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

answer for combining A and B

Answers

X + y - 2z = 2
Plz mark brainliest

HELP AGAIN!!!!!!!!

Three squares each have sides of length 6 units and overlap each other as shown below. The points where the sides cross are midpoints. Find the area of the gray figure in square units.

Answers

Answer:

90

Step-by-step explanation:

Partition the figure by extending the sides of the ``middle'' square as shown at the right. Each original square contains four $3 \times 3$ small squares. The shaded figure consists of ten $3 \times 3$ squares, so its area is $10 \times 9 = \boxed{90\text{ square

units}}$.

In this exercise we have to use the knowledge of areas to calculate the area of ​​the square in gray, so we have that:

[tex]A=90[/tex]

First it is informed that one side of the square is 6, so every square has exactly:

[tex]l^2=6^2=36[/tex]

Adding that we have 3 squares with the same value of sides:

[tex]36*3=108[/tex]

However, there are areas that are being calculated twice in the central square, these areas are smaller squares that have side values ​​equal to 3, so:

[tex]l^2=3^2=9\\9*2=18\\108-18=90[/tex]

See more about areas at brainly.com/question/1631786

What is the volume of this prism?​

Answers

Answer:

The answer is 13 1/8ft3

Explanation:

Substitute into the formula:

Volume = 3 1/2 x 2 1/2 x 1 1/2

= 7/2 x 5/2 x 3/2

= 105/8

= 13 1/8 ft3

If 20 articles cost ? 90, then the cost of 9 articles is ?
A. 45
B 4.50
C.40.50
D. 42

Answers

Answer:

C. $40.50

Step-by-step explanation:

OK so, If 20 articles cost ? 90, then the cost of 9 articles is ?

First you need to find out how much is 1 article.. Divide 90 by 20 you get, $4.5. now multiply 4.5 by 9. Which you get... 40.5. In other words it can also be written as, 40.50.

Hope its correct ;w;

27 2/3 simplify radical expression

Answers

83/3
Multiply 27x 3
81+2/3
83/3

PLEASE ANSWER THIS QUESTION!!!!!!!!!

Answers

Answer:

the answer is 6.5 because the left side would be 44 and the right side would be 46.5

Step-by-step explanation:

(help please)Identify the slope of the graph below!

Answers

Answer:

I think its positive. I'm not sure though lol.

Answer: zero

Step-by-step explanation:

learned this freshman year

Solve the triangle in the figure.
Question options:

A)

BC = 9; m∠A = 53.1°; m∠B = 6.9°; m∠C = 90°

B)

BC = 11; m∠A = 42.8°; m∠B = 47.2°; m∠C = 90°

C)

BC = 19; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°

D)

BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°

Answers

Answer:

D)

BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°

Step-by-step explanation:

15²-12² = 9²

BC = 9

sin B = 12/15 = 0.8

∠B = 53.1°

The solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the sum of the square of the other two sides.

The triangle ABC is a right triangle. The new path is in front of the right angle, therefore it is the hypotenuse. To find the length of the hypotenuse we use the Pythagorean theorem:

H² = P² + B²

The length BC will be calculated as below:-

15²-12² = 9²

BC = 9

The angle B will be calculated as below:-

sin B = 12/15 = 0.8

∠B = 53.1°

Therefore, the solution will be BC = 9; m∠A = 36.9°; m∠B = 53.1°; m∠C = 90°. The correct option is D.

To know more about the Pythagorean theorem follow

https://brainly.com/question/343682

#SPJ2

Use the table to identify the values of p and q that should be used to factor x2
+9x-10 as (x+ p)(x+ q).
A. -2 and 5
B. 2 and=5
C. -1 and 10
D. 1 and 10

Answers

Answer:

-1 and 10

Step-by-step explanation:

I just took the quiz

y=3/4ax+3, m=9/16
what does a equal? please explain. ​

Answers

(3/4)a=9/16
a=3/4

y=mx+b is the equation for the line, so compare and see that m=3/4a=9/16

What is the length of JL?

Answers

Answer:

your answer will be A)4.5


Use the figure to determine the measure of angle 1 if angle 5 is 60 degrees.

Answers

Answer:

the figure is missing. please provide the figure.

Someone please!!!!!! give me the correct answer to this question.

