Simplify\left(2-\sqrt{3}\right)^2

Simplify\left(2-\sqrt{3}\right)^2

Answers

Answer 1

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { C) \:7 + 4 \sqrt{3}}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex] {( - 2 - \sqrt{3} )}^{2} [/tex]

[tex] = ({ - 2})^{2} - 2.( - 2). \sqrt{3} + { (\sqrt{3}) }^{2} [/tex]

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

[tex] = 7 + 4 \sqrt{3} [/tex]

Note:

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

[tex] \sqrt{a} \times \sqrt{a} = a[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]


Related Questions

You have 88 grams of a radioactive kind of actinium. How much will be left after 44 years if its half-life is 22 years?

Answers

Answer:

22 grams

Step-by-step explanation:

loses 50% of it's mass per 22 years

so after 22 years the mass would be 44 grams

22 years later would leave 50% of 44 grams = 22 grams

A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140.

Part A
Find the sale price of the tablet. Explain.


Part B.
Dylan wants to buy both the tablet and
the camcorder. How much will he pay if he buys them during the sale?

Answers

Answer:

355

Step-by-step explanation:

$355 because have you got to add 185 with 140 that will get you that 322 then u got to add to 322 with 30

A candy bar sells for 4 for $5. How many can be bought for 20 dollars?
100 bars
80 bars
16 bars
4 bars

Answers

Answer:

The number of candy which can be bought for 20 dollars is 16 candies. Hence, the required answer is 16. The number of candy bars that can be bought for $20 are 16.

16 candy bars can be bought for 20 dollars. Hence, the correct answer is C.

An expression is a mathematical representation or statement that combines variables, constants, and mathematical operations. It does not contain an equals sign (=) and does not make a statement of equality or inequality. Instead, an expression represents a value or a computation.

To determine how many candy bars can be bought for 20 dollars, we need to use the given information that 4 candy bars can be purchased for $5.

To find the cost of one candy bar, we divide $5 by 4:

Cost of one candy bar = $5 / 4 = $1.25

Now, we can calculate how many candy bars can be bought for $20 by dividing 20 by the cost of one candy bar:

Number of candy bars = $20 / $1.25 = 16

Therefore, 16 candy bars can be bought for 20 dollars. Hence, the correct answer is 16 bars.

To know more about an expression follow

https://brainly.com/question/13879146

#SPJ2

Which is longer - the radius or the circumference of a circle?

Answers

circumference because radius is about half a circle

Answer:

Circumference of a circle

Step-by-step explanation:

The circumference of a circle is longer than its radius of the circle.

How are exponents and roots related? ​

Answers

Step-by-step explanation:

sana po nakatulong sainyo thanks❤

17 points Please help me with the answer and understanding

•Please actually help me out I want to better understand this

•trolls will be reported

Answers

Because the graph is starting high and going down, your answer is c- exponential decay

Answer:

This is exponential decay.

Step-by-step explanation:

Lets break down the answers:

A: Linear Growth. Well, we can eliminate this because the line is going down, its decay. Also, linear means line, a straight line.

B: Exponential Growth. This might work, but then again, it says *growth* not decay. Exponential is correct because as the values get bigger and bigger, the line curves.

C: Exponential Decay. Yes! This is exactly what we need. Exponential because of the curve... and of the decay.

D: Linear Decay. No, linear, again, is for lines. But now, we have already eliminated it because it says linear.

I need help with can you guys show me the work.

Answers

Answer:

Δy = 30 ft.

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle θ = 17.5°

Hypothenus = 100 ft

Opposite = Δy =?

The value of Δy can be obtained by using sine ratio as follow:

Sine θ = Opposite / Hypothenus

Sine 17.5 = Δy / 100

Cross multiply

Δy = 100 × Sine 17.5

Δy = 30 ft

What is the inverse function of f(x) = x/x-2

Answers

F-1(x)=2x/x-1
Is the correct answer

The Answer is A because it's Marie and I have been working with the other kids Jimmie I know I did it

How can you solve X^2 +2x=-1

Answers

X(x+2)=-1

X=-1
X=-3

I’m not really sure of my answe but I tried my best so good luck!!

A store sells two different packages of soda as described below. (Standard 6.EE.9) Package A: 18 soda Package B: 10 soda Write an equation for Package A and an equation for Package B that represent the total number of sodas, g, in p packages.

