The distance between the complex numbers z1 = 7 – 2i and z2 = 3 - 3i is ________

Answers

Answer 1

Answer:

sqrt(17)

Step-by-step explanation:

the distance is

|(7-2i) - (3-3i)| = |4 + i|

remember, the absolute value of a complex number is

|a+bi| = sqrt(a²+b²)

in our case

sqrt(4² + 1²) = sqrt(16+1) = sqrt(17)


Related Questions

Rewrite with only sin x and cos x.

sin 2x - cos x

Answers

Answer:

2sinxcosx - cosx OR cosx(2sinx - 1)

Step-by-step explanation:

Use the double angle identity for sin2x.

sin2x = 2sinxcosx

Substitute sin2x with 2sinxcosx.

2sinxcosx - cosx

Factor out cosx, if needed.

cosx * (2sinx - 1)

Answer:

[tex]{ \tt{ \sin2x - \cos x }} \\ = { \tt{(2 \sin x \cos x) - \cos x }} \\ = { \tt{ \cos x(2 \sin x - 1) }}[/tex]

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEE

Task #3 Mariam’s Job
Date Completed:

Mariam makes $50 a week.
a) Show this relationship in a graph below.


b) What is the unit rate of the line in the equation?

c) What is the connection between the unit rate and the amount of money Mariam makes per week?

d) Write the equation for this relationship.

e) Is this a proportional relationship? Justify your answer.

Answers

Answer:

a

Step-by-step explanation:

A man, 1.5m tall, is on top of a building. He observes a car on the road at an angle of 75°. If the building is 30m, how far is the car from the building?​

Answers

A man 30 m tall is ab 20 if anything

A square + B square

Answers

Soln: Formula for a²+b² can be given by two types.

(i). a²+b² = (a+b)² - 2ab

= a²+2ab+b²-2ab

= a²+b²

=> LHS = RHS

Therefore, hence proved!

(ii). a²+b² = (a-b)² + 2ab

= a²-2ab+b²+2ab

=> LHS = RHS

Therefore, hence proved!

Hence, a²+b² = (a+b)² - 2ab

'OR'

a²+b² = (a-b)² + 2ab

Thank you. ☺️

hope it helps

Activity 1
1. How much space in the room will a cabinet occupy if it is 1.5 m long, 0.34 m wide and 2.5 m high?
2. A box is 2,5 dm long and 5pm high it's volume is 62.5 dm. How wide it is?
3.Alberto made a cubical box 3cm on a side. What is the capacity of the box?

Answers

Step-by-step explanation:

my answer is in the image above

22. You are traveling on a highway starting at point A. After you have
traveled 63 miles (point B), you see a sign that says it is 87 miles
(point B), you see a sign that says it is 87 miles to your destination
(point C). . Find the total distance you will travel to get to your
destination.
A А
63 mi
B.
87 mi
С

Answers

Answer:

150 miles

Step-by-step explanation:

63 + 87 = 150

Please I need help asap, I will mark the best answer as Brainliest and give 20 points. I really need this if Im going to be able to study

Answers

Answer: The new point might be is 47,8 by applying the rule to both x and y

Step-by-step explanation:

A custodian has 5 and 1/2 gallons of paint each of the book cases she is painting requires 1/2 gallon of paint how many book cases will the custodian be able to paint with that amount of paint A.3 B.4 C.11 D.15

Answers

Answer:

Option C.

Step-by-step explanation:

find the value of x to the nearest tenth
a. -4.4
b. 7.5
c. 1.9
d. 3.5

Answers

Answer:

B

it is b because 7,5 is nearest

The answer is B. 7.5

This is because to find x you can do the tangent of 62 and create the equation tan62=x/4

Next you need to multiply both sides by 4.

When you do this you get an answer of 7.5

smallest to biggest pls

Answers

Step-by-step explanation:

45.399,45.454,45.545,45.933

The function is f(x) is shown on the graph.


What is f(0)
•12 only
•2 and 3 only
•-2, -1, 1, and 2 only
•-2, -1, 1, 2 and 12

Answers

Answer:

12 only

Step-by-step explanation:

The function is given on the graph.

What is f(0)?

This is the value of y when x = 0.

Looking at the horizontal axis, when x = 0, the vertical axis is at y = 12, and at no other point the horizontal axis is at x = 0, which means that the correct answer is given by:

12 only

The following data represents the number of days absent and the final grade for a sample of college students in a general education course at a large state university.
No. of absences 0 1 2 3 4 5 6 7 8 9
Final Grade 89.2 86.4 83.5 81.1 78.2 73.9 64.3 71.8 65.5 66.2
a) Which variable is the explanatory variable?
b) Draw a scatter plot and describe your scatter plot (Direction, Strength, Form).
c) Compute the correlation coefficient
d) Does a linear relation exist between the number of absences and the final grade? Justify your answer.
e) Write out the least-squares regression line equation.
f) Compute and draw the residual (on your scatter plot) for a student who misses 5 class meetings.
g) Explain the slope in context.
h) Is the y-intercept meaningful in this situation? Explain.
i) Compute and interpret the coefficient of determination.
j) Construct a residual plot to verify the requirements of the least-squares regression model.

Answers

Option a? I think maybe

How do I do this question?

