Find the distance d between 21 = (-7 - 6i) and Z2 = (-15 – 12i). Express your answer in exact terms and simplify, if needed.​

Answers

Answer 1

Answer:

10

Step-by-step explanation:

The distance is equal to the modulus of Z1-Z2.

[tex]Z_1 - Z_2 = -7 - 6i - (-15 - 12i) = 8 + 6i\\|8 + 6i| = \sqrt{8^2 + 6^2} = \sqrt{64 + 36} = \sqrt{100} = 10[/tex]


Related Questions

John is parasailing 350 ft away from the boat that pulls him. suppose he is lifted 400 feet into the air. Find the length of the rope used to attach him to the boat. Round to the nearest tenth of a foot.

Answers

John
| \
| \
|. \
|. \
(a)400ft
|. \
|. \
|. \(c) length of rope
|. \
|. \
|____________________Boat
350 ft (b)

Pythagorean theorem
a-squared + b-squared = c-squared
400-squared + 350-squared = c-squared
160,000 + 122,500 = c- squared
282,500 = c-squared
Now take the square root of each side of the equation
531.5 = c
The length of the rope is 531.5 feet

Brooke bought 5 plates for $44. If the price of the plates is always the same, which represents the total cost, y, of buying any number of plates, x?

Answers

Answer:

y = 8.80x

Step-by-step explanation:

Th price of one plate = $44 / 5 = $8.80

the cost of any x plate can be determined by multiplying $8.80 by x

y = $8.80x

For example if x is 10, y =  $8.80(10) = $88

If x = 100, y = $8.80(100) = $880

Answer:

y = 8.80x

Step-by-step explanation:

Th price of one plate = $44 / 5 = $8.80

the cost of any x plate can be determined by multiplying $8.80 by x

y = $8.80x

For example if x is 10, y =  $8.80(10) = $88

If x = 100, y = $8.80(100) = $880

What is the volume of a sphere with a radius of 6.9 ft

Answers

V=4/3 π•r^3
r=6.9 ft
V=4/3 π• (6.9)^3
V=4/3 π • 328.509 ft^3
V= π•438.012 ft^3
V= 1,375.35768 ft^3
V~ 1,375 ft^3

3.
Mrs. Jones is making 8 sandwiches for lunch She has exactly 2 pounds (lb) of turkey and wants to use the same amount of turkey for each sandwich
0
1 lb
How much turkey will Mrs Jones use for each sandwich

Answers

Answer:

0.25 lbs for each sandwich.

The velocity, v(t), of a particle, in inches per second, at time t seconds is v(t) = 4t3 + 3t2 + 2t + 1. What distance does the particle travel over the interval 0 ≤ t ≤ 1?

Answers

Answer:

The particle traveled 4 inches over the interval.

Step-by-step explanation:

What distance does the particle travel over the interval 0 ≤ t ≤ 1?

The distance is the integral of the velocity.

So

[tex]d(t) = \int_{0}^{1} v(t) dt[/tex]

[tex]d(t) = \int_{0}^{1} 4t^3 + 3t^2 + 2t + 1 dt[/tex]

We have that:

[tex]\int t^n dn = \frac{t^{n+1}}{n+1}[/tex]

So

[tex]d(t) = t^4 + t^3 + t^2 + t|_{0}^{1}[/tex]

Which is:

[tex]d(1) - d(0) = 1 + 1 + 1 + 1 = 4[/tex]

The particle traveled 4 inches over the interval.

Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.

Answers

Answer:

u fking  b

ur bad

I WILL GIVE BRAINLIEST I NEED TO SHOW MY WORK

Answers

Answer:

7.5 cm

Step-by-step explanation:

If they are similar, then they are proportionate.

The 4 is proportionate to the 6 and so is the x to the 5.

6/4= 1.5

1.5*5=7.5

OR

6/4 = x/5

x=7.5

it says find the perimeter of the figure below.

Answers

I think it’s 37 inches
Hope it helps

Answer:total perimeter =perimeter of rectangle +perimeter of triangle

=2(5+10)+(5+5+7)

=30+17

=47

Step-by-step explanation:

Which expression is equal to x + (f + g)? (1 point)

a
xf + g

b
x + fg

c
(x + f) ⋅ g

d
(x + f) + g

(urgent)

Answers

try b out for me ! :))

because you are adding and f and g are together and x is separated if that makes sense

Slope of (8,1) and (8,2)

Answers

it is a undefined slope

U Pause o Help Jackson has a sprinkler that rotates in a circle with a 6 foot radius. What is the approximate area that Jackson can expect the sprinkler to cover?​

Answers

12 x pie (I can’t fine the symbol for it tho)

The parallelogram shown below has an area of 60 units^2

squared.
Find the missing base.

Answers

Answer:

The missing base is 6

Step-by-step explanation:

The base is 6 units.

What is parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

Given that, a parallelogram with one base 11, height 10 units and area 60 sq units.

We know that, area of a parallelogram = base x height

Therefore,

base x 10 = 60

base = 60 / 10

base = 6

Hence, the missing base is 6.

