Select all the parallelograms.

Answer:

  B. cos(pi/2) +i·sin(pi/2)

Step-by-step explanation:

You can convert to rectangular and back, or you can use the trig function relations directly.

  w = 4·cis(π/2) = 4i

  z = 3·cis(3π/2) = -3i

Then the sum is ...

  w +z = 4i -3i = i = cis(π/2) . . . . matches choice B

__

An alternative representation of z is ...

  z = -3·cis(π/2)

Then ...

  w +z = 4·cis(π/2) -3·cis(π/2) = cis(π/2)

_____

Additional comment

In the above, we have used cis(α) to represent (cos(α) +i·sin(α)).

Answer:

32

Step-by-step explanation:

The shape in image is an equilateral triangle which means all of it's angles has equal measurements:

2x - 4 = 5y and that is equal to 60 degrees

2x - 4 = 60 add 4 to both sides

2x = 64 divide both sides by 2

x = 32

Answer:

-2

Step-by-step explanation:

rise over run is 2/1 and y is decreasing as x is increasing so its negative

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:  

Z  < − 6

Interval Notation:

( − ∞ , − 6 )

Step-by-step explanation:

Answer:

z<-6

Step-by-step explanation:

4-5Z>34

-5z>34-4

-5z>30

z<-6

Answer:

the topic of a piece of informational writing: C. the subject or focus

The topic of an informative piece is the writer's feelings about the subject which is the correct answer that would be an option (B).

Informational writing is a piece of writing that is truthful and aims to educate or explain a topic to the reader. This teaches primary school students how to write realistic, insightful essays on a variety of topics.

It gives the reader fundamental information about a certain issue, which serves to inform the reader. Informational writing, unlike other types of writing, does not aim to influence the reader's opinion or inspire them to take action.

The informational writing is straightforward and succinct. It does not include any superfluous words, flamboyant notions that might confuse the readers or too detailed terminology.

Therefore, the correct answer would be option (B).

Learn more about the Information writing to click here:

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Answer:

Positive i s the correct answer.

I hope it will work out

Answer:

Call the number we need to find a.

Inequality: (12 + a) ÷ 2 < 27

<=> 12 + a < 54

<=> a < 54 - 12

<=> a < 42

Answer:

see below for answer

Step-by-step explanation:

(4p^2+32p)/(p-2)=(4p(p+8))/p-2

(p^2+p-6)/(2p^3+16p^2)=(p+3)(p-2)/(2p^2)(p+8)

(4p(p+8)/(p-2))*((p+3)(p-2)/((2p^2)(p+8)))=2(p+3)/p

15% of $18 is $2.70...........

1) True

2) True

3) False

4) False

5) False

6) True

7) True

8) False

Answer:

Step-by-step explanation:

All pentagons angles = 540

540 - 107 - 100 - 96 - 119 = 118

Hope it helped!

Kavitha

Answer:

The answer above is in fact correct

Step-by-step explanation:

107+100+96+119+118=540

Answer: The answer is 12q-1/2

Step-by-step explanation:

Answer:

4s + 2

Step-by-step explanation:

The way we find the perimeter is we add up all the sides

s+1 + s + s+1 + s

Now we add up light terms and we get 4s+2 as our answer

Answer:

4s+2

Step-by-step explanation:

For perimeter we just have to add up all the sides.

So the equation would look like this:

s + s + (s+1) + (s+1)

There are 4 s variables and 1+1=2

So this can be simplified into :

4s+2

Hope this helps!

(Pls mark as brainiest)

Thanks!

Answer:

-1 1/2

Step-by-step explanation:

1/2 is positive and - 2 is negative

Answer:

yes, the question is proportional. if you multiply 9.50 by 2 you get 19 and so on and so forth. the constant rate is 9.50

y=0.2x

#0

[tex]\\ \sf\longmapsto y=0.2(0)=0[/tex]

#5

[tex]\\ \sf\longmapsto y=0.2(5)=1[/tex]

#10

[tex]\\ \sf\longmapsto y=0.2(10)=2[/tex]

#15

[tex]\\ \sf\longmapsto y=15(0.2)=3[/tex]

#20

[tex]\\ \sf\longmapsto y=0.2(20)=4[/tex]

Step-by-step explanation:

The given Eqⁿ is, [tex]{ \purple{ \sf{y = 0.2x}}}[/tex]

[tex]{ \star}[/tex]Put x = 0, then

[tex]{ \purple{ \sf{y = 0.2(0) = 0}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y )\: = (0,0)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 5, then

[tex]{ \purple{ \sf{y = 0.2(5) = 1}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (5,1)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 10, then

[tex]{ \purple{ \sf{y = 0.2(10) = 2}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x ,\: y) \: = (10,2)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 15, then

[tex]{ \purple{ \sf{y = 0.2(15) = 3}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (15,3)}}}}[/tex]

[tex]{ \star}[/tex]Put x = 20, then

[tex]{ \purple{ \sf{y = 0.2(20) = 4}}}[/tex]

[tex]{ \boxed{ \red{ \sf{(x, \: y) \: = (20,4)}}}}[/tex]

Answer:

b

Step-by-step explanation:

If you multiple each side by 3 then they will equal the numbers that b has

Answer:

Consecutive interior angles

Step-by-step explanation:

Answer:

Y=4

Step-by-step explanation:

Let's solve your equation step-by-step.