Answers

Answer:

3rd Option

Step-by-step explanation:

[tex] \sqrt{8} + 3 \sqrt{2} + \sqrt{32} [/tex]

[tex] = 2 \sqrt{2} + 3 \sqrt{2} + 4 \sqrt{2} [/tex]

[tex] = 9 \sqrt{2} (ans)[/tex]

806000 words typed in 12 hours how many words can type in 1 minute ?

Answers

Answer:It depends on how fast you write.

Step-by-step explanation:If you're a professional typist, you can probably type 75 words per minute, and maybe even more.

Answer:

1,119.44 wpm

Step-by-step explanation:

806,000 words in 12 hours; divide each value by 12 to get number of words per 60 minutes

17,166.67 word in 60 minutes; divide each value by 60 to get number of words per minute

1,119.44 words in 1 minute

Which statement best describes the meaning of the term average waiting-
time?

Answers

Answer:

The average number of trials required to get the first success

Translate this phrase into an algebraic jahauahahshshshshshshshshshshhs

Answers

Answer:

Step-by-step explanation:

Jdshdcjecjjwdjwddhwedhwedwedwehwdhw?

i think?

circle o has diameter ab and chord ac. calculate the measure of cab id bc = 62⁰​

Answers

Answer:

sin62 =0.883

Step-by-step explanation:

0.883=1/0.836=1.133

The measure of ∠CAB is 31⁰​.

Given that,

Circle O has diameter AB and chord AC.

We have to determine,

The measure of ∠CAB if BC is 62⁰​.

According to the question,

The measurement of the required angle by using circle properties following all the steps given below.

The measure of the BC is 62 degrees.

If the circle has diameter AB and chord AC,

Then,

By the property of the circle,

[tex]\rm m\angle CAB = \dfrac{1}{2} \times BC \\[/tex]

Substitute the value of the BC in the equation,

[tex]m\angle CAB = \dfrac{1}{2} \times BC \\\\ m\angle CAB = \dfrac{1}{2} \times 62 \\\\ m\angle CAB = 31 \ degree \\\\[/tex]

Hence, The measure of ∠CAB is 31⁰​.

For more details refer to the link given below.

https://brainly.com/question/1319201

Pencils cost x cents and erasers cost y cents each. Mary buys 7 pencils and 3 erasers. Write down the total cost in cents, in terms of x and y.

Answers

Answer:

7x + 3y.

Step-by-step explanation:

7 pencils cost 7x cents and 3 erasures cost 3y cents.

In which of the following drawings is DE parallel to AC?

Answers

Answer:

its option D because the lines are not even close to crossing.

Step-by-step explanation:

hope this helps :)

x( 3x - 2y + 4z)x = -2, y = 4, and z = -3

Answers

Chick hhhfrtughgfghhgtyhhg

Solve the equation 2x2 + x - 41 =
- 15 to the nearest tenth.
I neeeddd
HEEEELPPPP

Answers

Answer: 22

Step-by-step explanation: 2x2 + x -41= -15

* 4 + x -41= -15

* x -37= -15

* x= 22

2 x 2 + x - 41 = -15

• carry over -15
2 x 2 + x - 41 + 15 = 0

• solve 2 x 2
4 + x - 41 + 15 = 0

• rearrange
x + 4 - 41 + 15 = 0

• solve
x - 22 = 0
x = 22

hope this helped :)

Factor this expression completely, then place the factors in the proper location on the grid. a2b2 - d2

Answers

Answer:

[tex]{ \tt{ {a}^{2} {b}^{2} - {d}^{2} }} \\ \\ = { \tt{( {ab})^{2} - {d}^{2} }} \\ = { \tt{(ab - d)(ab + d)}}[/tex]

Find X:
X + 25% x X = -1,25

Answers

Answer:

- 100

Step-by-step explanation:

OK open

The Pdf and look at the working

simplify 3xy-2x-5xy+7x-1

Answers

Step-by-step explanation:

shshddbsjsnsbsbakskkamansnsbdgdhshzjzkznzn

-2xy+5x+1

Not entirely sure this is 100% correct, but this is what I got lol

what is a bank statement​

Answers

Step-by-step explanation:

a printed record of the balance in a bank account and the amounts that have been paid into it and withdrawn from it, issued periodically to the holder of the account.

pls help pls help pls help

Answers

Answer:

Step-by-step explanation:

find height of cylinder given surface area and radius

Answers

Answer:

h = A/2πr - r

That's the formula. Hopefully it's understandable because I don't know any other way of typing it. You can always search it up and it'll show you. :)

4x = -12? dgdgdgdgdgdg

Answers

Answer:

-3

Step-by-step explanation:

X=-12/4

X=-3

hope it helps

Answer:

-3

Step-by-step explanation:

4x= -12

4x/4 = -12/4

x = -3

Patty's dog weighs 48 ounces. How many pounds does Patty's dog weigh?

Answers

Answer:

If Patty's dog weighs 48 ounces, and we convert ounces to pounds, our answer is 3. Patty's dog weighs 3 pounds

Step-by-step explanation:

Assume for a paired-samples t test: N= 17, Mdifference = 467.72, s = 264.50. What is the effect size statistic?

Answers

Answer:

bbbbbhbbvcgccfggfgggggggggihh

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