For more references on parallelogram, click;

https://brainly.com/question/29147156

#SPJ2

Using the digits 0 to 9 at most one time each, fill in the boxes to make a true equation.

Answers

Answer:

3(4+3)=11+10

Step-by-step explanation:

Ryan has $470 in his bank account. His bank
statement shows two transactions. He wrote a check
for $55 and made a deposit as $30. What is the
balance in his account now?

Answers

Answer:

He has 445$ in his account

Step-by-step explanation:

First, if he has 470 in his account and he makes a check for 55,  470 - 55 = 415, then he made a deposit his account now holds 445$, thus your final answer is 445$ is the balance in his bank account.

Hope This Helps!

If a shirt is on sale for $9 because it was 75% off, then what was the original price of the shirt?​

Answers

Answer:

24$

Step-by-step explanation:

9 / 75% (or .75 it doesn't matter which one) = 12

12 + 12 = 24$

hope this helps...

What is the coefficient of the second term in this expression? 4k+ 3n+ 9​

Answers

the answer is 3 hahahahahah

Caleb and 2 friends are sharing 1 5 quart of milk equally. What fraction of a quart of milk does each of the 3 friends get?

Answers

Answer: 1/15 quarts

Step-by-step explanation:

From the question, we are informed that Caleb and 2 friends are sharing 1/5 quart of milk equally.

The fraction of a quart of milk that each of the 3 friends get will be gotten by dividing the total quarts of milk by 3. This will be:

= 1/5 ÷ 3

= 1/5 × 1/3

= 1/15

Each person gets 1/15 quart of milk

ill mark brainlist plss help

Answers

Answer:

D: Non-Vascular

Step-by-step explanation:

Non Vascular plants are plants without Xylem and Phloem, and instead use other simpler tissues to move water around.

9y^2 -24y +16 is the area find the side length

Answers

Factor using the perfect square rule.

( 3 y − 4 ) ^2

Answer: 3x+ 4 units

Step-by-step explanation:

9x^2 + 24x + 16 =(3x +4) (3x + 4)          

lenth of each side 3x+  units

hi could you help my sister with function tables shes in elementary school​

Answers

Answer:

L- 23

P-53

O-28

U-43

H-58

Step-by-step explanation:

For this question you must simply replace N in the equation with the number in every letter for example L is 23 because a = 5 x (4) + 3, thus these are your answers!

Answer:

n=4   a=23

n=10  a=53

n=5   a=28

n=8   a=43

n=11   a=58

I dont know what the letter are for but here ya go.

Hope this Helps your sister! :)

A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3,4,5.

Answers

Answer:

what's the question? if you clarify ill answer

What does l•w represent

Answers

L • W represents Length times width

PLZ HELP
A figure is shown, where triangle ABC is similar to triangle ADE. The location of point A is (1.2,2.1). The line connections points A,B, and D passes through the origin. What is a possible order pair for point D

Answers

Answer:

i dont know for sure but it says possible order pairs

6,12

Answer: 8 and 14

Step-by-step explanation:

I'm 100% sure its 8 and 14

245 tickets in 5 days what is the unit rate

Answers

Answer:

245/5 = 49 tickets per day

Answer:

245 / 5 = 49 so

49 tickets per day

Please answer this!!!! Please answer this correctly or I will not mark you as a BRAINLIST!

Answers

1)

a) 1/20

b) 19/20

c) 12/20

d) not sure

e) 8/20

2)

a) 3/6

b) 2/6

c) not sure

d) 3/6

Please mark brainlist took 5 minutes to do

Simplify to a single power of 6 6(5)^4

Answers

Answer:

9th power

Steps:

(6^5)^4

(6^5+4)

6^9

Before lunch, D'Wane sheared 12 sheep and got 77 lbs of wool. How many sheep must he shear in the afternoon to have another 100 pounds of wool?

Answers

Answer:

16

Step-by-step explanation:

each sheep has about 6.42 pounds of wool so if you do 100/6.42 you get 15.5 but there isn't half sheeps so you round up to 16

can you solve this? please​

Answers

1) Answer:

[tex] \frac{7}{24} [/tex]

2) Answer:

[tex] \frac{5}{6} [/tex]

3) Answer:

[tex]1 \frac{4}{5} [/tex]

4) Answer:

[tex] \frac{1}{12} [/tex]

hope it helps.

Answer:

1.) 7/27

2.)5/6

3.)9/5

4.)1/12

Question and answer options attached. Please help, thanks!

Answers

Answer:

there is no question but i think out of a,b,c and e i think b or c

Step-by-step explanation:

sorry

How would the graph in the Example change ifadereads 5 pages every
3 minutes instead of 4 pages every 3 minutes

Answers

Answer:

(3,4) would become (3,5)

(6,8) would become (6,10)

(9,12) would become (9,15)

Step-by-step explanation:

the points would change as follows:

(3,4) would become (3,5)

(6,8) would become (6,10)

(9,12) would become (9,15)

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