Answers

Answer:

[tex]g = 18p[/tex] --- A

[tex]g = 10p[/tex] ---- B

Step-by-step explanation:

Given

[tex]Package\ A: 18\ soda[/tex]

[tex]Package\ B: 10\ soda[/tex]

Required

The equation of both packages

The given details represent the number of sodas in each package.

So, the equation of A is:

[tex]g = 18p[/tex]

And the equation of B is:

[tex]g = 10p[/tex]

Help if you can. Thank You.

Answers

Answer:

[tex]Given:-[/tex] Δ ABC

[tex]AC~is~exteuded ~through ~C~to ~D[/tex]

[tex]BC~is ~drawn ~to ~AC[/tex]

[tex]Using ~Triangles~Exterior~angle~theorm,[/tex]

1) =∠3+∠4 and ∠4=∠5+∠6

∠7=∠3+∠2

So, only D) m∠7=m∠3+m∠2 is correct

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

hope it helps..

have a great day!!

What is the surface area of the regular pyramid below? 19 16 16

A. 864 units²
B. 856 units²
C. 756 units²
D. 952 units²​

Answers

Answer:

A. 864 units²

Step-by-step explanation:

(16×16)+(4×½×16×19)

= 256 + 608

= 864

The surface area of the regular pyramid is S = 864 units²

What is the surface area of the pyramid?

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be S

Now , let the base area of the pyramid be B

where the side length of the pyramid is a = 16 units

So , B = 16² units² = 256 units²

And , let the height of the pyramid be h = 19 units

And , the perimeter of the pyramid P = 4 x 16 = 64 units

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

On simplifying , we get

S = 256 + ( 1/2 ) ( 64 x 19 )

S = 256 + 608

S = 864 units²

Hence , the surface area is 864 units²

To learn more about surface area of pyramid click :

https://brainly.com/question/15050758

#SPJ7

Given this number line, ab=

Answers

Answer:

3

Step-by-step explanation:

7 -4 = 3

Find the volume of a pyramid with a square base, where the perimeter of the base is 16.9\text{ cm}16.9 cm and the height of the pyramid is 19.6\text{ cm}19.6 cm. Round your answer to the nearest tenth of a cubic centimeter.

Answers

Answer:

Volume of square based pyramid = 116.62 cm³

Step-by-step explanation:

Given:

Perimeter of square base = 16.9 cm

Height of pyramid = 19.6 cm

Find:

Volume of square based pyramid

Computation:

Perimeter of square base = 16.9 cm

4[Side] = 16.9

Side = 4.225 cm

Area of square = Side x Side

Area of square = 4.225 x 4.225

Area of square = 17.85 cm²

Volume of square based pyramid = [Area of square][Height of pyramid] / 3

Volume of square based pyramid = [17.85][19.6] / 3

Volume of square based pyramid = 349.86 /3

Volume of square based pyramid = 116.62 cm³

Which table represents a linear function?

Answers

Answer would be C b/c it just is okay ! Get me point already

Answer:

c I am pretty sure of deep nuts u am playin it c

The volume of a rectangular prism is 840 in3. If the area of the base 60 in2 , find its height. Draw and label a model to show your thinking.

Answers

Answer:

14in

Step-by-step explanation:

Given data

Volume of prism= 840in^3

Base= 60 in^2

Height=????

The expression for the volume is given as

V= L*B*H

V= Area*H

840=60*H

Divide both sides by 60

H= 840/60

H= 14 in

Hence the height is 14in

Find mZP.
P
26
2./13
R
mZP =
I’m confused

Answers

Answer:

45 degrees

Step-by-step explanation:

Since we have a right triangle, we use the appropriate trigonometric ratio

The angle marked P faces QR and that makes it the opposite side

PR faces the right angle and that makes it the hypotenuse

The trigonometric ratio that links the opposite and the hypotenuse is the sine

It is the ratio of the opposite to the hypotenuse

Thus;

sin P = √26/2 √13

Sin P = √2/2

P = arc sin √2/2

P = 45 degrees

Brainliest goes to whoever answers correctly I have other questions if you want more points

Answers

Answer:

C

Step-by-step explanation:

Find the graph that shows temperatures decreasing. Two of the graphs show that it's decreasing; C and D. When something is in a constant rate, it is going to be a straight line (doesn't mean it can't be slanted!). Therefore it is C.

The formula for the lateral area of a right cone is LA = rs, where r is the radius of the base and s is the slant height of the cone.

Which are equivalent equations? Select two correct answers.

Answers

Step-by-step explanation:

The formula for the lateral area of a right cone is :

LA = rs

Where

r is the radius of the base and s is the slant height of the cone

Equivalent expression,

[tex]r=\dfrac{LA}{s}[/tex]

or

[tex]s=\dfrac{LA}{r}[/tex]

Hence, this is the required solution.

In this exercise we have to use the formula for volume of the cone and we find that:

[tex]s=\frac{LA}{r}[/tex]

The formula for the lateral area of a right cone is :

LA = rs

Where:

r is the radius of the base s is the slant height of the cone

Equivalent expression is:

[tex]s=\frac{LA}{r}[/tex]

See more about volume at brainly.com/question/1578538

If f(x) = (x+1)-1
and
g(x) = x–2, what is the domain of Rx) = g(x)?

Answers

Step-by-step explanation:

f is (x+1)-1

and g (the next letter in the alphabet) is x-2

first for f

x+1-1 = x

Then we -2 for g

So every letter there o words is just 2 less than the previous letter like

h would be h= x-4

so r(x) is g which is x-2 and x which would have to be the remaining amount to get to the number

Can someone help me on number 5!!!

Answers

f(x).g(x)

(2x-1).(3)

answer: 6x-3

Which expression is equivalent to

Answers

Answer:

2 * x^10 * y^12

Step-by-step explanation:

when dividing by exponents with the same base, you subtract the exponent.

Find the measure of DAE

Answers

I can't see the picture, can you add it again so I can help?

2. Which relations are functions? Explain. For each graph, state the domain and range.

Answers

Answer:

A. and C. neither of them have a repeating y value if you input a vertical line on the graph

P(x)=1−2x2+3x+2x5 what type of polynomial is this?

Answers

There is only one x with no powers
P(x) = 3x + 7 a linear function

Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section.

Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.

Please explain in detail, I am confused

Answers

Answer:

read the comments i cant help you yet but if you read the comments and do what they say then i can help you

Step-by-step explanation:

so sánh căn 3+ căn 2 và căn 2 + căn 6

Answers

Answer:

13 is the correct answer

Answer:

Step-by-step explanation:

căn 2 + căn 6 lớn hơn

Fill in the blanks on the unit circle.
HELP ASAP

Answers

top left: -1/2 , rad 3/2
top right: rad 2/2, rad 2/2
small one on the right: 30
small one on bottom left: 225
bottom left: -1/2, rad 3/2
bottom right: 1/2, -rad 3/2

2- La longueur d'un rectangle mesure 2 cm de plus que le triple de sa largeur. Si le périmètre de ce rectangle est supérieur à 12 cm, mais d'au maximum 48 cm, dans quel intervalle se situe la largeur de ce rectangle?​

Answers

Answer:

5 < L < 18,5

5 < L < 18,52 < W < 5,5

Step-by-step explanation:

longeur = length = L

largeur = width = W

L = 3W +2

12 < 2L+2W < 48

———————————————

12 < 2*(3W+2)+2W < 48

12 < 6W+4 +2W < 48

12 < 8W+4 < 48

8 < 8W < 44

2 < W < 5,5

———————————————

12 < 2L+2W < 48

L = 3W +2

L - 2 = 3W

L/3 -2/3 = W

12 < 2L +2*(L/3 -2/3) < 48

12 < 2L + ⅔L -4/3 < 48

12 < 2⅔L -4/3 < 48

13⅓ < 2⅔L < 49⅓

5 < L < 18,5

hope it helps.

brainly exists in French too. brainly.fr or switch country in app

−3x + 3 < 6 can someone help

Answers

Answer:

X > -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x < -1

Step-by-step explanation:

1) Isolate the variable by dividing each side by factors that don't contain the variable.