2y+29−8y=5

Step 1: Simplify both sides of the equation.

2y+29−8y=5

2y+29+−8y=5

(2y+−8y)+(29)=5(Combine Like Terms)

−6y+29=5

−6y+29=5

Step 2: Subtract 29 from both sides.

−6y+29−29=5−29

−6y=−24

Step 3: Divide both sides by -6.

−6y/-6=-24/-6

y=4

Hope this Helps

Answer:

So for the 9's facts, we can use a 10's fact, and then just subtract one group. For example, for 9×3, first do 10×3 to make 30, and then subtract one group of 3 to make 27. For 9×7, first do 10×7 to make 70, and then subtract one group of 7 to make 63.

Answer:

16 players can be brought to the tournament. The equation is written within my step-by-step explanation.

Step-by-step explanation:

Variable p = number of players

Set up an equation:

974.50 + 60.75p = 1946.50

Isolate variable p:

60.75p = 972

Divide:

p = 16

Check your work:

974.50 + 60.75(16) = 1946.50

974.50 + 972 = 1946.50

1946.50 = 1946.50

Answer:

88 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides, then

180° (n - 2) = 15480° ( divide both sides by 180° )

n - 2 = 86 ( add 2 to both sides )

n = 88

Answer:

D

Step-by-step explanation:

It says that f(1/3x)=g(x), so scale factor is 1/3 and it is across the y axis because f(x) is basically y.

The correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Let us take the function g(x) as f(1/3 x).

This means that g(x) takes the value of f at  1/3 of x's value.

If f(2) = 4, then g(6) = f(1/3×6) = f(2) = 4.

When we replace x with 3x, we are compressing the graph of f horizontally by a factor of 1/3.

This is because every point on the graph of f now has 1/3 of its original x-coordinate.

The point (2, 4) was on the graph of f, it is now on the graph of g as (6, 4).

The scale factor is less than 1 because we are compressing the graph horizontally, which means the x-values are getting smaller.

Therefore, the correct statement is that the graph of function f is compressed horizontally by a scale factor of 1/3 to create the graph of function g.

To learn more on Graph click:

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Answer:

26.55°C

Step-by-step explanation:

21.85 - - 4.7

21.85 + 4.7

26.55

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Answer:

Step-by-step explanation:

1.)  [tex]c = \sqrt{a^{2} +b^{2} }[/tex]

a = 10, b = 7, c = x?

10+7= x

[tex]10^{2} + 7^{2} =x^{2}[/tex]

100 + 49 = [tex]x^{2}[/tex]

149 = [tex]x^{2}[/tex]

[tex]\sqrt{149} =[/tex] 12.206...

x = 12.2

2.) x + 19 = 21

[tex]x^{2} + 19^{2} =21^{2}\\21^{2}-19^{2} = x^{2}[/tex]

441 - 361 = [tex]x^{2}[/tex]

80 = [tex]x^{2}[/tex]

[tex]\sqrt{80}[/tex] = 8.94

x = 9

3.) x + 16 = 27

[tex]x^{2} + 16^{2}= 27^{2} \\27^{2} -16^{2} =x^{2}[/tex]

729 - 256 = [tex]x^{2}[/tex]

473 = [tex]x^{2}[/tex]

[tex]\sqrt{473}[/tex] = 21.74

x = 21.7

4.) 12.8 + 5.3 = x

[tex]12.8^{2} + 5.3^{2} =x^{2} \\163.84 + 28.09 = x^{2}\\191.93 = x^{2} \\\sqrt{191.93} = 13.85\\x = 13.9[/tex]

8.) x = 11.48 ft

a = 3.5 ft , b = x=? , c = 12 ft

[tex]3.5^{2} + x^{2} =12^{2} \\12.25 +x^{2} =144\\144-12.25=x^{2} \\131.75 = x^{2} \\\sqrt{131.75} =11.48\\x = 11.48[/tex]

9.) x = 32.078 feet

[tex]14^{2} +x^{2} =35^{2}\\196 + x^{2} =1225\\1029 = x^{2} \\\sqrt{1029} = 32.078 ft\\x = 32.078 ft\\[/tex]

10.) perimeter = 31.96

hope this helped a lot

mark me brainliest :D

Answer:

V = x^15

Step-by-step explanation:

(x^5)^3 = x^15

I hope you have your answer now

Answer:

y = 5x - 32

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

y = 5x - 2 ← is in slope- intercept form

with slope m = 5

Parallel lines have equal slopes, then

y = 5x + b ← is the partial equation

To find b substitute (6, - 2 ) into the partial equation

- 2 = 30 + b ⇒ b = - 2 - 30 = - 32

y = 5x - 32 ← equation of parallel line

Answer:

12

Step-by-step explanation: