35/63

Answer:

3            1               1

_     X    _      =       _  

6            4              8

7            5              5

_     X     _   =        _

9            7              9

Hope this helped :)

Answer:

C- Money lost from a pocket

Step-by-step explanation:

It would be C because something is decreasing ( now a negative) from what they did have.

Answer:

j

Step-by-step explanation:

jj

Answer:

y = [tex]\frac{-1}{6}[/tex]x - [tex]\frac{7}{3}[/tex]

Step-by-step explanation:

1. Find the slope -3- -2 / 4 - -2  so -3+2/4+2, -1/6 so m = -1/6

2.  Find y intercept (b)   y = mx + b so -2 = -1/6(-2) + b, -2 = 1/3 + b

b = -2-1/3, b = -6/3 - 1/3, so b = -7/3

3.  Put it all together y = mx + b so y = -1/6x -7/3

Answer:

6. the number placed in thousand place 95,184 is 1

7. the cube of 2 and 3 is 27-8is 19

8. The divisor is 4

9. 25

10. the prime number is 13

Answer:

6. 95,000

7. I can't read it

8. I cant read that either

9. 5 pounds

10. 14

Step-by-step explanation: