Multiply the complex numbers:

1: (1 - 4i)(3 - 3i)
2: (2 + i)(3 + 3i)
3: (-7i)(7i)(-7 - 8i)

Answers

Answer 1

Answer:

Step 1

Step 2: Simplify the powers of i, specifically remember that i2 = –1.

Step 2

Step 3: Combine like terms, that is, combine real numbers with real numbers and imaginary numbers with imaginary numbers.

Step 3

Answer 2

Answer:

Step-by-step explanation:

1:-9 - 15 i

2: 12 + 6 i

3: -343 - 392 i


Related Questions

Find 149(−247) . Write your answer as a mixed number in simplest form.

Answers

Answer:

-36803

Step-by-step explanation:

149(-247)=-36803

A girl 5 ft tall is walking away from a lamp post that is 12 ft high. If the girl is walking at a speed 7ft/s, how fast is the tip of her shadow moving when she is 10 ft from the lamp post?

Answers

Answer:

The tip of the shadow is moving at 4.8 ft per sec when the question is:

"A street light is at the top of a 16 ft tall pole. A woman 6 ft tall walks away from the pole with a speed of 8 ft/sec along a straight path. How fast is the tip of her shadow moving when she is 35 ft from the base of the pole?"

can you help me with this square???

Answers

Answer:

For Area = l × w

= 18 × 15

= 270 cm2

For Perimeter = 18 + 15 + 18 + 15

= 66cm

I need help ASAP!! I am offering brainiest to whoever can answer first AND CORRECTLY!!!!!!1

Answers

Answer:

Height: 300

Width: 1000

Step-by-step explanation:

All you have to do is look at where the lines start and end on the graph for instance the top is at 0 and the very bottom line is at 300 so that means its 300 feet tall.

Anyone know the answer to this?

Answers

Answer:

hello again

Step-by-step explanation:

the radius of the circle is 6mm

for having the circumference we need diameter

for having diameter we should multiply in 2

so:

[tex]d = 2r \\ \\ d = 2 \times 6 = 12mm \\ v = \pi \: d \\ v = 12\pi \: mm[/tex]

i hope this is the answer

Very easy!! help!! urgent!! its on ratio

Answers

Answer:

A and B are correct

Step-by-step explanation:

if x:y is 1:3 then x is 1 and y is 3

1/3 of 3 is 1 so A is correct

3/4(1+3) is 3 so B is correct

But

1/4 × 3 is not 1 so C is not correct

3/4 ×1 is not 3 so D isn't correct

please help asap....​

Answers

Answer: B or D

Step-by-step explanation:

I think it might be D-

On a bicycle, Caitlyn rides for 4 hours and is 46 miles from her house. After riding for 7 hours, she is 79 miles away. What is her rate?

Answers

Answer:

Caitlyn's average is roughly 11.4.

Step-by-step explanation:

You get this by dividing 46 by 4, which gets you 11.5.

You then divide 79 by 7, that equals 11.3, rounded.

The number in-between the two numbers is 11.4.

Hope this helps!

Pls mark brainliest! ;)

The degree of the polynomial
p( x ) = x^7 −5x^3 − 3x^2 + 2x is _____

A. 7

B. 2

C. 3

D. 1

Answers

Answer:

A. 7

Step-by-step explanation:

Now the power of the highest degree term is 7 so the degree of the polynomial is 7.

Answer:

A. 7

Step-by-step explanation:

Have a great day

a large painting has a length of 18 inches and width of 12 inches. If each dimension is reduced by x inches to make the ratio of length to width 5 to 3, what is the value of x

Answers

Answer:

The value of x = 3.

Step-by-step explanation:

The ratio between length and width is given by:

[tex]\frac{L}{W}=\frac{5}{3}[/tex]

Where:

L represents the new length W represents the new width

Now, we know that each dimension is reduced by x inches, it means:

[tex]L=18-x[/tex]

[tex]W=12-x[/tex]

Then, we will have:

[tex]\frac{18-x}{12-x}=\frac{5}{3}[/tex]

Finally, we just need to solve it for x.  

[tex]3(18-x)=5(12-x)[/tex]

[tex]5x-3x=60-54[/tex]

[tex]2x=6[/tex]

[tex]x=3[/tex]

Therefore, the value of x = 3.

I hope it helps you!

1. -9x + 1 = -80

What is the value of x
please help I suck at 2 step equations
and answer the questions below as well, please
find the value of X
2. x/8 = 11
3. 10 - 6x = -104
4. -3x = 18
5. x/-4 = 6
6. -9x - 13 = -103
7. 8 + x/-4 = 5
8. 5 - x = 20
THANK YOU

Answers

Answer:

1. x=9

2. x=88

3. x=-15.7

4. x=-6

5. x=-20

6. x=10

7. x=-12

8. x=25

Hope this helps

Salem starts out with 50 baseball cards and plans to buy 5 more per month.
Zayed starts out with 90 baseball cards and plans to sell 5 per month.
Write a system of equations to represent this situation.

Answers

Answer:

50-90 = 100

Step-by-step explanation:

the ball should be roll ad i dont knw if you knw lwase dp ot tanks

I need help, someone help me, please

Answers

Answer:

(a): 46 degrees

(b): 63 degrees

(c): 27 degrees

(d): 60 degrees

Step-by-step explanation:

AAAAHHH! PLEASE HELP NOW!!! NO LINKS!! WILL MARK BRAINLEST!!!

Answers

Answer:

Your answer should be. 99

14 -----

100

A brick has a dimension of 15 cm x 6.0 cm x 12 CM what is the volume of the brick in cubic meters? (recall that 1 cm = 10^-2 m)

Answers

Answer:

342

Step-by-step explanation:

36476

Three angles (degrees) in a kite are 105, 105 and 115. What is the missing angle total?

pls help i need it asap

Answers

Answer:

35 degrees

Step-by-step explanation:

we add all answers 105+105+115 and get 325 so we subtract 360 from 325 bc 360 is the maximum angle a quadrilateral can be.

Answer:

let missing no.be x

x+105+105+115=360(sum of angle of kite is 360)

x=360-325=35

therefore missing Angle is 35°

What are the values of x and y? y Х 12 16 O A. x=2,15.y =4 O B. x=8/7, y =4721 O C. x=8-/5, y = 8-13 O D. x=42/21, y = 877​

Answers

Step-by-step explanation:

A and b but the answer is a because they didn't let me try 1 answer

HELP PLZ PLZ PLZ PLZ

IT IS A PIC

Answers

Answer:

A

Step-by-step explanation:

just count lol

it's 14 cubic units.

What is this number rounded to the nearest tenth ?

Answers

54.3.. sorry if this is incorrect

Which product is modeled by the number line below?
2
-2
2-10
1
2
3
2-7 8 5 4 3
6 B 7
a. (-2)(4)
b. (-3)(4)
C. (2)(4)
d. (3)(4)
Show your work

Answers

Answer:

It is A. (-2)(4)

Step-by-step explanation:

because if you solve it it gives you -8 which is exactly the number it lands on at last.

A meal that cost $50 had a 20% tip and 5% sales tax. How could you calculate your final total bill?

Answers

Answer:

$57.50

Step-by-step explanation:

find 10% of 50 first, which is 5, because 5 × 10 = 50, then add $10 to the $50 beacause 50 × 0.2 = 10, next, remove 5%, to do this divide 10% by 2 to get $2.50, 60 - 2.5 = 57.5

2. A water tank is in the shape of a right circular cylinder with a height of 9
feet and a volume of 225 pi cubic feet. What is the diameter of the water
tank? *

Answers

Answer:

10 ft.

Step-by-step explanation:

V = Bh where B = area of the base, which is a circle in your problem.

So, B = [tex]\pi r^{2}[/tex]

225π = π[tex]r^{2}[/tex](9)

[tex]r^{2}[/tex] = 25

r = 5 ft

diameter = 2r = 10 ft.

Which expression is equivalent to 4(6x3)

Answers

Answer: you need to add the choices

Step-by-step explanation:

HELP MATH IS HARD

To rent out the movie theater it costs $150 plus $5 per person p. How much does it cost to rent out the move theater?

Answers

Answer:

750

Step-by-step explanation:

First you find out that it cost $150 to rent out a movie theater plus the extra 5 dollars so you do 150x5 = 750

Good luck :)

A student's work to simplify a radical is shown below. Select the statement which best applies to the sample
mathematical work.
13
6
= X
= X
Thus,
A. The equality /13 x? is incorrect or invalid.
B. Removing the x from under the radical in the second step is incorrect or invalid.
C. The work shown above is correct, however, V7 may be simplified further.
D. The work shown above is correct, and
xVx? may not be simplified further.

Answers

The The answer is 13 by the end

I need help with this equation for math

Answers

Answer:

The answer would be B

Step-by-step explanation:

the y-intercept would be a postive 4 and because it's a negative slope, it would rule out all of them except B.

Answer:

y = -1/2x +4

Step-by-step explanation:

We have two points so we can find the slope

m = (y2-y1)/(x2-x1)

   = ( 0-4)/(8-0)

   = -4/8

   = -1/2

We know the y intercept is 4

The slope intercept form of the line is

y = mx+b where m is the slope and b is the y intercept

y = -1/2x +4

Can someone please help with this question?

Answers

Answer: 21

Step-by-step explanation:

3x+2+5x+10= 180 (the Angles are supplementary)

8x+12=180

8x=168

x=21

what is a real life example of a parabola

Answers

Answer:

A banana could be one

Step-by-step explanation:

In ΔGHI, the measure of ∠I=90°, the measure of ∠G=46°, and IG = 87 feet. Find the length of GH to the nearest tenth of a foot.

Answers

Answer:

See attached

I got an answer of 125.2411251548

or to the nearest tenth 125.2

Step-by-step explanation:

Answer:

125.2

Step-by-step explanation:

Need to get this one right to pass the lesson

Answers

Answer:

0.5

Step-by-step explanation:

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