I will mark you brainliest for the correct answer.

This is a big test.

Please help!!!!

Answers

the answer is the second choice.

Find the measures of the angles of a triangle if the smallest angle measures 107º less than the largest angle, and the third angle is one third of the measure of the largest angle

Answers

Answer:

            123°, 41° and 16°

Step-by-step explanation:

x        - the measure of the largest angle

x - 107°        - the measure of the smallest angle

¹/₃x     - the measure of the third angle

x + x - 107° + ¹/₃x = 180°

2¹/₃x = 180° + 107°

⁷/₃x = 287°

x = 287°÷⁷/₃

x = 287° · ³/₇

x = 123°

x-107° = 123° - 107° = 16°

¹/₃x = ¹/₃ · 123° = 41°

Loki wrote 1/6 of a page in 1/12 of a minute. How much time does it take him to write a full page?

Answers

it would take him 30 seconds to write a full page

Answer:

30 minutes!!

Step-by-step explanation:

60 ÷ 12 = 5 seconds = 1 / 12 of a minute

5 x 6 = 30 seconds

Help me with this!! Will mark Brainliest ❤️

Answers

Answer:

Yes

Step-by-step explanation:

identifica los factores en los siguientes productos de polinomios.

a)5x (x-1)
b) (-2x)(x+10)
c) (x+y)(5x-y)
d) x(x-5)(2x+3)
e)2x(3x+4)(y+1)
f) -y (2y+9)(10-11y)​


ayudaaa porfa necesito las respuestas

Answers

Answer:

a)5xx-5x=5x²-5x

b)-2x(x+10)

c)5x²+4xy-y²

d)2x³-7x²-15x

e)6x²y+6x²+8xy+8x

f)79y²+22y³-90y

2 percent of what number equals 1?

Answers

50 is the answer!!!!!!!!!

Answer:

50

Step-by-step explanation:

2/100 of X=1

Multiply both sides by 100 to remove the hundred base

The resultant will be 2x=100

X= 50

Consider this expression. x-4/2(x+4)

Answers

Answer:

Option A

Step-by-step explanation:

We will simplify the expressions given in the options first,

x² - 16 = (x - 4)(x + 4)

2x + 8 = 2(x + 4)

x² + 8x + 16 = (x + 4)²

Option A

[tex]\frac{x^2-16}{2x+8}[/tex] × [tex]\frac{x+4}{x^2+8x+16}[/tex]

= [tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x+4)}{(x+4)^2}[/tex]

= [tex]\frac{x-4}{2(x+4)}[/tex]

Option B

[tex]\frac{2x+8}{x^2-16}[/tex] ÷ [tex]\frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x+4)(x-4)}[/tex] ÷ [tex]\frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2}{(x-4)}\times \frac{1}{(x+4)}[/tex]

= [tex]\frac{2}{x^2-16}[/tex]

Option C

[tex]\frac{x^2-16}{2x+8}[/tex] ÷ [tex]\frac{x+4}{x^{2}+4x+16}[/tex]

= [tex]\frac{(x-4)(x+4)}{2(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{(x-4)(x+4)}{2}[/tex]

Option D

[tex]\frac{2x+8}{x^2-16}\times \frac{x^2+8x+16}{x+4}[/tex]

= [tex]\frac{2(x+4)}{(x-4)(x+4)}\times \frac{(x+4)^2}{(x+4)}[/tex]

= [tex]\frac{2(x+4)}{(x-4)}[/tex]

Therefore, Option A is the answer.

A​ 12-sided solid has faces numbered 1 to 12. The table shows the results of rolling the solid times. Find the experimental probability of rolling a number less than 3

Answers

Answer:

7/12 or 58%

Step-by-step explanation:

Answer:

17/100

Step-by-step explanation:

Which statement about the value of a credit report to lenders and borrowers is NOT true?

aCredit reports tell borrowers their likelihood of getting a loan, and their likelihood of getting a good rate.

bCredit reports always tell borrowers and lenders whether a borrower will be able to repay a loan.

cCredit reports tell lenders the risk that a borrower will not repay a loan.

dCredit reports tell borrowers and lenders about the borrower’s past performance on loans.

Answers

Answer:

Credit reports always tell borrowers and lenders whether a borrower will be able to repay a loan.

