what is the standard form of 7+3i/2-5i

Answers

Answer 1

Answer:

-1/29+41/29*i

Step-by-step explanation:

(7+3i)/(2-5i)=(7+3i)(2+5i)/(2-5i)(2+5i)=(14+35i+6i+15i^2)/(4-25i^2)=

(14+41i-15)/(4+25)=(-1+41i)/29=-1/29+41/29*i


Related Questions

Nate asked some of his friends how many people live in their homes. The answers were: 4,3,3,6, 10, 7, 4, and 3.
What is the range of the data?

Answers

Answer:

7

Step-by-step explanation:

10-3=7

12.
What is the solution of the equation x2 + 2x - 7 = 0?

Answers

Answer:

cancel out as much of the equation as possible by doing inverse operations so add the 7 to both sides

x2 + 2x = 7

Divide by 2

x2 = 3.5

divide by 2 again

x = 1.75

now change x with 1.75 to check

1.75 x 2 = 3.5

3.5 + 3.5 - 7 = 0 so 1.75 is correct

Hope this helps

Step-by-step explanation:

2 Points
Which of the following show an element of the sample space for flipping 2
coins? (H = Heads, T = Tails)
Check all that apply.
| A. TH
В. ТТ
C. HH
D. HT​

Answers

All of them are correct

Alaine has 1 gallon of paint. She is going to pour it into
paint tray that measures 10 inches wide, 12 inches long, and 5 cm deep.
(1 gallon = 231 in?, 1 inch = 2.54 cm)
Which of the following scenarios will happen?
The paint will not fill the tray by 369 cm
The paint will not fill the tray by 5.22 in
The paint will fill the tray exactly
The paint will overfill the tray by 5.22 in?

Answers

Answer:

First, solve for the volume of the tray by the equation V = L x W x H. Convert first all the dimensions to inches. The operation gives an answer of volume equal to 236.22 in³. Converting the amount of paint available to in³. This gives an answer of 231 in³. Hence, the answer is letter B. 

Step-by-step explanation:

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

Answers

Answer:

[tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].

Step-by-step explanation:

If a line passing through two points, then the equation of line is

[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

It is given that the passing through (1,3) and (-9,-2).  So, equation of line in point slope form is

[tex]\Rightarrow (y-3)=\dfrac{-2-3}{-9-1}(x-1)[/tex]

[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x-1)[/tex]

Slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

Now,

[tex](y-3)=\dfrac{1}{2}(x-1)[/tex]

[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x}-\dfrac{1}{2}(1)[/tex]

[tex]\Rightarrow y=\dfrac{1}{2}(x}-\dfrac{1}{2}+3[/tex]

[tex]\Rightarrow y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex]

Therefore, the required equation is [tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].

Answer:

The Answer is C

Step-by-step explanation:

i think This is correct

Find the first term and common ratio for the geometric sequence a2 =2.5,a4=62.5

Answers

Answer:

a1 = 0.5; common ratio = 5

Step-by-step explanation:

Let the common ratio = r

a2 = 2.5

a3 = 2.5r

a4 = 2.5r * r = 2.5r^2

We are told a4 = 62.5, so

2.5r^2 = 62.5

Divide both sides by 2.5

r^2 = 25

r = 5

a2 = a1 * r

a1 = a2/r = 2.5/5 = 0.5

Answer: a1 = 0.5; common ratio = 5

student is asked to find the length of the hypotenuse of a right triangle. The length of one leg is 34 ​centimeters, and the length of the other leg is 26 centimeters. The student incorrectly says that the length of the hypotenuse is 7.7 centimeters. Answer parts a and b.
a. Find the length of the hypotenuse of the right triangle to the nearest tenth of a centimeter.

Answers

Answer = 42.8

Step-by-step explanation:

All right triangles have one right (90-degree) angle, and the hypotenuse is the side that is opposite or the right angle, or the longest side of the right triangle.[1] The hypotenuse is the longest side of the triangle, and it’s also very easy to find using a couple of different methods. This article will teach you how to find the length of the hypotenuse using the Pythagorean theorem when you know the length of the other two sides of the triangle. It will then teach you to recognize the hypotenuse of some special right triangles that often appear on tests. It will finally teach you to find the length of the hypotenuse using the Law of Sines when you only know the length of one side and the measure of one additional angle

546/5 it is hard it i

Answers

Answer:

109.2

Step-by-step explanation:

If the number being divided does not end in 5 or 0, it being divided by 5 will not be equal. Therefor it might be better to try and use a calculator if you can't do it in your head.

Explanation:

First lets do the long division method. First we need to fit 5 into 5. That would be 1. So we write a 1 above the 546. Then we need to fit 5 into 4. Well it doesn't fit so we write a zero move another number. How many 5s fit into 46 well that would be 9. All we have left is a remainder of 1 which cannot fit into 5 and there are no more numbers

Answer:

109 R 1

If you want a decimal that would be 109.2 or 109 1/5

What is the solution to this system of linear equations? 2x + 3y = 3 7x – 3y = 24 (2, 7) (3, –21) (3, –1) (9, 0)

Answers

2x +3y=3

7x-3y=24

solve the above equations

2x+3y=3

+7x-3y=24

9x=27

x=27/9

x=3

substitute the value of x in 2x+3y=3

2(3)+3y=3

6+3y=3

3y=3-6

3y=-3

y=-3/3

y=-1

so the solution is

{x=3,y=-1}

Answer:

C : (3, -1)

Step-by-step explanation:

The net of a prism is shown.
4 ft
5 ft
4 ft
5 ft
6 ft
3 ft 1
4 ft
5 ft
What is the surface area of the prism?

Answers

Answer:

Step-by-step explanation:

surface area=4×5+2×1/2×3×4+5×5+3×6

=20+12+25+18

=75

Simplify the following polynomial expression. 3x( 4x+5) -4 (-x-3) (2x -5)

Answers

Answer:

20x^2 +19x - 60

Step-by-step explanation:

3x( 4x+5) -4 (-x-3) (2x -5)

Distribute

12x^2 +15x - 4 (-x-3) (2x -5)

FOIL

12x^2 +15x - 4( -2x^2 -6x +5x +15)

12x^2 +15x - 4( -2x^2 -x +15)

Distribute

12x^2 +15x +8x^2 +4x -60

Combine like terms

20x^2 +19x - 60

Answer:

20x ^2 + 19x -60

Step-by-step explanation:

12345678910121314151617181920

PLEASE HELP! WILL MARK BRAINLIEST ANSWER!
The histogram below represents a data distribution with uniform class widths. Which of the following is the median of the data distribution?

Answers

Answer:

5

Step-by-step explanation:

the median means the number in the middle so the number in the middle would be 5

Angle α is in quadrant III, and angle β is in quadrant II. If sin α = –4∕5 and sin β = 1∕2, find cos (α + β).

Answers

Answer:

cos (α + β) = 0.9196

Step-by-step explanation:

Given sin α = –4∕5 and sin β = 1∕2

To get α from sin α = –4∕5,

α = arcsin(-4/5)

α = arcsin (-0.8)

α = -53.13°

If angle α is in quadrant III, then α = 180+53.13 = 233.13° (sin is negative in the 3rd quadrant)

Similarly for sin β = 1∕2

β = arcsin(1/2)

β = arcsin(0.5)

β = 30°

Since  β is in quadrant II,  β = 180-30 = 150°

To find  cos (α + β). where α = 233.13° and  β = 30°

cos (α + β)= cos (233.13 + 150)

= cos 383.13°

cos (α + β) = 0.9196

does anyone know this?

Answers

Answer:

The ? is 4x * (-2x) = -8x².

Answer:

-8x^2

Step-by-step explanation:

-2x*4x=-8x^2

that's pretty much all the work here, I don't know what else to add in the explanation except for that this is a grid that is supposed to help you learn quadratic factoring

hope this is the right answer

3. At Windy Pines Summer Camp, there are 255 campers
and 30 counselors. Express the ratio of counselors to
campers as a fraction in simplest form. Explain its
meaning.

Answers

Answer:

15:2; there are 2 counselors to every 15 campers

Step-by-step explanation:

Which value for x makes the sentence true?
3/4x + 4 += 7

Answers

answer: 4

explanation: i just know

V
Ben and Phoebe are finding the slope of a line. Ben chose two points on the line
and used them to find the slope. Phoebe used two different points to find the
slope. Did they get the same answer? Complete the explanation.
TE
The slope of a line (select)
the same answer.
from point to point, so they (select)
get
PO

Answers

Answer:

They got the same answer

Step-by-step explanation:

A slope is completely linear, and the rate of change is constant, so no matter what points are chosen, the rate of change will be the same.

HURRY HELP PLEASE THANKS
Solve the equation. ​ Don't forget to first simplify each side of the​ equation, if possible. Check each solution.
[tex]\frac{2}{3}x+1=-\frac{1}{3}x+9[/tex]

Answers

Answer:

x = 8

Step-by-step explanation:

Add [tex]\frac{1}{3}x[/tex] to both sides.

x + 1 = 9

Subtract one on both sides.

x = 8

Answer:

x = 8

Step-by-step explanation:

2/3x + 1 = -1/3x + 9

x + 1 = 9

x = 8

Determine the value of z. answers: A) 57° B) 53° C) 121° D) 239°

Answers

Answer: a

Step-by-step explanation:

Answer:

121

Step-by-step explanation:

The exterior angle  measurement is equal to the sum of the opposite interior angles

34+ 87 = z

121 = z

PLEASE HELP I HAVE A TIMER
In the diagram, the measure of angle 1 is (3x)°, and the measure of angle 2 is (12x)°

A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8.

What is the measure of angle 4?
36°
45°
135°
144°

Answers

Answer:

144 degrees.

Step-by-step explanation:

Draw yourself a diagram with 2 horizontal lines and a transversal cutting across it.

After labeling, you will see that angle 4 is the same as angle 1. You can also see that angle 1 and 2 add up to 180, as they are sitting on a straight line.

First, before we get to the angle of 4, we have to find the value of x:

1) angle 1 + angle 2 = 180

3x + 12x = 180

2) solve the above equation for x

15x = 180

3) divide both sides by 15 for x

x= 12 degrees

We know that angle 4 is the same as angle 2, which is 12x degrees.

So, now that we know what x is, 12 x 12 degrees =  144 degrees.

Hope this helped : )

The measure of angle ∠4 is 144°

What are Parallel Lines Cut by Transversal?

Straight, equally spaced lines that never cross each other and are on the same plane are called parallel lines. The angles that are created when any two parallel lines are intersected by a line (referred to as the transversal) have a relationship. Corresponding angles, Alternate Interior Angles, Alternate Exterior Angles, and Consecutive Interior Angles are some of the several pairs of angles that are created at this intersection.

Corresponding angles

When two parallel lines are intersected by a transversal, the corresponding angles have the same relative position

Alternate Interior Angles

Alternate interior angles are formed on the inside of two parallel lines which are intersected by a transversal.

Alternate Exterior Angles

The pairs of angles formed on either side of a transversal that divides two parallel lines are known as alternate exterior angles.

Consecutive Interior Angles

When two parallel lines are cut by a transversal, the pairs of angles formed on the inside of one side of the transversal are called consecutive interior angles or co-interior angles.

Given data ,

The measure of angle 1 = ( 3x )°

The measure of angle 2 = ( 12x )°

Angle 1 and Angle 2 are on the straight lines

So , the sum of the measures of angles = 180°

On simplifying the equation , we get

3x + 12x = 180

15x = 180

Divide by 15 on both sides of the equation , we get

x = 12

Substituting the value of x in the equation , we get

The measure of angle 2 = measure of angle 4 ( corresponding angles )

So , the measure of angle 4 = ( 12x )°

And , the measure of angle ∠4 = 144°

Hence , the angle ∠4 = 144°

To learn more about parallel lines cut by transversal click :

https://brainly.com/question/28182928

#SPJ6

Stella needs fencing for the perimeter of a
rectangular garden that is 16 feet long and
4 feet wide. The fencing she wants is sold
in yards. How many yards of fencing will
she need to buy for the entire perimeter?
(3 feet = 1 yard)

Answers

Answer:

[tex] \boxed{Fencing \: need \: to \: buy \: for \: the \: entire \: perimeter = \frac{40}{3} \: yards} [/tex]

Step-by-step explanation:

Length of rectangular garden (l) = 16 feet

Width of rectangular garden (w) = 4 feet

[tex] 3 \: feet = 1 \: yard \\ \\ 1 \: feet = \frac{1}{3} \: yard [/tex]

[tex] \\ = > Perimeter \: of \: rectangular \: garden = 2(l + w) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2(16 + 4) \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 20 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40 \: feets \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =40 \times \frac{1}{3} \: yards \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{40}{3} \: yards[/tex]

What is the sum o[tex]\sqrt{-} 2 and \sqrt{} -18[/tex]

Answers

Answer:

Step-by-step explanation:

[tex]\sqrt{-2}=\sqrt{2}i\\\\\sqrt{-18}=\sqrt{2*3*3}i=3\sqrt{2}i\\\\\sqrt{-2}+\sqrt{-18}= \sqrt{2}i+3\sqrt{2}i\\ =(1+3)\sqrt{2}i\\\\=4\sqrt{2}i[/tex]

Which system of equations is graphed below? On a coordinate plane, a line goes through (0, 1) and (4, negative 2) and another goes through (0, negative 6) and (6, 0). x minus y = 6. 4 x + 3 y = 1. x minus y = 6. 3 x + 4 y = 4. x + y = 6. 4 x minus 3 y = 3. x + y = 6. 3 x minus 4 y = 4.

Answers

Answer:

The correct option is (B)

(B) x-y = 6 , 3x+4y = 4

Step-by-step explanation:

As we can see in the graph given below, both lines intersect at (4, -2), which should be the solution of given equations:

Find the values of x and y for (B);

x - y = 6 ⇒ (i)

3x + 4y = 4 ⇒ (ii)

Lets consider equation (i)

x - y = 6

x = 6 + y

Substitute in equation (ii)

3(6+y) + 4y = 4

18 + 3y + 4y = 4

7y = -14

y = -2

Substitute in equation (i)

x - (-2) = 6

x + 2 = 6

x = 6 - 2

x = 4

As solution of part C is also (4, -2), it represents the graph

You can also find the (x, y) for other options the similar way, which will show you they don't have the same value

Answer:

its  B

Step-by-step explanation:

plsssss help due todayy!!

Answers

[tex]answer \\ = 44 \ \frac{7}{8} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

the ratio of adults to children in a schoolyard is 2 to 23. if there are eight adults in the schoolyard, how many children are there?

Answers

Answer:

92

Step-by-step explanation:

If the ratio of adults to kids is

2:23

it will also be equal as

8:92

Multiplying each half times 4!

Which of the following is true about translations? Question 2 options: A) Translation changes the lengths of the image. B) Translation creates an image congruent to the given image. C) Translation changes the shape and angles of the image. D) Translation creates an image similar to the given image.

Answers

Using translation concepts, it is found that the correct statement is given by:

B) Translation creates an image congruent to the given image.

D) Translation creates an image similar to the given image.

What is a translation?

A translation is represented by a change in the image position, keeping the angles and the length's of the sides.

The translated image is congruent and similar to the original image, hence options B and D are correct.

More can be learned about translation concepts at https://brainly.com/question/4521517

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Answer:

D) Translation creates an image similar to the given image.

Step-by-step explanation:

a line passes through the points (4, -1) and (2, 3), what is the slope of the line?

A, 2
B, 1/2
C. -1/2
D. -2

Answers

The right answer is -2.

please see the attached picture for full solution..

Hope this helps..

Good luck on your assignment

Answer: The social structure of the workplace changed as a result of the Industrial Revolution as well, because laws were passed that allow people to receive days off from work, capped hours and reasonable condition

Step-by-step explanation:

A same side interior angle of two parallel lines is three times the other same side interior angle. Find the measures of these two angles.

Answers

Answer: The angles are 135° and 45°.

Step-by-step explanation:

In this situation, we have two parallel lines that are cut by another line, and the interior angles are the ones created in between the parallel lines and the third line.

If both angles are on the same side, then we must have that the sum of the angles adds up to 180°.

If the angles are A1 and A2 we have:

A1 + A2 = 180°

and,  we also know that A1 = 3*A2, we can replace it in the previous equation and get:

3*A2 + A2 = 180°

4*A2 = 180°

A2 = 180°/4 = 45°

then A1 = 3*45° = 135°

The angles are 135° and 45°.

What is the product?

pls help dis is timed :(

Answers

Answer: I think is c

Step-by-step explanation:

Factor completely 16x2 + 40x + 25. (4x − 5)(4x − 5) (2x − 5)(2x − 5) (2x + 5)(2x + 5) (4x + 5)(4x + 5)

Answers

Answer:

work is shown and pictured

Answer:

(4x + 5)(4x + 5)

Step-by-step explanation:

Took test.

Want a more in-depth explanation? Try visiting the Math Nation site.

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