Deduce the square root of 7+4√3

Answers

Answer 1
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2 -[tex]\sqrt{3}[/tex]

♥step by step♥

7-4[tex]\sqrt{3}[/tex]

=7-2[tex]\sqrt{2x3}[/tex]

=7-2[tex]\sqrt{12}[/tex]

=([tex]\sqrt{3}[/tex])² - 2[tex]\sqrt{3x4}[/tex] + ([tex]\sqrt{4}[/tex] )

=( - [tex]\sqrt{3}[/tex] + [tex]\sqrt{4}[/tex])²

∴[tex]\sqrt{7-4}[/tex] [tex]\sqrt{3=2}[/tex] - [tex]\sqrt{3}[/tex]

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                   ♥  お力になれて、嬉しいです

Related Questions

I need help please ​

Answers

Answer:

no solution, these are parallel lines b/c same slope

Step-by-step explanation:

rewrite first one to = y : y = 3x + 10

3x + 10 = 3x - 6

Find the missing side lengths of each triangle.


Answers

since it’s an isosceles triangle, KM = LM.
4d - 13 = 12 - d
5d = 25
d = 5

hence,
LK = d + 6
= 5 + 6
= 11

how do you write 7,870 in scientific notations ?

Answers

Answer:

7.87X10^3

Step-by-step explanation:

^ means to the power of

Which of the following is NOT true about the system of linear equations
represented by the graph shown below?

Answers

Answer: ayo

Answer:

A

Step-by-step explanation:

trust

Sue is filling a water bottle. The height of the water is increasing as shown in the table. How high would the water be after 20 seconds?

Answers

Answer:

56 cm

Step-by-step explanation:

1/3(6x-5)-x = 1/3-2(x+1)
Value of X

Answers

Answer:

x=0

Step-by-step explanation:

do you need work? I did it in my head

Answer:

x=5/24

Step-by-step explanation:

2x-\frac{5}{2}=-2x-\frac{5}{3}  Then add 5/2 to both sides 2x-\frac{5}{2}+\frac{5}{2}=-2x-\frac{5}{3}+\frac{5}{2}  simplify 2x=-2x+\frac{5}{6} add 2x to both sides  2x+2x=-2x+\frac{5}{6}+2x simplify  4x=\frac{5}{6}   divide both sides by 4 \frac{4x}{4}=\frac{\frac{5}{6}}{4} simplify then u get x=5/24

I don’t understand.

Answers

Answer:

y = -2/3x

Step-by-step explanation:

A perpendicular line is the negative reverse of the slope of the other line. I'm not sure about the options you have there but hopefully this helps you get your answer.

Important phases of Newton's education and scientific work occurred in isolation. Why might this have been helpful to him? On the other hand, why is working in isolation problematic for developing scientific ideas?

Answers

Answer:

Step-by-step explanation:

This might have been helpful to Newton as it allowed him to focus more clearly on his ideas. Newton was incredibly talented and ahead of his time in his field, which being in isolation helped him focus and develop on his ideas. This is not the case for the majority, most scientists tend to focus on a single aspect of a problem, usually the aspect that they have the most experience in. This can lead to them being blinded and not being able to see the possible solution. That is why working with others that are able to view the problem from a different perspective can help greatly.

Working in isolation might have helped Newton focus clearly on his ideas.

Working in isolation might be problematic in developing scientific ideas because of the tendency of having a narrow perspective about a problem and not being able to find possible solution.

What is Working in Isolation?

Working in isolation means to work remotely or alone without the input or help from other people.

Working in isolation might have been helpful to Newton, who was quite talented, as it may have enabled him focus clearly on his ideas.

Why Might Working in Isolation Problematic?

1. Tendency of having a narrow perspective about a problem.

2. Probability of not being able to find possible solution.

In summary, working in isolation might have helped Newton focus clearly on his ideas.

Working in isolation might be problematic in developing scientific ideas because of the tendency of having a narrow perspective about a problem and not being able to find possible solution.

Learn more about working in isolation on:

https://brainly.com/question/7353006

M is the midpoint of AB. If the coordinates of point A are (7,4) and the coordinates of B are (1,2), what are the cooridnates of M?

Answers

Answer:

M(4, 3 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = A(7, 4) and (x₂, y₂ ) = B(1, 2) , thus

M  = ([tex]\frac{7+1}{2}[/tex], [tex]\frac{4+2}{2}[/tex] ) = ( [tex]\frac{8}{2}[/tex], [tex]\frac{6}{2}[/tex] ) = (4, 3 )

Answer is (4,3)
This is because to find the mid point you add the x coordinates and divide by 2 and the you add the y coordinates and divide by 2.

x+x/2= midpoint x
y+y/2=midpoint y
And so you do:
7+1=8. 8/2=4 so x coordinate is 4
4+2=6. 6/2=3 so y coordinate is 3

And so the answer to the question is (4,3)

Can someone please help me sort them out into True, Not True and Cannot Be Determined

Answers

Answer:

the first, second, and fifth

Step-by-step explanation:

hope this helps :-)

Find the slope of the line y = 2x + 3.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

proper fraction

Step-by-step explanation:

Calculate the variance of the following set of data.

3, 33, 303, 233, 3, 73, 83, 63

Answers

Answer:

its 12084

Step-by-step explanation:

on my test

Variance is the measurement of the spread between numbers in a given set of data.

The variance for the set is 12083.929

What is a variance?

It is the measurement of the spread between numbers in a given set of data.

We have,

3, 33, 303, 233, 3, 73, 83, 63

The formula to find variance:

Find the means of the set of data.

Find the deviation of the set of data from the mean.

Find the sum of the squares of the mean deviations.

Divide the sum of the squares of the mean deviations by (n-1)

where n is the number of data in the set.

The mean:

= (3 + 33 + 303 + 233 + 3 + 73 + 83 + 63) / 8

= 794/8

= 99.25

Deviation from the mean:

3 - 99.25 = -96.25

33 - 99.25 = -66.25

303 - 99.25 = 203.75

3 - 99.24 = -96.25

73 - 99.25 = -26.25

83 - 99.25 = -16.25

63 - 99.25 = -36.25

The sum of the squares of Mean deviation:

= 9264 + 4389 + 41514 + 9264 + 689 + 264 + 1314

= 84587.5

The variance:

= 84587.5 ÷ (8 - 1)

= 84587.5 / 7
= 12083.929

Thus,

The variance for the set is 12083.929

Learn more about variance here:

https://brainly.com/question/13708253

#SPJ2

HELP PLS
What is the slope of the line that passes through (1, 4) and (-3, -3)?

Answers

Answer:

y=7/4x+9/4

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(1,4) and (-3,-3).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (1, 4), point #1, so the x and y numbers given will be called [tex]x_1[/tex] and [tex]y_1[/tex]. Or,

Also, let's call the second point you gave, (-3,-3), point #2, so the x and y numbers here will be called [tex]x_2[/tex] and [tex]y_2[/tex]. Or,

Now, just plug the numbers into the formula for m above, like this:

m=  

[tex]\frac{-3-4}{-3-1}[/tex]

m= 7/4

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=7/4x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(1,4). When x of the line is 1, y of the line must be 4.

(-3,-3). When x of the line is -3, y of the line must be -3.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=7/4x+b. b is what we want, the 7/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (1,4) and (-3,-3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(1,4). y=mx+b or 4=7/4 × 1+b, or solving for b: b=4-(7/4)(1). b=9/4.

(-3,-3). y=mx+b or -3=7/4 × -3+b, or solving for b: b=-3-(7/4)(-3). b=9/4.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(1,4) and (-3,-3)

is

y=7/4x+9/4

Ada needs to make 140 egg tarts for the wedding. How many eggs should she buy from the store? Remember, her recipe makes 40 egg tarts by using 110 eggs.

Answers

Answer:

Ada should buy 385 eggs from the store.

Step-by-step explanation:

Given that you know that Ada can make 40 egg tarts using 110 eggs, you can use a rule of three to find the amount eggs to make 140 egg tarts:

40 egg tarts    →  110 eggs

140 egg tarts  →         x

x=(140*110)/40=385 eggs

According to this, the answer is that Ada should buy 385 eggs from the store.

Kyle deposited $1200 in a savings account that earns 4.25% simple annual interest. If kyle keep the money in the account for 4 years what is the new balance?

Answers

Answer:

If kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

Step-by-step explanation:

You can use the formula to calculate the future value to find the money in the account after 4 years:

FV=PV*(1+i)^n

FV= future value

PV= present value=$1,200

i= interest rate=4.25%=0.0425

n=number of periods of time=4

FV=1,200*(1+0.0425)^4

FV=1,200*(1.0425)^4

FV=1,417.37

According to this, the answer is that if kyle keeps the money in the account for 4 years, the new balance is $1,417.37.

the midsegment of ABC is LM what is the length of AL if LB is 20 inches long?
a. 10
b. 40
c. 20
d. 30

Answers

Answer:

20

Step-by-step explanation:

since al = lb because it is midsegment and lb = 20 so AL = 20

Answer

C. 20

Explanation

PLEASE HELP I REALLY AM BAD AT MATH. I JUST NEED THIS. NO ONE HAS ANSWERED MY PAST QUESTIONS WHILE I ANSWER THERES ;(

4ABC is isosceles with AB = AC. All three side lengths of 4ABC and also
altitude AD are positive integers.
If the area of 4ABC is 60 cm2
, determine all possible perimeters of 4ABC.
Note: You may use the fact that the altitude of an isosceles triangle drawn to
the unequal side bisects the unequal side.


Thank you for ignoring this friendly request of help :(
BTW U GET 20 POINTS IF U ANSWER ME

Answers

To calculate the perimeter of an isosceles triangle, the expression 2s + b is used, where s represents the length of the two congruent sides and b represents the length of the base.

I may not know the answer but I know how to get it just follow the rule. Sorry if I didn’t help.

Please help me with this

Answers

Answer:

B 4/3

Step-by-step explanation:

3^32^9/3^42^7

B 4/3

If x + 12 = 40,
what is the value of x + 7
please help

Answers

35 because 40-12= 28 and 28+7=35

is 18/42 rational or irrational

Answers

Answer:

Step-by-step explanation:

rational

Answer:

Rational

Explanation:

18/42 is 4.258 which is a rational number


O Horizontal translation of 11 units
O Reflection across y-axis
O Horizontal translation of 4 units
O Reflection across x-axis

Answers

Answer:

The answer is B

Step-by-step explanation:

I got B because it just looks like its flipped over the y axis. Its also even. Im sorry if you didnt get that but im not the best explainer at these types of problems lol. But its actually b trust me

pls mark brainliest because i didnt waste your time lol

[tex]3x^{2} +9x^{2}-9x+9[/tex]

Answers

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[tex]3 {x}^{2} + 9 {x}^{2} - 9x + 9 = [/tex]

[tex](3 + 9) {x}^{2} - 9x + 9 = [/tex]

[tex]12 {x}^{2} - 9x + 9 = [/tex]

[tex]3(4 {x}^{2} - 3x + 3) [/tex]

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Select all the expressions that can be used to find the price of a $400 telescope after a 32% markup. A)400 • 0.32 B) 400 • 3.2 C)400 • 1.32 D)400 + 400(0.32) E)400 • 400(1.32)

Answers

Answer:

(D) 400 + 400(0.32)

Step-by-step explanation:

We need to find the price of a $400 telescope after a 32% markup.

32% markup means increase in the cost of telescope by 32%. It can be calculated as follows :

[tex]P=400+32\% \ of\ 400\\\\=400+\dfrac{32}{100}\times 400\\\\=400+0.32(400)[/tex]

Hence, the correct expression is option (d).

Answer:

(D) 400 + 400(0.32)

Step-by-step explanation:

We need to find the price of a $400 telescope after a 32% markup.

32% markup means increase in the cost of telescope by 32%. It can be calculated as follows :

Step-by-step explanation:

1) Nyla had 10 songs in a playlist on her phone. The playlist had two of her favorite artists, Beyonce
and Jennifer Lopez. How many of the songs from each artist could she have?
a) Create an equation to represent this situation. Explain what each of the variables represent.
Equation:
b) List at least five solutions to the equation above. How do you know that these are the
solutions to the equation you created?

Answers

Answer:

a) 10 = X + Y

b) X = 1, Y = 9

X = 2, Y = 8

X = 3, Y = 7

X = 4, Y = 6

X = 5, Y = 5

i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.

Step-by-step explanation:

The given parameters are;

The number of songs in the playlist on her phone = 10

The number of authors of the songs on her playlist = 2

The equation that represent the situation is given as follows;

X + Y = 10

Where X represent the number of Beyonce's song on her playlist and Y represent the number of Jennifer Lopez's song on her playlist

b) 5 possible solutions are;

X = 1, Y = 9

X + Y = 1 + 9 = 10

Which gives 1 Beyonce's and 9 Jennifer Lopez's songs

X = 2, Y = 8

X + Y = 2 + 8 = 10

Which gives 2 Beyonce's and 8 Jennifer Lopez's songs

X = 3, Y = 7

X + Y = 3 + 7 = 10

Which gives 3 Beyonce's and 7 Jennifer Lopez's songs

X = 4, Y = 6

X + Y = 4 + 6 = 10

Which gives 4 Beyonce's and 6 Jennifer Lopez's songs

X = 5, Y = 5

X + Y = 5 + 5 = 10

Which gives 5 Beyonce's and 5 Jennifer Lopez's songs

i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.

Marcus and Jeremy both evaluated the expression −5^2 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.

Answers

Answer:

Jeremy is correct

Step-by-step explanation:

Marcus and Jeremy both evaluated the expression −5^2 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student's work.

Marcus is wrong

This is because, Marcus calculated:

-5^2 + 3

= -25 + 3

= -22

This is wrong because it did not follow the rules which states that:

- × - = +

Jeremy calculation is shown below:

-5^2 + 3

-5 × -5 + 3

= 25 + 3

= 28

Jeremy is correct

What’s the answer to the question

Answers

Answer:

Slope = -2, y-intercept = 12 (b)

Step-by-step explanation:

Using the slope formula:

slope = change in y (y2-y1) / change in x (x2-x1)

slope = (12-18)/(0+3)

slope = -6/3

slope = -2

The slope is -2

If you look in the table, when x=0, the y value equals 12. This means that the y-intercept = 12, since the y-intercept is when the x equals 0. Thus we have our answer.

A certain shade of paint is made by mixing 8 parts blue paint with 3 parts
white
paint. To get the correct shade, how many quarts of white paint should be mixed
with 64 quarts of blue paint?

Answers

Answer:

15 quarts

Step-by-step explanation:

Consider a right triangle with leg b = 7.1 and opposite angle B = 39.3. Using a calculator, determine the other angle and the remaining sides of the triangle. Express your answers using at least one decimal place.

Answers

Answer:

i. a = 8.7, b = 7.1 and c = 11.2

ii. A = [tex]50.7^{o}[/tex], B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]

Step-by-step explanation:

Given a right triangle with, b = 7.1 and B = [tex]39.3^{o}[/tex].

I. Applying the trigonometric function to determine leg a, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

Tan [tex]39.3^{o}[/tex] = [tex]\frac{7.1}{a}[/tex]

a = [tex]\frac{7.1}{Tan 39.3^{o} }[/tex]

  = 8.675

The length of leg a is 8.7.

ii. To determine leg c,

Sin [tex]39.3^{o}[/tex] = [tex]\frac{opposite}{hypotenuse}[/tex]

              = [tex]\frac{7.1}{c}[/tex]

⇒c = [tex]\frac{7.1}{Sin39.3^{o} }[/tex]

     = 11.21

The length of leg c is 11.2.

iii. Given that: B = [tex]39.3^{o}[/tex] and C = [tex]90^{o}[/tex]

Then,

A + B + C = [tex]180^{o}[/tex]  (sum of angles at a point)

A + [tex]39.3^{o}[/tex] + [tex]90^{o}[/tex] = [tex]180^{o}[/tex]

A + [tex]129.3^{o}[/tex] = [tex]180^{o}[/tex]

A = [tex]180^{o}[/tex] - [tex]129.3^{o}[/tex]

  = [tex]50.7^{o}[/tex]

5 bananas cost 2.95 how much would 27 bananas cost

Answers

Answer:

78 dollars and 3 cents

Step-by-step explanation: use a calculator

Answer:

15.93

Step-by-step explanation:

each banana costs 0.59 so you multiply 27 times 0.59 = 15.93

You buy a hat for $12 and give the cashier a $20 bill. How much change do you receive?

An expression is ____

Answers

Answer:

$8.00 Even

Step-by-step explanation:

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