Help me pls T^T ASAP

What are the conjugate and modulus of –14 – 2i?

A.) 14 + 2i and 8 StartRoot 3 EndRoot
B.) 14 + 2i and 10 StartRoot 2 EndRoot
C.) –14 + 2i and 8 StartRoot 3 EndRoot
D.) –14 + 2i and 10 StartRoot 2 EndRoot

Answers

Answer 1

Answer:

D.) -14 + 2i and 10√2

Step-by-step explanation:

Got it right on Edge

Answer 2

A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit. The correct option is D.

What is a complex number?

A complex number is a number system that extends the real numbers with a particular element labelled "i" known as the imaginary unit, and satisfies the equation i² = -1; every complex number may be represented as a + bi, where a and b are real numbers.

To find the conjugate of a complex number, we change the sign of the complex part of the number. Therefore, the conjugate of -14-2i is -14+2i.

The modulus of the given complex number -14-2i is,

|z| = √[(-14)²+(-2)²]

    = √(196 + 4)

    = √200

    = 10√2

Hence, the conjugate and modulus of –14 – 2i are -14+2i and 10√2, respectively.

Learn more about Complex Number:

https://brainly.com/question/28007020

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Related Questions

I need help with this ASAP, I’ll give brainliest if correct

Answers

Answer:

5 dollars

Step-by-step explanation:

Answer:

The price of an adult ticket is $5

Step-by-step explanation:

5*5=25

31-25=6

4*5=20

62-20=42

42÷7=6

i need help with finding the domain of R​

Answers

Answer:

The domain of R = [-2, ∞)

Step-by-step explanation:

We know that the domain of a function is the entire set of input values for which the function remains real and defined.

Given the attached graph, we can observe that at point x=-2 the graph heads towards positive infinity.

i.e. [-2, ∞) is the interval.

It means from x=-2 onwards to the positive infinity i.e. the interval [-2, ∞), the graph is representing the domain.

Therefore, the domain of R = [-2, ∞)

Which of the following is a root of the polynomial shown below?
f(x) = x2 + 2x2 - x-2
O A. 1
OB. 3
O c. O
O D. 2

Answers

Answer:

We conclude that option A is true as x = 1 is the root of the polynomial.

Step-by-step explanation:

Given the polynomial

[tex]f\left(x\right)\:=\:x^2\:+\:2x^2\:-\:x-2[/tex]

Let us determine the root of the polynomial shown below.

[tex]\:0=\:x^2\:+\:2x^2\:-\:x-2[/tex]

[tex]0=3x^2-x-2[/tex]

switch sides

[tex]3x^2-x-2=0[/tex]

as

[tex]3x^2-x-2=\left(3x+2\right)\left(x-1\right)[/tex]

so the equation becomes

[tex]\left(3x+2\right)\left(x-1\right)=0[/tex]

Using the zero factor principle

[tex]3x+2=0\quad \mathrm{or}\quad \:x-1=0[/tex]

solving

[tex]3x+2=0[/tex]

[tex]3x=-2[/tex]

[tex]\frac{3x}{3}=\frac{-2}{3}[/tex]

[tex]x=-\frac{2}{3}[/tex]

and

[tex]x-1=0[/tex]

[tex]x=1[/tex]

The possible roots of the polynomial will be:

[tex]x=-\frac{2}{3},\:x=1[/tex]

Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.

A girl scout troop makes $1100 in two weekends of selling cookies. If they continued at this rate, how much money would they make in their seven weekend selling season?

Answers

Answer:

$3850

Step-by-step explanation:

It is given that,

A girl scout troop makes $1100 in two weekends of selling cookies.

