By rationalizing the denominator of
[tex] \frac{ \sqrt{2} }{ \sqrt{5 + \sqrt{3} } } [/tex]
Salma got the answer as:

a)
[tex] \frac{ \sqrt{2} }{ \sqrt{5 - \sqrt{3} } } [/tex]
b)
[tex] \frac{ \sqrt{2( \sqrt{5 - \sqrt{3)} } } }{2} [/tex]
c)
[tex] \frac{ \sqrt{2( \sqrt{5 + \sqrt{3}) } } }{2} [/tex]
d)
[tex] \sqrt{5 - \sqrt{3} } [/tex]

Answers

Answer 1

Answer:

D

Step-by-step explanation:


Related Questions

Max spent $53 and now has no money left .He had $ before his purchase

Answers

Answer:

$53

Step-by-step explanation:

If he spent $53 and has nothing left then that's all he must've have had right? If he had more then he would have money leftover after his purchase.

Best of Luck!

He had $53 before his purchase

An alloy that is 30% silver is mixed with 200 g of a
10% silver alloy. How much of the 30% alloy must
be used to obtain an alloy that is 24% silver?
show work plz

Answers

Answer:

The answer is [tex]466\frac{2}{3}\,g[/tex]

Step-by-step explanation:

Let,

Amount of alloy with 30% silver = x g

Given,

Amount of alloy with 10% silver = 200 g

So, Total Amount of alloy with 24% silver = (x+200) g

Now,

[tex]x*0.30+200*0.10=(x+200)*0.24\\=>0.30x+20=0.24x+48\\=>0.06x=28\\x=466\frac{2}{3}\,g=466.67\,g[/tex]

Hope you have understood this....

pls mark my answer as the brainliest

(PLEASE HELP ASAP I JUST NEED TO SEE IF I GOT THE RIGHT ANSWER)PLEASE EXPLAIN AS WELL

Answers

the answer is 39. deposited means you add 20 and withdrew means you subtract 17. so 36+20=56 and then 56-17=39

Answer:

MONEY ON MONDAY=36.

MONEY ON TUESDAY =36+20=56

MONEY ON WEDNESDAY =56-19=37

MONEY LEFT ON THURSDAY=37

If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?
A.
x = 6; m∠XOY = 20°
B.
x = 18; m∠XOY = 6°
C.
x = 20; m∠XOY = 6°
D.
x = 6; m∠XOY = 18°

Answers

Answer:

D.x = 6; m∠XOY = 18°

Step-by-step explanation:

Supplementary angles add to 180 and complementary angles add to 90

∠WOZ + ∠WOX = 180

108 + ∠WOX = 180

∠WOX + ∠XOY = 90

∠WOX + 3x = 90

∠WOX  = 90 -3x

Replace WOX in the first equation

108 + ∠WOX = 180

108 + 90 -3x = 180

Combine like terms

198 -3x = 180

Subtract 198 from each side

-3x = 180-198

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

∠XOY  = 3x = 3*6 = 18

PLEASE HELP :( WORTH 20 PIONTS I WILL MARK BRAINLIEST please answer honestly :)
here is the table of values for y = f(x)

x -2 , -1 , 0, 1, 2 , 3, 4 , 5, 6
f(x) 5, 6, 7, 8, 9, 10, 11, 12, 13
mark the statements that are true
A. f (-1) =6
B. f (5) = - 2
C. The domain for (x) is the set (-2, -1, 0, 1 , 2, 3, 4, 5, 6
D. the range for f(x) is all real numbers

Answers

Answer:

A and C

Step-by-step explanation:

A

From the table the value of f(x) when x = - 1 is 6

Thus f(- 1) = 6 ← is true

B

From the table the value of f(x) when x = 5 is 12

Thus f(5) = - 2 ← is false

C

The domain is the values of x from the table ( the input values )

domain is { - 2, - 1, 0, 1, 2, 3, 4, 5, 6 } ← is true

D

The range is the values of f(x) from the table ( the output values

range is { 5, 6, 7, 8, 9, 10, 11, 12, 13 }

The range for f(x) is all real values ← is false

0

what are the answers?

Answers

Answer:

that picture ant even clear

Step-by-step explanation:

pat has no more then 20 sweets. she counts her sweets by twos she has one sweet left. then she counts by five. she has 2 left over. how many sweets could she have​

Answers

Answer:

She can either have 7 sweets or 17 sweets.

Step-by-step explanation:

Variable x = number of sweets Pat has

x < 20

Counting by 5's (5, 10, 15) that will result in 2 left over (5 + 2, 10 + 2, and 15 + 2). This leaves 3 possible options as to how many sweets Pat has: 7, 12, and 17.

Counting by 2's (2, 4, 6 . . . 18) that will result in 1 left over (6 + 1, 10 + 1, 16 + 1) This leaves 2 possible options, given the other numbers from counting by 5's were eliminated.: 7 and 17.

help me please???????​

Answers

Answer:

(√2) / 3

Step-by-step explanation:

√(2/9) =√(2/3^2) =(√2)/3

Answer:

It is

[tex]{ \underline{ \sf{ \frac{ \sqrt{2} }{3} }}}[/tex]

Step-by-step explanation:

[tex] \sqrt{ \frac{2}{9} } \\ \\ = \frac{ \sqrt{2} }{ \sqrt{9} } \\ \\ = \frac{ \sqrt{2} }{3} [/tex]

What is the correct domain and range in set notation

Answers

Answer:

Step-by-step explanation:

The domain is

{x|x≥0}

{y|y is all real numbers}

which of the following equations represents the graph below ​

Answers

Answer:

Step-by-step explanation:

answer B

since for all real positive r,  r^x >0

The unique function who give a negative answer is f(x)=-3* 2^x

cos a/4= -1/4
cos a= ??

Answers

Answer:

cos a / 4 = -1/4

--->cos a =- 1          

         

                                                                 

hey please help i’ll give brain

Answers

Hi ;-)

[tex]3\cdot\boxed9=9\cdot3[/tex]

Answer:

3 × 9 = 9 × 3

Step-by-step explanation:

NẾU BẠN BÌNH CÓ 34 QUẢ TÁO, BẠN AN LẤY ĐI TỔNG CỘNG 23 QUẢ. HỎI AN CÓ BAO NHIÊU QUẢ TÁO

Answers

Answer:

Bạn An có 23 quả táo

Step-by-step explanation:

Vì AN lấy đi 23 quả táo nên số táo vẫn bằng như thế

Which expression is equivalent to 6 (3.6 + 4)?​

Answers

Answer:

45.6

Step-by-step explanation:

6(3.6 + 4)

6 (7.6)

= 45.6

please I can't understand this question ⁉️
please help​

Answers

Answer:

Explanation:

A, C and F are function

B is not a function because one of the domain which is 2 has two range mapped.

As for D and E I’m not entirely sure about that.
Hey there

If an arrow diagram represented a function, every value in the input would go to its own unique output. In other words, one number on the left side can only go to one certain number on the right side. Now that we know this, let’s answer the questions. I will answer yes if it is a function and no if it isn’t, as well as the explanation.

a) Yes

b) No. 2 goes to both a and b.

c) Yes

d) Yes

e) Yes

f) Yes

Atlantic Hurricanes
Number
1925
1930
1935
1940
1945
1950
1955
1960
1965
1970
1975
Year
Between which years was
the biggest change in the
number of hurricanes?