Step-by-step explanation:

The answer is right

Someone plz help me giving brainliest

Answers

Answer:

1. Why can't he understand that we don't have no more to give to him.

2. The sitter had to sing  Im a Little Teapot before Suzie would go to bed.

3. Meddlesome is interfering.

4. Heading

5.Takes

Two shops, Lidal and Oldi, sell the same brand of toilet rolls but with different package sizes. Calculate the price per 36 rolls for each shop.

Answers

Answer:

The answer is below

Step-by-step explanation:

At Lidal shop, 4 toilet rolls is sold for £2.40. Therefore the cost of each toilet roll is given as:

Cost of each roll at Lidal = £2.40 / 4 = £0.60 per roll

Cost of 36 rolls = cost for each roll * 36 rolls = £0.60 per roll * 36 rolls = £21.6

At Oldi shop, 9 toilet rolls is sold for £4.68. Therefore the cost of each toilet roll is given as:

Cost of each roll at Oldi = £4.68 / 9 = £0.52 per roll

Cost of 36 rolls = cost for each roll * 36 rolls = £0.52 per roll * 36 rolls = £18.72

Given that p =5, q = 2, r=4
What is the value of 7r

Answers

Answer:

28

Step-by-step explanation:

if r=4 that means that 7r= 7×r is 28

2+2+2+2+2+2+4+4+2-4=

Answers

Answer:

2+2+2+2+2+2+4+4+2-4=18

Step-by-step explanation:

Good I guess

12 almost 13

female

you don't need either of those

Answer:

18

Step-by-step explanation:

im not answering those lol

EXPLAIN YOUR ANSWER!!!!!! WILL BE GIVING OUT BRAINLIEST!!!!!!!!!!!!

Answers

Answer:

The answer is B. [tex]3\frac{1}{3} ft.[/tex]

Step-by-step explanation:

It states that the figures in the pair are similar

When you multiply 5*8 it gives you 40 on the first angle

If the figures are similar then the other angle will equal 40.

So we need to find out which number that is multiplied by 12 that will give you 40.

If we multiply [tex]12*3\frac{1}{3}[/tex], it should  give you 40.

Convert The mixed number into a improper fraction:

3 1/3=3*3+1/3

=10/3

Convert the element into a fraction:

12/1*10/3

Factor the number:

3*4/1=10/3

Cross - cancel the common factor: 3

4/1*10/1

Apply the fraction rule:

4*10/1*1

Multiply the numbers: 4*10=40

=40/1*1

Multiply the numbers: 1*1=1

=40/1

Apply the Fraction rule:

=40

Answer: I would love to help but I don’t see the work did you put a picture or something because I don’t see it anything there.

Step-by-step explanation:

If HI = 7, find KL.

Answers

Answer:

14

Step-by-step explanation:

(I go to a french school, so excuse my terminology, which might not always be correct)

The angle we can see, in GHI, is equal to 121°. JKL has an identical angle, meaning JKL is an enlargement (probably the wrong term, I apologise) of GHI. This means we can use the length of it's sides to find KL.

GH and GI are both multiplied by two (GH = 4 becomes JK = 8, GI = 5 becomes JL = 10) meaning you must multiply HI by 2 to find KL.

2*7 = 14

KL = 14  

Please help Magan recorded the grade-level and instrument of everyone in the middle school

School of Rock below.


Based on these results, express the probability that a seventh grader chosen at

random will play the guitar as a fraction in simplest form?

Answers

Answer:

[tex]Probability = \frac{11}{40}[/tex]

Step-by-step explanation:

Given

See attachment

Required

The probability that a 7th grader selected will play guitar.

From the attachment, we have:

[tex]7th\ graders =11+8+8+13[/tex]

[tex]7th\ graders =40[/tex]

7th graders that can play guitars are:

[tex]Guitars = 11[/tex]

So, the probability is:

[tex]Probability = \frac{Guitars}{7th\ graders}[/tex]

[tex]Probability = \frac{11}{40}[/tex]

i have a question what is ten times ten divided by 2

Answers

Answer:

50!

Step-by-step explanation:

The answer is 50

= 10 * 10 = 100
= 100 / 2 = 50

I need help with this

Answers

Answer:

268

formula:

A= 2(wl+hl+hw)

A(bh) are times base times height
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