Which expression represents the number 3+−4−−−√ rewritten in a+bi form?


3+4i

0+5i

3i+2

3+2i

−4i+3

Answers

Answer 1

Question:

Which expression represents the number [tex]3 + \sqrt{-4}[/tex] rewritten in a+bi form?

Answer:

3 + 2i

Step-by-step explanation:

Let y = [tex]3 + \sqrt{-4}[/tex] ...............(1)

[tex]y = 3 + (\sqrt{4}) (\sqrt{-1} )\\[/tex].............(2)

The complex number representation of [tex]\sqrt{-1} = i[/tex]  and [tex]\sqrt{4} = 2[/tex]

Make these substitutions into equation ( 2)

[tex]y = 3 +2i\\[/tex] is in the form a + bi

Where a = 3 and b = 2


Related Questions

In Need OF HELP !!!!!!!! ​

Answers

The answer you’re looking for is B

Using the slope and the yintercept, graph the line represented by the following equation. Then select the correct graph. 2y+4=0

Answers

slope is 0 and the y intercept is -2

the point slope form of the equation of the line that passes through (-9,-2) and (1,3) is y-3=1/2(x-1). What is the slope-intercept form of the equation for this line

Answers

Answer:

y= 1/2x + 2.5

Step-by-step explanation:

We already have the point-slope form of the line.

Convert into Slope Intercept form:

y-3=1/2(x-1)

[tex]y-3=\frac{1}{2}x -0.5\leftarrow \text {Distribute}\\y-3+3=\frac{1}{2}x-0.5+3\leftarrow \text {Subtraction Property of Equality} \\\boxed{y=\frac{1}{2}x+2.5} \text { OR } \boxed{y=\frac{1}{2}x+\frac{5}{2}}[/tex]

Vx
Below is a scale drawing of a stage that Syla is designing,
8 cm
5 cm
Using the scale 1 cm: 7 m, Syla calculated the width, or the shorter side of the stage, to be 35 m. She decides to change the
scale to 1 cm 10 m. What is the width of the new stage?
35 m
50 m
56 m
80 m
Save and Exit
Next
Submit
Mark this and return
PA-Common Core...

Answers

Answer:

I beleive the new stage would be 50 meters wide

Step-by-step explanation:

I took the quiz on ed

5000 people visit a website. 95% stay more than 2 minutes how many people visiting the website stay for more than 2 minutes

Answers

Answer:

4750

Step-by-step explanation:

Take 95, move the decimal. 0.95

then multiply 5000 by 0.95


Plzzzz help fast !!


One month Chris Rented 3 movies and 2 video games for a total of $15 . the next month he rented 8 movies and 4 video games for a total of $33. find the rental cost for each movie and each video game

Answers

Answer:

Both are a total of $3

Step-by-step explanation:

Because if you add 3+2= 5 and then you divided; 15÷5= 3, then you add 8+4=12, and you do the same like the other; 33÷12= 2.75 and if you round it, the answer will be 3.

So in conclusion both the movies and the video games are $3

What is the following product? StartRoot 10 EndRoot times StartRoot 10 EndRoot

Answers

Answer:

it's 10

Step-by-step explanation:

i searched it up.

no jk drtyguhiytr5tyguhigyft fyguhijk

Answers

Answer:

1232

Step-by-step explanation:

13/91= 176/x

1/7=176/x

x= 176*7

x= 1232 bass

The volume of a rectangular tank is 20 000 cm3 . Given that the length is 40 cm and width is 25 cm, find its height

Answers

[tex]answer \\ 20 \: cm \\ solution \\ volume = 20000 \: {cm}^{3} \\ length = 40 \: cm \\ breadth = 25 \: cm \\ height = \\ now \\ v = l \times b \times h \\ \: \: \: \: \: \: or \: 20000 = 40 \times 25 \times h \\ or \: 20000 = 1000 \times h \\ or \: h = \frac{20000}{1000} \\ h = 20 \: cm \\ hope \: it \: helps[/tex]

Answer:

[tex]20cm[/tex]

Step-by-step explanation:

[tex]volume = length \times width \times height \\ 20000= 40 \times 25 \times h \\ 2000 0= 1000h \\ \frac{20000}{1000} = \frac{1000h}{1000} \\ h = 20[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

find the vertical asymptote. y = x - 1 / x + 4

Answers

Answer:

x = - 4

Step-by-step explanation:

Given

y = [tex]\frac{x-1}{x+4}[/tex]

The denominator of y cannot be zero as this would make y undefined.

Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.

x + 4 = 0 ⇒ x = - 4

Thus the vertical asymptote is x = - 4

Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!!

Answers

Answer:
• add 1 to both sides
• take the square root of both sides
• subtract 3 from both sides

Explanation:
The order I gave shows how to solve the problem.

Here are steps...
(x + 3)^2 - 1 = 35
(x + 3)^2 - 1 + 1 = 35 + 1
(x + 3)^2 = 36
x + 3 +- = (square root symbol)36
x + 3 = 6
x + 3 = -6
x + 3 - 3 = 6 - 3
x + 3 - 3 = -6 - 3
x = 3
x = -9

help me please i need this done

Answers

Answer:

[tex]7n-6, \: 4n+8[/tex]

Step-by-step explanation:

[tex]+7[/tex] difference.

So it becomes [tex]7n[/tex].

[tex]7(1)+c=1[/tex]

[tex]c=-6[/tex]

Therefore, the nth term becomes:

[tex]7n-6[/tex]

[tex]+4[/tex] difference.

So it becomes [tex]4n[/tex].

[tex]4(1)+c=12[/tex]

[tex]c=8[/tex]

Therefore, the nth term becomes:

[tex]4n+8[/tex]

Answer:

a) 7n-6

b) 4n+8

Explanation:

a) 7 times tables but take away 6 for the start

b) 4 times tables but add 8 for the start

Answer fast!!
The diagram represents three statements about teachers: p, q, and r.



For how many teachers are both p ∧ r true and q false?

2
4
5
9

Answers

Answer: 5

Step-by-step explanation:

For how many teachers are both p ∧ r true and q false?

(p ∧ r) ∧ (q')

q' = q complement (not in q)

p intersection r = (p ∧ r) = 9

both p ∧ r true and q false = (8+6) - 9

both p ∧ r true and q false = 14 - 9 = 5

OR

p + r - p ∧ r

8 + 6 - 9 = 14 - 9 = 5

Answer:

The answer is C (5) on Edge.

Step-by-step explanation:

Which of the following options represents a logical first step that can be used
to prove the trigonometric identity
cos(x)/ cos(x)+sin(x)tan(x)=cos^2(x)?

Answers

Answer: Option B.

Step-by-step explanation:

Here we can start with the relation

cos(x)^2 + sin(x)^2 = 1

multiply both sides by cos(x)

cos(x) = cos(x)^3 + sin(x)^2*cos(x) = cos(x)^2*(cos(xI + sin(x)^2/cos(x))

now we can replace sin(x)/cos(x) = tg(x)

cos(x) = cos(x)^2*(cos(x) + sin(x)*tan(x))

So the correct option is B

10. Salt and sand mixtures are often used on icy roads. When the mixture is 1 point
dumped from a truck into the staging area, it forms a cone-shaped mound
with a diameter of 100 feet and a height of 60 feet. What is the volume of
the salt-sand mixture?*

Answers

Answer:

The volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

Step-by-step explanation:

We have,

Diameter of a cone-shaped mound is 100 feet

Height of a cone-shaped mound is 60 feet

It is required to find the volume of the salt-sand mixture. The volume of a salt-sand mixture which is in the shape of cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

r is radius of cone, r = 50 feet

So,

[tex]V=\dfrac{1}{3}\times 3.14\times (50)^2\times 60\\\\V=157000\ \text{feet}^3[/tex]

So, the volume of the slat-sand mixture is [tex]157000\ \text{feet}^3[/tex].

if cos =5\13 and 90°≤ø≤180,evaluate cotø,secø,cosø​

Answers

Answer:  [tex]\bold{\cot\theta=-\dfrac{5}{12}\qquad \sec\theta = \dfrac{13}{5}\qquad \cos\theta = \dfrac{5}{13}}[/tex]

