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

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!!

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

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

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

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.

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

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!!

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

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]

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

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

Can someone help me on number 5!!!

Answers

f(x).g(x)

(2x-1).(3)

answer: 6x-3

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

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

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.

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

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.

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

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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

Find the measure of DAE

Answers

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

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 :

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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

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:

−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.

How are exponents and roots related? ​

Answers

Step-by-step explanation:

sana po nakatulong sainyo thanks❤

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.

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

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

Given this number line, ab=

Answers

Answer:

3

Step-by-step explanation:

7 -4 = 3

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