2 weekend = $1100

1 weekend = $550

For 7 weekend, we will multiply $550 by 7 as follows :

7 weekend = $550 × 7

= $3850

So, for 7 weekend she will need $3850.

hi, can someone pls double-check my answers and let me know if I got any wrong?? :)
1. the sum of 6 and t = 6 + t
2. the product of y and 11
3. the difference of 4 from 12
4. the quotient of 6 divided by t
5. 19 less than 25
6. increase s by 2s
7. decrease 11 by r
8. add 6 times x and 2 times s
9. the quotient of 17 minus 12 and 2
10. the product of 3 and x less 10
11. the product of 7 and 2 divided by 2

Answers: 1. 6 + t
2. 11y
3. 4 - 12
4. 6 / t
5. 25 - 19
6. s + 2s
7. 11 - r
8. 6x + 2s
9. (17 - 12) - 2
10. 3x - 10
11. (7 x 2) / 2

Answers

Answer:

They are all right

Step-by-step explanation:

The graph below plots a function f(x):

If x represents time, the average rate of change of the function f(x) in the first three
seconds is....

Answers

Answer:

-50

Step-by-step explanation:

The average rate of change is synonymous with the slope. Therefore, we will find the slope of the function from x=0 to x=3.

So, we will use the endpoints of the function.

At x=0, f(x)=150. Thus, we have the point (0, 150).

At x=3, f(x)=0. Thus, we have the point (3, 0).

Now, we can use the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let (0, 150) be (x₁, y₁) and let (3, 0) be (x₂, y₂). Substitute:

[tex]m=\frac{0-150}{3-0}=-150/3=-50[/tex]

Therefore, the average rate of change for the first three seconds is -50.

PLEASE help im struggling

Answers

7p x 250miles= 1750p for 250 miles. Plus the 84€ for the 500 other miles is the equation sorry I’m from the US I don’t know euros well I hope this helps

find the value of x​

Answers

Answer:

9x= 360 -180

x= 180/9

x= 20°

Answer:

x = 30

Step-by-step explanation:

The sum of the interior angles of a polygon is

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

Here n = 5, thus

sum = 180° × 3 = 540°

Sum the given angles and equate to 540, that is

x + 106 + 90 + 74 + 8x = 540, simplify

9x + 270 = 540 ( subtract 270 from both sides )

9x = 270 ( divide both sides by 9 )

x = 30

Plz help (wil give brainliest to best answer)

Answers

Answer:

A: Corresponding

B: Alternate interior

C: Corresponding

D: Alternate exterior

E: Same side interior

Step-by-step explanation:

A: One angle is on the interior and one is on the exterior and they are both on the same side of the transversal which makes them corresponding angles

B: Both are in the interior just on opposite sides of the transversal

C: See answer to A

D: Both are on the exterior and they are on opposite sides of the transversal which makes them alternate exterior

E: Both are on the interior on the same side of the transversal which makes them same side interior.

Plz help. Which problem is a linear equation?

Answers

Answer:

I think the answer should be A

While Justin is in training, he is to drink 500 milliliters of water 4 times per day. How many liters of water will that be for one week?

Answers

Answer:

14

Step-by-step explanation:


Which table made this graph?

Answers

Answer:

IV

Step-by-step explanation:

The Y column is the same, and so is the graph.

it is the fourth table given, the y-intercept does not change which the x value does

Which model can be used to represent the number below? 0.111​

Answers

Answer:

The top right one

Step-by-step explanation:

It’s 111 so first find the one with the 10x10 grid then get the one of ten finally get the one with one

Answer: It is the top right.

Step-by-step explanation:

Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions
to the nearest hundredth.
x² + 12x+11=0

Answers

This is your perfect answer

Who cursed Narcissus with forcing him to fall in love with his reflection?
1 point
Hera
Aphrodite
Hestia
Persephone

Answers

Answer:

Aphrodite

Step-by-step explanation:

Aphrodite is the goddess of love. I have done this question!

Solve: -4.2 divided by 12

Answers

Answer: -0.35

Step-by-step explanation:

Answer:

- 0.35

Step-by-step explanation:

4.2 / 12 = 0.35

But you would put a negative sign at the end because the 4.2 was a negative but not the 12. (When only one number is negative in an equation the answer also has to be negativ.)

An Olympic runner completes the 200-meter sprint in 23 seconds. What is the runner’s average speed? (Round your answer to the nearest tenth of a meter per second.)

