PLEASE HELP how do i solve (5-3i)^2

Answers

Answer 1

Answer:

16-30i

Step-by-step explanation:

This is what I got :)

Answer 2

Answer:

16−30i

Step-by-step explanation:

Use Square of Difference: {(a-b)}^{2}={a}^{2}-2ab+{b}^{2}(a−b)  

2

=a  

2

−2ab+b  

2

.

{5}^{2}-2\times 5\times 3\imath +{(3\imath )}^{2}

5  

2

−2×5×3+(3)  

2

 

2 Simplify  {5}^{2}5  

2

  to  2525.

25-2\times 5\times 3\imath +{(3\imath )}^{2}

25−2×5×3+(3)  

2

 

3 Use Multiplication Distributive Property: {(xy)}^{a}={x}^{a}{y}^{a}(xy)  

a

=x  

a

y  

a

.

25-2\times 5\times 3\imath +{3}^{2}{\imath }^{2}

25−2×5×3+3  

2

  

2

 

4 Simplify  {3}^{2}3  

2

  to  99.

25-2\times 5\times 3\imath +9{\imath }^{2}

25−2×5×3+9  

2

 

5 Use Square Rule: {i}^{2}=-1i  

2

=−1.

25-2\times 5\times 3\imath +9\times -1

25−2×5×3+9×−1

6 Simplify  2\times 5\times 3\imath2×5×3  to  30\imath30.

25-30\imath +9\times -1

25−30+9×−1

7 Simplify  9\times -19×−1  to  -9−9.

25-30\imath -9

25−30−9

8 Collect like terms.

(25-9)-30\imath

(25−9)−30

9 Simplify.

16-30\imath

16−30


Related Questions

Frank the earth, llc signed a three-year lease for office space. This lease is considered an what?

Answers

Answer: Long-term Liability

Step-by-step explanation:

This question relates to the classification of the lease above in accounting.

A long term liability is a payment that is owed by a company for a period lasting more than a year.

When a lease is for more than a year as is the case here, you take the present value of the lease and consider that amount to be a long term liability because it would represent an amount that the company is to pay for more than a single period.,

How many terms are in the expression?
12a-2c+6​

Answers

Answer:

3

Step-by-step explanation:

bc you can trust me

Please helpppp 15 points!!!​

Answers

Answer:

105 students and 150 guests

Step-by-step explanation:

equation to find the answer are

1x + 5y = 855

x + y = 255

with

x + y = 255

x = 255 - y

now we replace x with (255 - y) into 1x + 5y = 855 to find y

1(255 - y) + 5y = 855

255 - y + 5y = 855

255 + 4y = 855

4y = 855 - 255

4y = 600

y = 150 (number of guests)

now we got y = 150, let's find x

x + y = 255

x + 150 = 255

x = 255 - 150

x = 105 (number of students)

(Please heart the answer if you find it helpful, it's a motivation for me to help more people)


Which graph represents the function f(x)=2x-2/x-2

Answers

Answer:

graph in attachment.

Step-by-step explanation:

A recipe needs 1/4 tablespoons salt. the same recipe is made 5 times how much salt is used?
BTW IM IN 8TH GRADE BUT THE SCHOOL HAS NUN 4 US TO DO SO NOW THERE MAKING US LEARN THE SAME STUFF AGAIN AND I DONT REMEBER SO YA

Answers

Answer:    1 and one fourths because 1/4 times 5 is 1 1/4

Step-by-step explanation:

Answer:

1 1/4 tablespoons

Step-by-step explanation:

1/4 x 5=1 1/4 tablespoons

What is the equation graph below?

Answers

Answer: y =7/4x

Step-by-step explanation:

The y-intercept is 0. To find the slope, do the change in y over the change in x. At the point on the graph, there is a slope of 14/8 = 7/4

Which transformation would take Figure A to Figure B

Answers

Answer:

6 squares to right and 6 squares down

Step-by-step explanation:

Go with the coordinate (-1, 5) on shape A

Hope it helps :)

Move 6 squares to right and 6 squares down.

The initial coordinate that is the x value is -5 and the transformation figure has x value 5.

So move figure A 6 squares to the right . And then move 6 squares to the down we get the transformation figure B.

Therefore, by moving 6 squares to right and 6 squares to down we get the transformation figure B.

Learn more:https://brainly.com/question/7161333

What is the surface area?

Answers

Answer:

i think its 79

Step-by-step explanation:sorry if im wrong because if i am then i did incorrect math

Answer:

152 yards

Step-by-step explanation:

If you look at the rectangular side, the length is 8, and the width is 5.

The area of this side is 40 yd!

Since this is a 3D shape, there are two of that side.

40 times 2 = 80

Next, the triangle side!

The area of a triangle is base times height divided by 2.

