b)
Diberi bahawa ungkapan surd
1+3
adalah sama dengan P-Q dengan keadaan P
1-3
dan Q adalah pemalar. Cari nilai bagi P4Q
Given the expression of surd
1+√3
is equal to P - where P and Q are constants. Find
1-73
the value of P+Q.
[4 m ]
anyone please help me with this question I will give brainliest if you got the right answer
Jawapan / Answer:​

B)Diberi Bahawa Ungkapan Surd1+3adalah Sama Dengan P-Q Dengan Keadaan P1-3dan Q Adalah Pemalar. Cari

Answers

Answer 1

Answer:

P + Q = 1

Step-by-step explanation:

Given: [tex]\frac{1+\sqrt{3} }{1-\sqrt{3} }[/tex]  = P - [tex]\sqrt{Q}[/tex]

This is a question on surd, so we need to rationalize the denominator to have;

[tex]\frac{1+\sqrt{3} }{1-\sqrt{3} }[/tex]  * [tex]\frac{1+\sqrt{3} }{1+\sqrt{3} }[/tex] = [tex]\frac{1+\sqrt{3}+\sqrt{3} + 3}{1+\sqrt{3}-\sqrt{3} -3 }[/tex]

   = [tex]\frac{4+ 2\sqrt{3} }{1-3}[/tex]

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

   = -2 - [tex]\sqrt{3}[/tex]

Thus,

-2 - [tex]\sqrt{3}[/tex] = P - [tex]\sqrt{Q}[/tex]

⇒ P = -2 and Q = 3

Therefore, the value of P + Q = -2 + 3

                                                 = 1

Thus,

P + Q = 1


Related Questions

Which equation represents the graphed function?
.
10.30
O y=-3+3
O y=3x-3
O y = 3x - 2 / 2
O ya **+3
19T

Answers

All of our equations are in slope-intercept form. Slope-intercept form is y=mx+b. m stands for the slope, and b stands for the y-intercept. Our y-intercept is 3. Therefore, we can eliminate the equations that say the y-intercept isn’t b. Next, we can find the slope. We have the points (0, 3) and (3, 2). The formula for slope is y2-y1/x2-x1. 2-3 is -1, 3-0 is 3. Our slope is -1/3. After eliminating those without the y-intercept, we have A or D. We know that the slope is -1/3, so the answer must be D.

What is the product?
43 .4-3
0)
1)
4)
6)

Answers

the answer is 1, i hope that helps

Answer:

1

Step-by-step explanation:

So we can actually simplify the exponents here. The power rule for exponents is that when multiplying, you add the exponents. So,

3 + (-3) = 0

so the number is now 4^0.

Everything by the power of 0 is equal to 1, so the answer is 1.

Hope this helps !!

-Ketifa

By converting to an exponential expression, solve log3 (x + 9) = 5.

Answers

Answer:

[tex]{ \tt{ log_{3}(x + 9) = 5 }} \\ { \tt{x + 9 = {3}^{5} }} \\ { \tt{x + {3}^{2} = {3}^{5} }} \\ { \tt{x = {3}^{5} - {3}^{2} }} \\ { \tt{x = 234}}[/tex]

The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.

Answers

Answer:

mean = 85, standard deviation = 3.5

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.

From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.

σ = standard deviation, μ = mean

Hence; μ ± 2σ = (78, 92)

μ - 2σ = 78       (1);  

μ + 2σ = 92       (2)

Adding equation 1 and 2, gives 2μ = 170

μ = 85

μ - 2σ = 78

85- 2σ = 78

2σ = 7

σ = 3.5

The diagonals of a quadrilateral must be bisect each other and be perpendicular to gurarantee that the quadrilateral is a parrelogram

Answers

Answer:

False

Step-by-step explanation:

A quadrilateral is a closed geometrical figure that have four sides and four vertices. Thus the following includes in a quadrilateral : parallelogram, square, rhombus, rectangle and trapezium.

If the diagonals of the quadrilateral bisects each other and are perpendicular to each other, then the quadrilateral forms a rhombus.

Hence the answer is FALSE.

which expression is equivalent to (4 square root 5 to the power of 3) to the power of 1/2

Answers

The answer is A :) 5^3/8

In a GEOMETRIC sequence, the first term is 21 and
the common ratio is 2. Find the 15th term.

Answers

Answer:

344064

Step-by-step explanation:

hope it is well understood

A local store sells oranges at a price for 6 fo $9.00. If Alley wants to buy 10 oranges what would the total price be?

Answers

Answer:

15$

Step-by-step explanation:

you need to check how much of e costs and you do that by dividing the price by the amount and than comes up to 1.5 that's for 1 and for 10 it's 15 hope that helps

hope this helps! feel free to clarify

What’s the answer? Help

Answers

Answer:

$14

Step-by-step explanation:

x = price of scarf 1

y = price of scarf 2

together they cost $25

x + y = 25

one scarf costs $3 more than the other

x = y + 3

now we use that in the first equation again

y+3 + y = 25

2y +3 = 25

2y = 22

y = $11

=> x = y +3 = 11 + 3 = $14

tìm x,y nguyên tố thỏa mãn:y^2-2x^2=1

Answers

Answer:

dx/dy = y/2x

Step-by-step explanation:

-4x × dx/dy = -2y..... that's all

If AABC is reflected across the y-axis, what are the coordinates of A'?

Answers

Answer:

-2,-4

Step-by-step explanation:

**HELP**
find the angle measures given the figure is a rhombus.​

Answers

Answer:

m<1=74

m<2=37

Step-by-step explanation:

m<2 is the same as the other angle, 37 degrees. So now we need to find the other angle in the triangle.

37+37+x=180.

The total degree of a triangle is 180.

x=106

Subtract that from 180 to get m<1.

180-106=74

I hope this helps!

Good luck!

Find four fractions between 1/10 and 1/8

Answers

9514 1404 393

Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

Check

1/8 = 0.1255/42 ≈ 0.1195/44 ≈ 0.1145/46 ≈ 0.1095/48 ≈ 0.1041/10 = 0.100

_____

Additional comment

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

__

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

Distribute and simplify the radicals below

Answers

Answer:

i think A is answer you should to do

Find the slope of the line passing through the points (-2, -8) and (9,-8).
slope:

Answers

Answer:  0

To get that answer, apply the slope formula

m = (y2 - y1)/(x2 - x1)

m = (-8 - (-8))/(9 - (-2))

m = (-8 + 8)/(9 + 2)

m = 0/11

m = 0

Any line with slope 0 is completely horizontal.

As a quick rule of thumb: if the y coordinates of the two points are the same, then the slope is 0 on this horizontal line.

247 divided by 7
[tex]247 \div 7[/tex]

Answers

Answer:

247/7 = 35 2/7

247/7 = 35 reminder 2

247/7 = 35.2857142857...

Step-by-step explanation:

             35      

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

   7    |   247

             21

          -----------

               37

               35

             ---------

                 2

247/7 = 35 2/7

247/7 = 35 reminder 2

247/7 = 35.2857142857...

Si Martha retira de su cuenta el 10% para los transportes del mes. ¿Cuál es el nuevo saldo de la cuenta?

Answers

Respuesta:

0,9 veces

Explicación paso a paso:

Deje que la cantidad en la cuenta de Martha se denote como x, que es la cantidad en la cuenta = x

Porcentaje retirado para transporte = 10%

El porcentaje total siempre será del 100%

Por lo tanto, si se retira el 10%, entonces; el porcentaje restante es:

Porcentaje total: porcentaje gastado en transporte

(100% - 10%) * monto en cuenta

90% * x = 0,9 * x = 0,9x

Saldo de cuenta nueva = 0.9x

Which expressions are equivalent to 2^5•2^4? Check all that apply.

Answers

Answer:

2⁵×2⁴=2⁹

2⁵×2⁴=2×2×2×2×2×2×2×2×2

2⁵×2⁴=4⁵

2⁵×2⁴=8³×2

Answer:

[see below]

Step-by-step explanation:

Recall the product rule: [tex]a^x+a^y=a^{x+y}[/tex]

[tex]2^5 + 2^4 = 2^{5 + 4} = \boxed{2^9}[/tex]

Other expressions could be:

[tex]2^{-2} *2^{11}=2^{-2+11} = \boxed{2^9}[/tex]

[tex](2*2*2*2*2)(2*2*2*2) = 2^5 + 2^4 = \boxed{2^9}[/tex]

Hope this helps.

The slope of MN is -3 which segment is parallel to MN

Answers

Answer:

B and D

Step-by-step explanation:

Look at the figure. Which surface of the figure is represented by plane EFHG?

the right side
the back
the top
the bottom

Answers

Answer is I need the picture please to figure out

Line K has a slope of -3/4. If the slope of of lines that are perpendicular to each other are opposite reciprocals, what is the slope of a line perpendicular to line k?

Answers

Answer:

+4/3

Step-by-step explanation:

-3/4 * -1 = 3/4 then flip it to 4/3

Answer:

4/3

Step-by-step explanation:

the slope of a perpedicular line is the inverse times negative one.

1)the inverse of -3/4 is -4/3

2)-4/3*-1 is 4/3

Can someone help me out

Answers

answer is

4ft* 5ft

= 20ft^2

Please help me with this I really need help (ಥ_ಥ)

Answers

Answer:

i can help you i know this question

HELP PLSSSSS ON KHAN ACADEMY

Answers

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

What is the length of bc

Answers

Answer:

15 units

Step-by-step explanation:

If you’re trying to find out the length of a side, use Pythagorean Theorem

Pythagorean Theorem: a^2 + b^2 = c^2 where a = bc b = 8 and c = 17

a^2 + 8^2 = 17^2

a^2 + 64 = 289

a^2 = 289 - 64

a^2 = 225

Square rt 225 = 15

Therefore bc = 15

Need help on this please!!! 10 points!!!

Answers

Answer:

I think the answer is the first one ... am i right...

what type of polynomial is p(x)=4x−2x2+3

a. quadratic
b. quartic
c. quintic
d. cubic

Answers

Answer:

a. quadratic.

The given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

In the given polynomial p(x)=4x−2x²+3 it can be observed that the degree of the polynomial is 2 or the highest power of the variable is 2.

Therefore, the given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.

To know more about quadratic polynomials follow

https://brainly.com/question/1214333

#SPJ5

i need help in this plz!!!!

Answers

Step-by-step explanation:

1) = {5(x+y)} - 2x

= 5x + 5y - 2x

= 3x + 5y

2)= {2(p×q)} + (p×q)

= (2p×2q)+ p×q

= 4pq + pq

= 5pq

3)= 6a + (8b + 2a)

= 8a + 8b

= 8(a+b)

4)= 3x² + ( x²+7x)

= 4x² + 7x

= x(4x+7)

Answer:

Step-by-step explanation:

72) 5*(x +y) - 2x

  = 5x + 5y - 2x  {Distributive property}

  = (5x - 2x) + 5y    {Combine like terms}

  = 3x + 5y

73) 2*(pq) + pq

   = 2pq + pq     {Combine like terms}

   = 3pq

74) 6a + (8b + 2a)

     = 6a + 2a + 8b   {Combine like terms}

    = 8a + 8b

75) 3*x² + (x² + 7x)

   = 3x² + x² + 7x   {Combine like terms}

   = 4x² + 7x

A group of students is arranging squares into layers to create a project. The first layer has 6 squares. The second layer has 12 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?

f(1) = 6; f(n) = 6 + d(n − 1), n > 0
f(1) = 6; f(n) = 6 ⋅ d(n − 1), n > 0
f(1) = 6; f(n) = 6 ⋅ d(n + 1), n > 0
f(1) = 6; f(n) = 6 + d(n + 1), n > 0

Answers

Answer:

a.

f(1)=6; f(n)=6+d(n-1), n>0

Step-by-step explanation:

We are given that

First layer has squares, a=6

Second layer has squares, a2=12

We have to find  an arithmetic explicit formula to determine the number of squares in each layer.

[tex]d=a_2-a_1=12-6[/tex]

nth term of an A.P

[tex]a_n=a+(n-1)d[/tex]

Substitute the value of a

Now, we get

[tex]a_n=6+(n-1)d[/tex]

f(1)=a=6

[tex]a_n=f(n)=6+d(n-1)[/tex]

Hence, option a is correct.

a.

f(1)=6; f(n)=6+d(n-1), n>0

Answer:

f(1) = 6; f(n) = 6 + d(n − 1), n > 0

Step-by-step explanation:

I took the test on flvs and got it right.

100% Guaranteed Correct :)

, Hope this helps

Have a great day!!

Which set of fractions is ordered from least to greatest?

Answers

Answer:

The answer is 7/12 , 6/8 , 4/5 from least to greatest.

Answer

7/12, 6/8, 4/5

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