0.9 m/s
1.2 m/s
8.7 m/s
10.1 m/s

Answers

Answer:

C. 8.7 m/s

Step-by-step explanation:

Answer:

8.7 m/s

Step-by-step explanation:

correct on edge 2021

Solve the equation 7x-4(-4x-16)= -166

Answers

Answer: x = -10

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

Answer:

x= -10

Step-by-step explanation:

7x-4(-4x-16)=-166 foil the ()

7x+16x+64= -166  combine terms

23x+64= -166  subtract 64 to both sides

23x= -230  divide by 23

x= -10

U is a midsegment of AFGH. 1) = 7, FH = 9, and GH= 12. Find the perimeter of AIJH. F​

Answers

Answer:

perimeter of triangle IJH= 17.5

Step-by-step explanation:

line IJ is a midsegment, so you can divide the segments FH and GH by 2.

that means segment IH= 4.5 and segment GH=6. segment IJ is given as 7.

add 4.5 + 6 + 7, which equals 17.5

The length of a rectangle 2 less than 2 times the width. The perimeter is 116ft. Find
the length and width.

Answers

Answer: w = 20 l = 38

Step-by-step explanation:

l = 2w - 2 (based on given info)

p = 2l + 2w (formula for perimeter)

p = 116 (given)

116 = 2l + 2w

116 = 2(2w-2) + 2w (substitute in l)

116 =‘ 4w-4 + 2w

116 = 6w-4

w=20

l=2(20) - 2 = 38

!!!!!!!HELP PLEASE!!!!!!

Answers

Answer: length 48 width 38

Step-by-step explanation: 48+48+38+38=173

As an estimation we are told £3 is €4.
Convert £6 to euros.

Answers

Answer:

This would just simply be doubling €4.

So,

If £3 is doubled to £6

Then €4 is doubled to €8

Lashawn used 44 stamps to mail a package. He used a

combination of $0.50 stamps, $0.35 stamps, $0.02 stamps,

totaling $15.01. If the number of $0.35 stamps is nine less

than twice the number of $0.50 stamps, find the number of

each type of stamp.

Answers

Answer:

Lashawn used 15, $0.50 stamps, 21, $0.35 stamps, and 8, $0.02 stamps to mail the package

Step-by-step explanation:

The given parameters are;

The number of stamps Lashawn used to mail the small package = 44

The price of the combination of 44 stamp = $15.01

The price categories of the stamps are $0.50, $0.35, and $0.02

The number of $0.35 stamps = 2 × The number of $0.50 stamps - 9

Let, x represent the number of $0.50 stamps Lashawn used to mail the package

We have;

The number of $0.50 stamps Lashawn used to mail the package = x

The number of $0.35 stamps = 2 × x - 9 = 2·x - 9

The number of $0.35 stamps = 2·x - 9

The number of $0.02 stamps = 44 - x - (2·x - 9) = 44 - x - 2·x + 9 = 53 - 3·x

The number of $0.02 stamps = 53 - 3·x

Which gives;

0.5 × x + 0.35 × (2·x - 9) + 0.02 × (53 - 3·x) = 15.01

0.5·x + 0.7·x - 3.15 + 1.06 - 0.06·x = 15.01

1.14·x - 2.09 = 15.01

1.14·x = 15.01 + 2.09 = 17.1

x = 17.1/1.14 = 15

x = 15

The number of $0.50 stamps Lashawn used to mail the package = x = 15 stamps

The number of $0.50 stamps Lashawn used = 15 stamps

The number of $0.35 stamps Lashawn used = 2·x - 9 = 2 × 15 - 9 = 21 stamps

The number of $0.02 stamps Lashawn used = 53 - 3·x = 53 - 3 × 15 = 8 stamps.