So, this triangle is:

6 times 4 divided by 2 = 12

The area of one triangle side is 12, but there's two!

12 times 2 = 24

Lastly, there's a bottom.  6 times 8 = 48.

Now add them up!

152 yards

Hope this helps!

What is an equation of the line that passes through the points (4,-4) and (-4,-4)

Answers

Answer:

Step-by-step explanation:

Use the formula x-x1/x1-x2 = y-y1/y1-y2

Write each fraction as an expression using a negative exponent other than -1. 3. 1 ___________ 4 24. 1 ___________ 100

Answers

Answer:

[tex]\frac{1}{4} = 2^{-2}[/tex]

[tex]\frac{1}{100} = 10^{-2}[/tex]

Step-by-step explanation:

The question is poorly formatted. However, I am able to get:

1. 1/4 and 2. 1/100

Required

Write as an expression of negative expression

1. 1/4.

Express 4 as 2^2

[tex]\frac{1}{4} = \frac{1}{2^2}[/tex]

Apply

law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]

[tex]\frac{1}{4} = 2^{-2}[/tex]

2. 1/100.

Express 100 as 4^2

[tex]\frac{1}{100} = \frac{1}{10^2}[/tex]

Apply law of indices [tex](\frac{1}{a^b} = a^{-b})[/tex]

[tex]\frac{1}{100} = 10^{-2}[/tex]

The temperature is −3.4 degrees Celsius. The temperature goes down 7.9 by degrees. What is the new temperature? pls help me its due in 10

Answers

Answer:

-11.3 is the answer

Step-by-step explanation:

because -3.4-7.9= -11.3

What is the measure of ZZWY is rhombus WXYZ? *

Answers

Answer:

51.5

Step-by-step explanation:

add it up

Find the equation of direct variation,
given that y varies directly with x,
and x is 36 when y is 99.

Answers

Answer G. 99/36= 11/4x

Please Help!

Which Triangles are similar and why?

Answers

Both because they are all the same triangle

Give the least common denominator: 3/4, 7/8 _____

Answers

Step-by-step explanation:

step 1. LCD of 3/4 and 7/8 is 8.

Christina wants to buy shirts that cost $17.00 each. If x represents the number of shirts Christina buys, which equation shows the amount of money (M) she will pay for the shirts?

Answers

Answer: 17x

Step-by-step explanation:

From the question, we are informed that Christina wants to buy shirts that cost $17.00 each and we are further told that x represents the number of shirts Christina buys.

The equation shows the amount of money (M) she will pay for the shirts will be gotten by multiplying the amount of the each shirt by the total number of shirts bought. This will be:

= 17 × x

M = 17x

The graph shown here is the graph of which of the following rational
functions?
FOO
5
A. F(x) = x(x+1)
B. F(x) = 4+1
X(X-2)
C. Fx) =
(x - 2)(x + 1)

Answers

Answer:

the graph of the rational function is B

Answer:

Step-by-step explanation:

B

In ΔSTU, u = 40 inches, ∠S=73° and ∠T=71°. Find the length of t, to the nearest inch.

Answers

Answer: 64 inches

Step-by-step explanation: Solve using sohcahtoa for missing info

Hayden reaches into his dresser and pulls out a red shirt, but does not like it and throws in onto the bed. What is the chance that the next shirt he pulls out of the dresser will be Purple?
A. 2/10
B. 4 in 10 chance
C. 4 in 9 chance
D. 1/9 chance

Answers

Answer:

how many of each color are in the dresser?

Step-by-step explanation:

So assuming there are 10 shirts total, (since it wasn’t specified) and one red is taken out, there would be 9 shirts left. And out of that, the information needed is the indication of how many purple shirts there is, so if there’s one purple shirt, it’s D, if there’s 4, it’s C. Does that make sense?

In a tennis tournament, 25% of Sarah’s serves were aces. Design a simulation to predict how many aces you expect Sarah to serve out of 50 serves

Answers

Answer:

about 13 aces

Step-by-step explanation:

.25 x 50= 12.5

25% is equal to .25, you are trying to find 25% of 50. Of means multiple,

so how you get the equation .25 x 50, you can't have half a serve so you round up to 13 aces  

compare by using < > or = between the pairs of numbers l - 8l ____ l2l


here are 15 points if you help me lovely person ;)

Answers

Answer:

It is >

Step-by-step explanation:

because the absolute value of -8 is 8 and the absolute value of 2 is 2 so 8 is bigger than 2

help please will give brainliest ​

Answers

Answer:

R=0.25

Step-by-step explanation:

Y=RX

2=R×8

2/8=8R/8

R=0.25

I need this answered in 5 minutes!