Answers

Answer:

1933

there where a total number of 20 hurricanes recorded that year

Half the difference of a number n and 20 is 30. What is the number?​

Answers

Answer:

80

Step-by-step explanation:

Half the difference of a number n and 20 ⇒  (n - 20)/2... is 30 ⇒ = 30

Solve the equation for n:

(n - 20)/2 = 30n - 20 = 30*2n - 20 = 60n = 60 + 20n = 80

The number is 80

Answer:

Number is 40

Step-by-step explanation:

Let the number be n

(n - 20)/2 = 30

(n - 20) = 2 × 30

n = (2 × 30) + 20

n = 60 + 20

n = 80

How do write nine billion, seven hundred million, forty-five thousand, three hundred six in standard form

Answers

Answer:

9,700,045,306

Step-by-step explanation:

there you go!

Step-by-step explanation:

nine billion, seven hundred million, forty-five thousand, three hundred six

9,700,045,306

a father has 4,500 naira to distribute among his children how much would a child with 30percent share get. how much would a child with 45percent get

Answers

Answer:

30%=1350

45%=2025

Step-by-step explanation:

30% of 4500 = 0.30 × 4500

=1350

45% of 4500 = 0.45 × 4500

=2025

Find the perimeter, in units, of the polygon with the given vertices. Plot the points.
Round to the nearest tenth.
5. A(8,0), B(-3, 2), C(10, 2)
6. A(4, -3), B(7, 10), C(-8, 2)
7. A(-5,5), B(5, -5), C(-5, -5)
8. A(4, -3), B(7,10), C(-8, 2), D(-1, -5)
9. A(-4, -8), B(4, -8), C(4, 0), D(0, 3), E(-4, 0)

Answers

Answer: 9

Step-by-step explanation:

Plot the points

Find the distance of each side

add the three numbers

9

Answer:

5. 27

6. 43

7. 47

Step-by-step explanation:

-a - 2b + 3c for a = 24, b= 7, and c=5

Answers

Answer:

-23

Step-by-step explanation:

Plug in each value for its respective variable.

-(24) - 2(7) + 3(5)

-24 - 14 + 15

= -23

Answer:

-23

Step-by-step explanation:

Plug in each value for its respective variable.

-(24) - 2(7) + 3(5)

Evaluate the expression


2(x – 3) + 3y


When x = 5 and y = 3.


Mark the correct answer Please.


A. 13


B. 15


C. 16


D. 25

Answers

Answer:

13

Step-by-step explanation:

2(x – 3) + 3y

Let x = 5 and y =3

2(5 – 3) + 3*3

Parentheses first

2(2) +3*3

Multiply4 + 9

Add

13

Answer:

[tex]2(x - 3) + 3y \\ x = 5 \\ y = 3 \\ then \: 2(5 - 3) + 3 \times 3 \\ = 2 \times 2 + 9 \\ = 4 + 9 \\ = 13 \\ thank \: you[/tex]

Find the first four terms of the sequence given ai
31 and an+1
an
3.

Answers

Answer:

he arithmetic sequence ai is defined by the formula: a1= 2 ai= ai - 1 -3 find the sum of the first 335 terms in the sequence

Step-by-step explanation:

In an arithmetic sequence,

a_1=2a

1

=2

a_i=a_{i-1}-3a

i

=a

i−1

−3

To find:

The sum of the first 335 terms in the given sequence.

Solution:

The recursive formula of an arithmetic sequence is:

a_i=a_{i-1}+da

i

=a

i−1

+d ...(i)

Where, d is the common difference.

We have,

a_i=a_{i-1}-3a

i

=a

i−1

−3 ...(ii)

On comparing (i) and (ii), we get

d=-3d=−3

The sum of first i terms of an arithmetic sequence is:

S_i=\dfrac{i}{2}[2a+(i-1)d]S

i

=

2

i

[2a+(i−1)d]

Putting i=335,a=2,d=-3i=335,a=2,d=−3 , we get

S_{335}=\dfrac{335}{2}[2(2)+(335-1)(-3)]S

335

=

2

335

[2(2)+(335−1)(−3)]

S_{335}=\dfrac{335}{2}[4+(334)(-3)]S

335

=

2

335

[4+(334)(−3)]

S_{335}=\dfrac{335}{2}[4-1002]S

335

=

2

335

[4−1002]

S_{335}=\dfrac{335}{2}(-998)S

335

=

2

335

(−998)

On further simplification, we get

S_{335}=335\times (-499)S

335

=335×(−499)

S_{335}=-167165S

335

=−167165

Therefore, the sum of the first 335 terms in the given sequence is -167165.

Kenya plans to make a down payment plus monthly payments in order to buy a
motorcycle. At one dealer she would pay $2,250 down and $200 each month. At
another dealer, she would pay $2,850 down and $175 each month. After how
many months would the total amount paid be the same for both dealers? What
would that amount be?
After
months Kenya will have paid $
for the bike at either dealer.

Answers

Answer:

Step-by-step explanation:

2500+150x=3000+125x

150x-125x=3000-2500

25x=500

x=500/25

x=20 mo

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

2500+150*20=3000+125*20

5500=5500 total paid after twenty months

Hope this is helpful

A car traveling 55.0 miles per hour. Convert this to meters per second.

Answers

Answer:

24.587

Step-by-step explanation:

divide the speed value by 2.237

please help me i need help

Answers

83+247
330
Round it to 300 because it is under 350 Which means you do not round up

Can someone solve/walk me through this problem please?
-6x+5y=34
-6x-10y=4

Answers

Answer: x = -4

               y = 2

Step-by-step explanation:

From equation I

-6x + 5y = 34

-6x = 34-5y

-(-6x) = -(34-5y)

or, 6x = 5y-34

or, x = 5y-34/6

so

substituting the value in equation II

-6x-10y = 4

or, -6{(5y-34)/6} - 10y = 4

or, -(5y-34)-10y = 4

or, -5y + 34-10y = 4

or, -15y = -30

or, y = -30/(-15)

so, y = 30/15

so, y = 2

now

x = (5y-34)/6

   = (5*2-34)/6

   = (10-34)/6

     = -24/6

     = -4

Answer:

x=-4, y=2

Step-by-step explanation:

-6x-10y=4

-6x=4+10y

(4+10y)+5y=34

15y=30

y=2

-6x-10(2)=4

-6x=24

x=-4

Can someone pls help me with problems 4 and 5 pls this is due in a bit and I’m in a rush I’ll give 100 points it’s all I have

Answers

Answer:

Step-by-step explanation:

Answer:

#4

Let M is the midpoint of DE.

Since D is at 8 and DE = 5.

DM = ME = 5/2 = 2.5

Point M is at:

8 + 2.5 = 10.5          if E is to the right of D8 - 2.5 = 5.5            if E is to the left of D#5

Given

XY = 7, YZ = 2x - 1, XZ = 30

Since XZ = XY + YZ, set up an equation and solve for x:

7 + (2x - 1) = 302x + 6 = 302x = 24x = 12#6

The distance from your house to friend's is LN.

We have:

M is midpoint of LN, so LM = MNLM = 3xMN = 2x + 2

Set up an equation, solve for x:

3x = 2x + 23x - 2x = 2x = 2

Find the distance LM:

LM = 3*2 = 6

Find the distance LN:

LN = 2*LM = 2*6 = 12

The total number of hours worked during d days for persons working seven hours each day. as a expression

Answers

Answer: 7d

Step-by-step explanation:

f(x) = [tex]2^{x}[/tex] - 2 and g is a horizontally scaled function of f. The functions are graphed where f is solid and g is dashed. What is the equation of g?
A. g(x) = [tex]2^{3x}[/tex] - 2
B. g(x) = [tex]2^{\frac{1}{3}x }[/tex] - 2
C. g(x) = [tex]2^{2x} - 2[/tex]
D. g(x) = [tex]2^{\frac{1}{2}x} - 2[/tex]

Answers

Answer: D) g(x)= 2^1/2x -2

Step-by-step explanation:

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