Step-by-step explanation:

90° ≤ θ ≤ 180° means that it is in Quadrant II →   x is + ,  y is -

[tex]\cos \theta = \dfrac{5}{13}\quad \rightarrow\quad x = 5, \ r = 13\\\\\\\text{Use Pythagorean Theorem to find y}:\\x^2+y^2=r^2\quad \rightarrow \quad 5^2+y^2=13^2\quad \rightarrow \quad y = -12\\\\\\\cot\theta=\dfrac{x}{y}\quad =\dfrac{5}{-12}\quad =\large\boxed{-\dfrac{5}{12}}\\\\\\\sec\theta=\dfrac{r}{x}\quad = \dfrac{13}{5}\quad = \large\boxed{\dfrac{13}{5}}\\\\\\\cos\theta =\dfrac{5}{13}\quad \text{(Given)}\\[/tex]

if f(x)=1/2x-2 what is f(14)

Answers

Answer:

Hi there!

The correct answer is: 5

Step-by-step explanation:

Essentially they replace x with 14, so all you have to do is plug 14 into the equation. 14 multiplied by 1/2 is 7, because it's the same thing as 14 divided by 2. Then you minus 2 from 7, and you get 5.

Work out 4 x (1+5-8)

Answers

Answer:

-8

Step-by-step explanation:

1+5=6

6-8=-2

4x-2=-8

Answer:

8

Step-by-step explanation:

if you want to work this out use the order of operationsparenthesis is first (1+5-8)we would first do 1 + 5 = 6then 6-8which the answer would make negative6 - 8 = -2then you would do a positive x negative4 x -2 = 8cause a positive x negative = positive

One more question that is very similar to the last problem. I am confused on how to solve the powers in both the numerator and the denominator. Do you think you could help me?

Answers

[tex]answer \\ = \frac{4}{25} \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]

the third one 4/25 would be the answer

Q: 3
^Ignore above^

Just help me again please

Answers

Answer:

d. 192 m^2

Step-by-step explanation:

just multiply length and width

Someone help me with this like right now like right now

Answers

Answer:

C

Step-by-step explanation:

M = K

N = L

M + K + N + L = 360

Answer:

C

Step-by-step explanation:

Hi there I need help with this please

Answers

Answer:

4(x-6)=45

Step-by-step explanation:

x is the number

so a number decreased by six

x-6

all multiplied by 4

4(x-6)

is 45

4(x-6)=45

The first one; if you read the sentence carefully, you’ll get it

Hey if you could help me with this it'd mean a lot I can't figure it out

L+S=17
3L+2S=46
What is S and what is L?

Answers

Answer:

L = 12  S = 5

Step-by-step explanation:

L+S=17

3L+2S=46

Multiply the first equation by -2

-2L -2S = -34

Then add it to the second equation

-2L -2S = -34

3L+2S=46

------------------

L = 12

Now we can find S

L+S = 17

12 + S = 17

Subtract 12 from each side

S = 17-12

S = 5

How can properties of linear pairs and vertical angles help determine the angle measures created by the intersecting lines?

Answers

Answer:

Linear pairs are adjacent angles that are supplementary. Their measures add to 180 deg. Vertical angles are congruent. Let's say two lines intersect, and you know the measure of one of the 4 angles that were formed.

Step-by-step explanation:

What is the surface area of the rectangular pyramid below?
A. 363 units2
B. 484 units2
C. 1026 units2
D. 242 units2

Answers

Answer:

Option (A). 363 units²

Step-by-step explanation:

Surface area of the rectangular pyramid = Area of the rectangular base + Area of the lateral sides of the pyramid

Area of the rectangular base = Length × Width

                                                = 11 × 11

                                                = 121 units²

Area of the lateral sides = 4(Area of one lateral side)

                                        = 4[[tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]]

                                        = 2(11)(11)

                                        = 242 square units

Area of the rectangular pyramid = 121 + 242

                                                      = 363 square units

Therefore, Option (A) will be the answer.

