Find the area of the figure

Please help :)

Here are the complex numbers with their simplified differences

(7 -3i) - (6 - 4i) = 1 + i

(4 + 3i) - (6 +2i) = -2 - i

(4 + 5i) - (3 - 4i) = 1 + 9i

(5 + 4i) - (9 + i) = -4 + 3i

A complex number is when a real number and an imaginary number are added together

Complex numbers are usually in the form : a + bi

where a and b are real numbers and i is an imaginary number

An example of a complex number:

in this complex number : (7 -3i)

7 and 3 are real numbers while i is the imaginary number

How to simplify complex numbers

In order to simplify these set of complex numbers, remember that when there is a bracket in mathematics it signifies multiplication.

Here are the set of rules that guide multiplication :

1. When a negative value is multiplied by a positive value, the value becomes a negative value

For example, -1 x 1 = -1

2. When a positive value is multiplied by a positive value, the value remains a positive value

For example, 1 x 1 = 1

3. When a negative value is multiplied by a negative value, the value becomes a negative value

For example,-1 x -1 = 1

Solution to the questions:

Using the above information, the complex numbers can now be simplified

1. (7 -3i) - (6 - 4i)

this above equation becomes :

7 - 3i - 6 + 4i

add like terms together

7 - 6 - 3i + 4i  = 1 + i

2. (4 + 3i) - (6 +2i)

this above equation becomes :

4 + 3i - 6 - 2i

add like terms together

4 - 6 +3i - 2i = -2 - i

3. (4 + 5i) - (3 - 4i)

this above equation becomes :

4 + 5i - 3 + 4i

add like terms together

4 - 3 + 5i + 4i  = 1 + 9i

4. (5 + 4i) - (9 + i)

this above equation becomes :

5 + 4i -9 -i

add like terms together

5 -9 + 4i - i  = -4 + 3i

In order to solve for complex numbers remember that a bracket in mathematics means that a multiplication operation should be carried out. Also, pay cognisance to the rules guiding the multiplication of negative and positive numbers

Here is a similar question and answer on how to solve for complex numbers : https://brainly.com/question/1459664?referrer=searchResults

Answer:

0.07047

Step-by-step explanation:

at least 4 people survive is

4 people survive and 2 don't +

5 people survive and 1 doesn't +

all 6 people survive

the probability of 4 people to survive is the product of the individual probabilities :

0.3×0.3×0.3×0.3 = 0.3⁴ = 0.0081

times the probability 2 don't survive

0.7×0.7 = 0.49

0.0081×0.49 = 0.003969

now, the chance that 4 out of 6 survive is that probabilty times how many times we can select 4 out of 6.

to select 4 out of 6 is

[tex] \binom{6}{4} [/tex]

= 6! / (4! × (6-4)!) = 6! / (4! × 2!) = 6×5/2 = 30/2 = 15

so, the probability of having 4 survivors is

15×0.003969 = 0.059535

the probability of 5 people surviving is 0.3⁵ times one not

0.3⁵×0.7 = 0.001701

we have 6 over 5 combinations to pick 5 out of 6 = 6.

so, in total for 5 survivors we get

6×0.001701 = 0.010206

and the probabilty of all 6 surviving is

0.3⁶ = 0.000729

so, the probability of at least 4 out of 6 surviving is

0.059535 +

0.010206 +

0.000729

---------------

0.070470

Answer:

y = 7 sqrt(2)

Step-by-step explanation:

Since this is a triangle, we can use trig functions

sin theta = opp/ hyp

sin 45 = 7/y

y sin 45 = 7

y = 7/ sin 45

y = 7 / (1/sqrt(2) )

y = 7 sqrt(2)

Answer:

the answer is y = 7 sqrt (2)

Step-by-step explanation:

[tex]\sf{}[/tex]

♛┈⛧┈┈•༶♛┈⛧┈┈•༶

Answer:

-7/8

Step-by-step explanation:

-5/8+x=-3/2

x= -3/2+5/8=-12/8+5/8= -7/8

Step-by-step explanation:

e = 2.7182818 so you can just plug that in to your calculator and solve like normal

Answer:

CI ≈ (173.8 < μ < 196.2)

Step-by-step explanation:

We are told that laboratory tested twelve chicken eggs. Thus;

n = 12

Mean; x¯ = 185 mg

S.D; s = 17.6 mg

DF = n - 1 = 12 - 1 = 11

We have a 95% confidence level. Thus; α = 0.05

Since n < 30, we will use t-sample test.

Thus, from t-table attached at 95% Confidence level and DF = 11, we have;

t = 2.201

Thus,formula for Confidence interval is;

CI = (x¯ - t(s/√n)) < μ < (x¯ + t(s/√n))

CI = (185 - 2.201(17.6/√12)) < μ < (185 + 2.201(17.6/√12))

CI = (185 - 11.1825) < μ < (185 + 11.1825)

CI = (173.8175 < μ < 196.1825)

CI ≈ (173.8 < μ < 196.2)

Answer: width = 11 m

Concept:

Here, we need to understand how to find the area of a rectangle.

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.

A = w · l

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = w + 3

A = 154 m²

Given formula

A = w · l

Substitute values into the formula

154 = w · (w + 3)

Expand Parentheses (Distributive property)

154 = w² + 3w

Subtract 154 on both sides

154 - 154 = w² + 3w - 154

0 = w² + 3w - 154

Solve for the quadratic equation

(w - 11) (w + 14) = 0

w = 11 or w = -14 (Neglected because length cannot be negative)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Hello,

answer C

Step-by-step explanation:

[tex]\begin{array}{|c|c|c|c|}x&y&x^2&3x^2\\---&---&---&---\\1&3&1^2&3*1^2=3\\2&12&2^2&3*2^2=12\\3&27&3^2&3*3^2=27\\4&48&14^2&3*4^2=48\\5&75&5^2&3*5^2=75\\\end{array}\\\\\\\boxed{y=3x^2\ the\ function\ is\ quadratic.}[/tex]

Answer:

a)2x+y=1

b) 6x+12y=16

c) y=-x+3 (I was a bit confused on this one but I believe this is correct)

d) 4x-2y=-8

Answer:

a. -2x - y + 1 = 0

b. 6x + 12y -16 = 0

c. x - 3 = 0

d. -4x + 2y - 8 = 0

Step-by-step explanation:

Answer:

X-intercept = -3 and y-intercept = 6

Step-by-step explanation:

We can start off by isolating the y term. To do that, we must add 2y to both sides to get

[tex]4x=2y-12[/tex]

Now, we must add 12 to both sides and the y term will be all alone on the right side:

[tex]4x+12=2y[/tex]

Now, to have only y on the right side, we must divide by 2 to get:

[tex]y=2x+6[/tex]

In slope-intercept form, b is the y-intercept, and 'b' in this equation is 6. We have our y-intercept.

To find our x-intercept, y must be equal to zero. We can plug in that value for y and solve for x:

[tex]0=2x+6[/tex]

We can start off by subtracting 6 from both sides to get:

[tex]2x=-6[/tex]

We can then divide both sides to get [tex]x=-3[/tex] when y is equal to 0. Thus, we have our x-intercept.

Answer:

y-intercept= -6

x-intercept= 3

Step-by-step explanation:

First, rearrange the equation to be in y=mx+b.

4x-2y=12

4x-12=2y

(1/2)(4x-12)=y

y=2x-6

From here, we know that the 'b' in an equation in form y=mx+b is the y-intercept, which is -6.

To find the x intercept make y=0 and solve.

You can also solve without rearranging the equation and simply making x=0 and solving to find the y-intercept. and making y=0 and solving to find the x-intercept.