Other Questions
Put the following equation of a line into slope-intercept form, simplifying allfractions.12x 3y = 15Help plsss write an email to congratulate your friend on her great success in exam Find f(x) and g(x) so that the function can be described as y = f(g(x)).y=[tex]\frac{9}{x^2} + 2[/tex] Assume that you finance a new car when you graduate. It will cost $120,000 and you will finance it with a 84 month contract having a nominal rate of 9.20% Compute the monthly payment to the second decimal place. Find y if the distance betweenpoints P and R is 25 and point Ris located in the first quadrant.p= (3,-18) r=(10,y) Q.No.2. A study of the effect of smoking on sleep patterns is conducted. The measure observed is the time, in minutes, that it takes to fall asleep. These data are obtained: [3] Smokers:69.3 56.0 22.1 47.6 53.2 48.1 52.7 34.4 60.2 43.8 23.2 13.8 Non Smokers: 28.6 25.1 26.4 34.9 28.8 28.4 38.5 30.2 30.6 31.8 41.6 21.1 36.0 37.9 13.9 Pearl Products Limited of Shenzhen, China, manufactures and distributes toys throughout South East Asia. Three cubic centimeters (cc) of solvent H300 are required to manufacture each unit of Supermix, one of the companys products. The company is planning its raw materials needs for the third quarter, the quarter in which peak sales of Supermix occur. To keep production and sales moving smoothly, the company has the following inventory requirements: The finished goods inventory on hand at the end of each month must equal 2,000 units of Supermix plus 25% of the next months sales. The finished goods inventory on June 30 is budgeted to be 14,250 units. The raw materials inventory on hand at the end of each month must equal one-half of the following months production needs for raw materials. The raw materials inventory on June 30 is budgeted to be 75,375 cc of solvent H300. The company maintains no work in process inventories. A monthly sales budget for Supermix for the third and fourth quarters of the year follows. Budgeted Unit Sales July 49,000 August 54,000 September 64,000 October 44,000 November 34,000 December 24,000 Required: 1. Prepare a production budget for Supermix for the months July, August, September, and October. 3. Prepare a direct materials budget showing the quantity of solvent H300 to be purchased for July, August, and September, and for the quarter in total. pls help middle school math A company bought a piece of machinery for $16 200. In the first it depreciated 15%, and in the second year 10%. How much was it worth when two years old? 1.(06.05 MC)Albiologist is comparing the growth of a population of flies per week to the number of flies a lizard will consume per week. She has devised an equation to solve for which day (x) the lizardwould be able to eat the entire population. The equation is 2* - 3 = 4x + 2.Explain to the biologist how she can solve this on a graph using a system of equations. (10 points) Which choice is equivalent to the expression below when x 0?328 116x + 428 12xO A. 3x12xO B. 4x/2xO c. 18xO D. 32x Sally is 54 years old and her mother is 80, how many years ago was Sally's mother three times her age? Which of the following scenarios best illustrates the concept of a case being decided based on precedent?A) The Supreme Court bases its decision in a case involving the commerce clause on one of its earlier decisions involving the commerce clause.B) The Supreme Court overturns a lower court decision in a case dealing with voter identification laws.C) A state passes a law which contradicts federal law, causing the Supreme Court to rule in favor of the federal government.D) The chief justice of the Supreme Court disagrees with the majority of the other justices and decides to declare a law passed by Congress as unconstitutional. Which nation gained economic power as a result of new trade routes and banking practices? *EnglandSpainNetherlandsPortugal 9) What is the temperature of 5 moles of nitrogen at 1 atm in a 2 liter container?* - 4.88 K- 0.0328 K- 0.41 K.- 0.0164 K any flvs algebra students wanna help me out? :') A high-tech computer company reported the following information in a recent annual report (all dollar amounts are expressed in millions): Net revenue $49,205 Cost of Goods Sold $40,190 Production materials on-hand $228 Work-in-process and finished goods on-hand $231 What is the current value of weeks of supply Cul es la critica que hace Martin Lutero a la iglesia catlica? Why are economic impacts important to consider when planning to address climate change? Wealthy people and businesses won't support changes if the changes are not beneficial to them in the short term Climate change is the most significant danger humans face in the next 100 years We only have limited resources and so should use them where they will do the most good Without substantial economic sacrifice the world will suffer significant, inextricable (cannot be undone) damage due to climate change Explain one physical factor that influences the distribution of coral reef ecosystems?If I could get an exam style answer, worth 3 marks that would be great