6
1
1 point
If f(x) = 4x – 11, what is the value of f(5)?
O 20. – 55
0 4
O 9
O 34
2
3

Answers

Answer:

9

Step-by-step explanation:

f(x) = 4x- 11

f(5) = 4(5) - 11

f(5) = 20- 11

f(5) = 9

24
23
22
21十
20-
4
8
12
16

Answers

Answer:

counted down

Step-by-step explanation:

it was counting up and went down by couting down in 2

I’m on a timer I need help with this ASAP!!!!!!!!!!

Answers

I think 186 is the answer I believe sorry if wrong


The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.
What are the length and width of the garden?

Answers

Answer:

The width of the garden is 25 feet

The length of the garden is 60 feet

Step-by-step explanation:

The formula for the perimeter of a rectangle

= P = 2L + 2W

Where L = Length, W = Width

The length of the garden is 10 feet more than twice its width.

P = 170

L = 2W + 10

Hence,

170 = 2(2W + 10) + 2W

170 = 4W + 20 + 2W

Collect like terms

170 - 20 = 6W

150 = 6W

W = 150/6

W = 25 feet

The width of the garden is 25 feet

Remember

L = 2W + 10

L = 2(25) + 10

L = 50 + 10

L = 60 feet

The length of the garden is 60 feet

Describe each of the following transformation that maps the figures described below. Be specific by naming lines of reflection, centers of rotation and degrees of rotation, distance and direction of translations, and centers of dilation with a scale factor. Determine if the transformation is a rigid transformation or a similarity transformation. Explain all reasoning.
Part A: Figure 1 →Figure 4
Part B: Figure 2 → Figure 5

Answers

Answer:

Part A: Figure 1 → Figure 4

Rigid Transformation

Equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin which are types of rigid transformation

Part B: Figure 2 → Figure 5

Similarity transformation

Figure 5 is Figure 2 dilated by a scale factor of 1/2, which is a form of a similarity transformation

Step-by-step explanation:

Part A: Figure 1 → Figure 4

The coordinates of the vertices of the preimage are;

(5, 10), (2, 4), (9, 2)

The coordinates of the vertices of the image are;

(-9, -2), (-2, -4), (-5, -10)

Which is equivalent to a reflection about the origin, or a rotation of 180° clockwise or anticlockwise about the origin

Part B: Figure 2 → Figure 5

The coordinate points of figure 2 are;

(-9, 2), (-5, 10), and (-2, 4)

The coordinate points of figure 5 are;

(1, 2), (2.5, -1), and (4.5, 3)

The lengths of the sides of figure 2 are;

√((10 - 2)² + ((-5) - (-9))²) = 4·√5

√((10 - 4)² + ((-5) - (-2))²) = 3·√5

√((2 - 4)² + ((-9) - (-2))²) = √53

The lengths of the sides of figure 5 are;

√(((-1) - 2)² + (2.5 - 1)²) = (3·√5)/2

√((4.5 - 2.5)² + (3 - (-1))²) = 2·√5

√((4.5 - 1)² + (3 - 2)²) = (√53)/2

Therefore. Figure 5 is Figure 2 dilated by a scale factor of 1/2

Therefore, given that the sides of Figure 2 and Figure 5 are rotated by 180°

We have;

Figure 5 is obtained as follows;

1) The rotation of figure 2 by 180°, clockwise or anticlockwise about the origin to get;

(-9, 2), (-5, 10), and (-2, 4) → (9, -2), (5, -10), and (2, -4)

2) The image is translated left by 1 blocks and up by 6 blocks as follows;

(9, -2), (5, -10), and (2, -4)  → (8, 4), (4, -4), and (1, 2)

3) The image is then dilated by a scale factor of 1/2  with a center of dilation of (1, 2) to get;

Preimage (8, 4), (4, -4), and (1, 2) → Image (1, 2), (2.5, -1), and (4.5, 3).

What Student starts Farther away

Answers

G because the Y-intercept is higher (farther away) then that of student H.
Student G because the Y intercept is higher/ farther away

HELPP!! this is due today and i’m super dumb all help is appreciated

Answers

Answer:

Step-by-step explanation:

all the sides are different than the other on the bottom of the  shape  the sizes have longer sides and one short at the bottom.

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