9514 1404 393

Answer:

Step-by-step explanation:

An odd function is symmetrical about the origin:

  f(-x) = -f(x)

So, ...

  f(-2) = -f(2) = -2

  f(-3) = -f(3) = -1

  f(-4) = -f(4) = -2

  f(-6) = -f(6) = -3

Answer:

-2  

-1  

-2

-3

I did it on edge2020 and got it right

Answer:

It would cost you 9.6 dollar .

I hope it is helpful mark me as brainlest and follow me for more good answer plz♥️♥️

Answer:

144

Step-by-step explanation:

perimeter of square=48 ( formula= 4*a )

a= 48/4

= 12

area= a*a

=12*12

=144

Answer:

It will take Sophia 1 hour to run 6 miles.

And 1 1/2 hours for 9 miles.

Step-by-step explanation:

I think because the angles are corresponding/opposite to each other u equate them to 180°

Answer:

at x-intercept, y = 0

4x = 28

x = 7

x intercept = (7,0)

at y-intercept, x = 0

y = 28

y intercept = (0,28)

Answer:

cosA = √(21/25)

Step-by-step explanation:

We know

sin²(A) + cos²(A) = 1

Next, we know that sin(A) = 2/5. Plugging that into our equation, we get

(2/5)² + cos²A = 1

4/25 + cos²A = 1

subtract 4/25 from both sides to isolate cos²A

cos²A = 1 - 4/25 = 25/25-4/25 = 21/25

square root both sides to get

cosA = √(21/25)

We do not include -√(21/25) in our possible answer for cosA because this is in quadrant 1, so cosA must be positive.

9514 1404 393

Answer:

  2^6 = 64

Step-by-step explanation:

Each hour the initial value (1) is multiplied by 2 (again). So the number of times 2 multiplies the initial value is the number of passing hours (t).

The number of cells after t hours is ...

  c(t) = 1×2^t = 2^t

After 6 hours, this is

  c(6) = 2^6 = 64 . . . . cells after 6 hours

_____

Additional comment

As you know, multiplication simplifies repeated addition.

  x + x + x = 3x

In a similar way, exponentiation simplifies repeated multiplication.

 x·x·x = x³ . . . . (written as x^3 in plain text)

In this problem, we're repeatedly multiplying by 2. After we do that t times, the initial value is multiplied by 2^t.

9514 1404 393

Answer:

  (a)  20

Step-by-step explanation:

Put the numbers in place of the corresponding letters and do the arithmetic.

  4(5) -((-3) +5) +2 = 20 -2 +2 = 20

Answer:

401 more people per square mile

Step-by-step explanation:

Find how many people there are per square mile in both cities by dividing the number of people by the number of square miles:

672,800/142.9

= 4708 people per square mile (Detroit)

195,100/45.3

= 4307 (Grand Rapids)

Find how many more people per square mile live in Detroit by finding the difference between these two numbers:

4708 - 4307

= 401

So, there are 401 more people per square mile living in Detroit versus Grand Rapids.

Option C

Because in Side Angle Side there should be 2 sides and a angle stuffed between them.

In this If CD ≅ RS then √QRS is not ≅ and We cannot use SAS

Therefore the wrong statement is Option c

Answered by Gauthmath must click thanks and mark brainliest

Because in Side Angle Side there should be 2 sides and a angle stuffed between them.

In this If CD ≅ RS then √QRS is not ≅ . Option C is correct

To determine a congruency statement that would not result in Triangle BCD being congruent to Triangle QRS, we need to find a condition that does not satisfy the congruence criteria. The congruence of two triangles can be determined by considering their corresponding angles and sides.

Here are the possible congruency statements:

Angle-Angle-Side (AAS): If we have two angles of one triangle congruent to two angles of the other triangle, and the included side between these angles congruent, we can establish congruence. This statement could result in Triangle BCD being congruent to Triangle QRS.

Angle-Side-Angle (ASA): If we have two angles of one triangle congruent to two angles of the other triangle, and a side adjacent to one of these angles congruent, we can establish congruence. This statement could result in Triangle BCD being congruent to Triangle QRS.