Simplify
8c^3d^2
4cd^2

Answers

Answer:

[tex]2c^{2}[/tex]

Step-by-step explanation:

[tex]\frac{8c^33d^2}{4cd^2}[/tex]

[tex]\frac{2c^2d^0}{1}[/tex]

Answer:

[tex]2 {c}^{2} [/tex]

Step-by-step explanation:

[tex] \frac{8 {c}^{3} {d}^{2} }{4 {c}^{1} {d}^{2} } \\ = 2 {c}^{3 - 1} {d}^{2 - 2} \\ = 2 {c}^{2} {d}^{0} [/tex]

we know that,

[tex] {d}^{0} = 1[/tex]

so,

[tex] = 2 {c}^{2} {d}^{0} \\ = 2 \times {c}^{2} \times 1 \\ = 2 {c}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!


In the diagram above, <1 = 135º.
Find the measure of <3.

Answers

Answer:

The measurement of ∠3 is 135°

Step-by-step explanation:

In the problem, we are given a measurement. The measurement of ∠1 is 135°. We are asked to find the measurement of ∠3.

∠1 and ∠3 are corresponding angles. This means that they will have the same measurements.

So, if m∠1 is 135° then the m∠3 is also 135°

Answer:

m∠=135°

Step-by-step explanation:

These lines are parallel lines, which is indicated by the two arrows towards the right of the lines.

Since these lines are parallel, corresponding angles, such as ∠1 and ∠3 can exist.

Corresponding angles are congruent, which means they have the same measure.

∠1 and ∠3 are corresponding angles, therefore

∠1=∠3

We know that the measure of ∠1 is 135 degrees. Therefore, ∠3 will also have a measure of 135 degrees.

135=∠3

The measure of ∠3 is 135 degrees.

Using this figure A’ is the______Of A.

Answers

Answer:

Reflection

Step-by-step explanation:

Figure A' is the reflection of A as it is reflected from A'

How many real solutions does the equation 8x^2 − 10x + 15 = 0 have?

Answers

Answer:

It has no real solutions.

Step-by-step explanation

Once you calculate the discriminant,  D= (-10)^2 -4 (8)(15), you simplify the expression to get D= -380, which has no real solutions.

Answer:

No solutions

Step-by-step explanation:

Quadratic equations are in the form of ax^2+bx+c, so a = 8, b= -10, and c = 15.

Use b^2 - 4ac to find the discriminant.

-10^2 - 4(8)(15) = -580

If a discriminant is < 0 then there are no real solutions to a quadratic equation. -580 < 0

Therefore, there are no real solutions

CORRECT AND CLEAR ANSWER WILL BE GIVEN BRAINLIEST An object of mass 0.30 kg is thrown vertically upwards and reaches a height of 8.0 m. Calculate: (a) it's final potential energy (b) The velocity with which it must be thrown, neglecting air resistance ( assuming g = 10m/s²)

Answers

Answer:

Final potential energy = 24 Joule

The velocity with which object must be thrown = [tex]4 \sqrt{10}[/tex] m/s

Step-by-step explanation:

Given:

Mass of object, m = 0.30 Kg

Height of object, h = 8 m

Acceleration due to gravity, g = 10 [tex]ms^{-2}[/tex]

a) Formula for Potential Energy:

[tex]E_p =mgh[/tex]

Where m is the mass of object

g is acceleration due to gravity and

h is the height of object

Putting the values of m, g and h

[tex]E_p = 0.3 \times 10 \times 8\\\Rightarrow E_p =24 J[/tex]

b) Formula for initial and final velocity:

[tex]v^{2} =u^{2} +2gh[/tex]

where v is the final velocity

u is the initial velocity with which the object is thrown

g is acceleration due to gravity and

h is the height obtained by object

here v = 0 at the height 8 m because it will come to rest at the point it attains the maximum height.

h = 8m

g = -10 [tex]ms^{-2}[/tex] (negative because the object's velocity is decreasing)

Putting the values to find 'u':

[tex]0^{2} =u^{2} +2 \times -10 \times 8\\\Rightarrow u^{2} = 160\\\Rightarrow u = 4 \sqrt{10}\ m/s[/tex]

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