Answers

Answer:

Step-by-step explanation:

a.19*5= 95

b.65*5= 325

c. 0*5=0

if my anwser helps please mark as brianliest.

Suppose ABC and DEF are complementary angles. If ABC = (5x + 7)º
and ABC = (3x + 3)', What are the measures of the two angles?

Answers

Answer:

The first will be 16.6

The second will be 29

Step-by-step explanation:

Hope this Helped

[tex]5x + 7 = 90[/tex]

[tex]3x + 3 = 90[/tex]

Hudson is selling water bottles at a baseball game to help raise money for new uniforms. Before the game, he buys two cases of 24 water bottles for a total of $18.50. At the game, he sells all of the bottles for $1.25 each. How much profit does Hudson make?

Answers

Answer:

12.50

Step-by-step explanation:

1.25x 24= 30

30

   -

18.50

____

12.50

Number of water bottles Hudson buys :

[tex] =\tt 24 \times 2[/tex]

[tex] = \tt48[/tex]

Thus, Hudson buys 48 water bottles.

Cost price of 48 water bottles = 18.50

Cost price of 1 water bottle :

[tex] =\tt \frac{18.50}{48} [/tex]

[tex]\color{plum} =\tt \$0.38[/tex]

Thus, cost price of one water bottle = $0.38

Selling price of one water bottle = $1.25

Selling price of 48 water bottles :

[tex] = \tt48 \times 1.25[/tex]

[tex]\color{plum}=\tt \$60[/tex]

Thus, selling price of 24 water bottles = $60

Which means :

▪︎Cost price = $18.50

▪︎Selling price = $60

Profit = Selling price - Cost price :

Profit Hudson made :

[tex] =\tt 60 - 18.50[/tex]

[tex]\color{plum} = \tt\$41.5[/tex]

Thus, profit Hudson made = $41.5

We know that :

[tex]\color{hotpink}\tt \: Profit \: Percentage =\color{plum} \frac{profit \times 100}{cost \: price} [/tex]

Percentage of profit Hudson made :

[tex] =\tt\frac{41.5 \times 100}{18.50 \times 100} [/tex]

[tex] =\tt \frac{4150}{1850} [/tex]

[tex]\color{plum} =\tt 2.24\%[/tex]

Thus, percentage of profit Hudson earned = 2.24%

Therefore,

● Profit Hudson made = $41.5

● Percentage of profit Hudson made = 2.24%

work out the value of x

Answers

A full circle is 360°.

x + 3x + 90° = 360°

4x = 360° - 90°

4x = 270°

4x/4 = 270°/4

x = 67.5°

Hope it helps! Make me brainliest if it’s correct.

Triangle PQR has coordinates P (2, 4), Q (-2, 4), R (0,-6).
Write the coordinates of the vertices of the image of a
triangle after a dilation of 2.5.
Select 3 coordinates only.
A) P' (5, 10)
B) P' (0.8, 1.6)
C) Q' (-5, 10)
D) Q' (-0.8, 1.6)
E) R' (-6,0)
F) R' (0, -15)

Answers

Answer: P’ (5,10) , Q’ (-5,10) , R’ ( 0,-15)

Step-by-step explanation:

Just multiply 2.5 by the x,y

Answer:dec I think

Step-by-step explanation:

Br uh don’t even type “I can’t see the pic” Solve both problems and show ur work

Answers

Answer:

1.22

53.08

Step-by-step explanation:

4. We can find the quarter circle, we can find the whole triangle, lets do that

The circle is, 1/4*(1)^2*pi, which is 1/4pi

The triangle is, 2 * 2 divided by 2, which is 2

2 - 1/4pi gives us the shaded part or

2 - 1/4*3.14

2 - 0.785 = 1.215 rounded to 1.22

5. The area of a cylinder is pir^2h. r is 10, h is 1.2

12pi cm^3

we have 20 m^3 which is 2000 cm^3

Let's divide,

2000/37.68 = 53.078, rounded gives us 53.08

GIVING BRAINLIEST!!!

Answers

Answer:

i think its 78.5 but the answers not on there the closest one there to it is 76.5 so just put that one

Step-by-step explanation:

geometry: help me please!

Answers

Answer:

DF = 28 units

AC = 64 units

CF = 32 units

Step-by-step explanation:

In the given triangle ABC points D, E and F are the midpoints of the sides AB, BC and AC.

By midsegment theorem,

"Segment joining the midpoints of each side is parallel and measure the half of the opposite side"

DF = [tex]\frac{1}{2}(BC)[/tex]

     = [tex]\frac{56}{2}[/tex]

     = 28 units

AC = 2(DE)

     = 2 × 32

     = 64 units

CF = [tex]\frac{1}{2}(AC)[/tex]

     = [tex]\frac{64}{2}[/tex]

     = 32 units

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