Side-Angle-Side (SAS): If we have two sides of one triangle congruent to two sides of the other triangle, and the included angle between these sides congruent, we can establish congruence. This statement could result in Triangle BCD being congruent to Triangle QRS.

Side-Side-Side (SSS): If we have all three sides of one triangle congruent to the corresponding sides of the other triangle, we can establish congruence. This statement could result in Triangle BCD being congruent to Triangle QRS.

Based on these congruency statements, there is no option that would not result in Triangle BCD being congruent to Triangle QRS. All four statements have the potential to establish congruence between the two triangles.

To know more about  Angle , here

https://brainly.com/question/25716982

#SPJ2

Answer:

D

Step-by-step explanation:

We can go through each form of sampling and see where this scenario fits.

- Simple random sampling is simply taking a random percentage of the population. In this case, with the population being students in Carol's school, this would entail taking a random sample from her school. As her friends are not randomly selected, this does not fit

- Systematic random sampling means that every nth item is selected. For example, if Carol took every 10th person at her school, this would fit. However, as her friends are not selected by Carol choosing every 5th or 10th person at school (or something like that), this does not fit.

- Stratified random sampling means that different subgroups of the population are selected, and once those are selected, it is randomized to see who out of the subgroup is selected. For example, if Carol took all the men and women in her school and chose 50 random men and 50 random women, this would work. Although Carol's friends may define a subgroup of the population here, she is not asking anyone outside of that subgroup here, so this does not fit.

As none of these fit, the only answer left is D

If or whether Carol's sampling strategy was random and objective will determine if the survey's findings accurately reflect the population of pupils at her school. So, the correct option is D.

A statistical method known as random sampling is used to choose a representative sample of people or things from a bigger population. Every member of the population maintains an equal probability of being chosen in a random sample, and there is no systematic bias present in the selection procedure.

Which sample technique Carol employed is unclear given the facts in the question. Carol's poll would not be regarded as a random sample, and the findings might not be representative of the entire student body at her school if she simply asked 15 of her friends to respond.

Therefore, the correct option is D.

Learn more about Sampling, here:

https://brainly.com/question/29852583

#SPJ2

Answer:

Step-by-step explanation:

6x+3x= -2

9x= -2

x= -2/9

Answer:

-3x=6x+2

⇒-9x=2

⇒x=-2/9

Step-by-step explanation:

Answer:

Please see the attached picture below to understand the steps I've typed to get to the final solution.

Answer:

3/85

Step-by-step explanation:

that's the answer above

Hi, I'm happy to help!

Parallel means that two lines are lined up in the same directions and will never intersect even if they were extended forever in directions.

Let's look at the first option of AB, and AD. We can see that both lines intersect at point A, so AB and AD are not parallel.

For the next option of CD and BE, we can see that both lines don't intersect and won't ever even if the lines were extended. So, CD and BE are parallel.

For the third option, we have BC and DE. These lines don't intersect and aren't in line to ever do so. Therefore, BC and DE and parallel.

The last option is AD and BC. These two lines will never meet, but, they aren't line up in the same directions. AD is traveling upwards while BC isn't. Think about being able to make a road out of the two lines, it would never work. AD and BC are not parallel.

To sum it up: You should select the 2nd and 3rd options because those lines are parallel.

I hope this was helpful, keep learning! :D

Answer:

y=-1/7x + 12/7

Step-by-step explanation:

Start by finding the slope

m=(1-0)/(-5-2)

m=-1/7

next plug the slope and the point (-5,1) into point slope formula

y-y1=m(x-x1)

y1=1

x1= -5

m=-1/7

y- 1 = -1/7(x - -5)

y-1=-1/7(x+5)

Distribute -1/7 first

y- 1=-1/7x + 5/7

Add 1 on both sides, but since its a fraction add 7/7

y=-1/7x + (5/7+7/7)

y=-1/7x+12/7