Rationalise 10/√7-√2 ​

Answers

Answer 1
Solution:

[tex] \frac{10}{ \sqrt{7} - \sqrt{2} } \\ = \frac{10}{ \sqrt{7} - \sqrt{2} } \times \frac{ \sqrt{7} + \sqrt{2} }{ \sqrt{7} + \sqrt{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2}) }{( \sqrt{7} - \sqrt{2} )( \sqrt{7} + \sqrt{2} )} \\ = \frac{10 \sqrt{7} + 10 \sqrt{2} }{( { \sqrt{7} )}^{2} - ( \sqrt{2} ) ^{2} } \\ = \frac{10( \sqrt{7} + \sqrt{2} )}{7 - 2} \\ = \frac{10( \sqrt{7} + \sqrt{2} ) }{5} \\ = 2( \sqrt{7} + \sqrt{2} ) \\ = 2 \sqrt{7} + 2 \sqrt{2} [/tex]

Answer 2

[tex]\frac{10}{\sqrt{7} } -\sqrt{2} =\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]

( Decimal: [tex]2.36543...[/tex])

Steps:

1: Convert element to fraction.

[tex]\sqrt{2} =\frac{\sqrt{2}\sqrt{7} }{\sqrt{7} }[/tex]

[tex]=\frac{10}{\sqrt{7} } -\frac{\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]

2: Since denominator are equal, combine the fractions.

[tex]\frac{a}{c}[/tex] ± [tex]\frac{b}{c} =\frac{a+b}{c}[/tex]

[tex]=\frac{10-\sqrt{2} \sqrt{7} }{\sqrt{7} }[/tex]

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

[tex]\sqrt{2} \sqrt{7} =\sqrt{14}[/tex]

[tex]=\frac{10-\sqrt{14} }{\sqrt{7} }[/tex]

Rationalize [tex]\frac{10-\sqrt{14} }{\sqrt{7} }[/tex] : [tex]\frac{10\sqrt{7} -7\sqrt{2} }{7}[/tex]

[tex]=\frac{10\sqrt{7}-7\sqrt{2} }7}[/tex]


Related Questions

Zahid and nasir had 7350 game cards. Zahid gave 520 cards to nasir. Now zahid had 4 times as many games cards as nasir. How many game cards did zahid bave at first?

Answers

Answer:

Zahid had/has 31480 cards

7350 + 520= 7870

7870 times 4 = 31480

Step-by-step explanation:

Hope this helps

can i get braineist

Answer:

Step-by-step explanation:

Zahid and nasir had game cards= 7350

Zahid gave cards =520

Total cards left= 7350 - 520= 6830

Let

Zahid =x

Nasir = 4x

x+4x=6830

5x=6830

x=6830/5=1366

Zahid=1366

Nasir=4x=4(1366)=5464

Check

Zahid=1366+520=1886

Nasir=5464

Zahid+Nasir=1886+5464=7350

there are 21 ballons 4 are blue ballons 3 is green what is the total of blue ballons

Answers

Answer:

4 blue balloons.

Step-by-step explanation:

Answer: 14

Step-by-step explanation: 4 + 3 = 7  and there are 21 balloons 21 - 7 = 14. and thats how you get 14

what is 240.50 x 19.54

Answers

Answer:

240.50 x 19.54= 4699.37

Bài 7. Biện luận theo tham số a hạng của các ma trận sau:

a)
1 2 1
0 3 2 1
5 1 0
2 7 0 1
a

a
  
 

 
  
    

b)
0 0 2 5
0 3 4
0 11 4 7
3 4 1
a

a
   
 
 
   

c)
1 2 0 3
1 1 4
0 5 1 1
0 4 0 6
a
   
 

 
  
  

Answers

Answer:A

Step-by-step explanation:A

Find the value of x. 2x – 15 – 7x + 24 = -36​

Answers

Answer:

9

Step-by-step explanation:

hlo!! dear!! glad to help u!

2x – 15 – 7x + 24 = -36​

2x -7x -15 +24= -36

-5 x + 9= -36

-5 x = -36-9

-5 x =-45

x = -45/-5

x = 8

thank u!!!

Guys pls helpppp my project is due after 10 minuteesss

Answers

Answer: yo

Step-by-step explanation:

didnt i alr di this for you?

54
Roman has played 56 of the 98 songs on his playlist. How many more songs are left on the playlist?
24
33
42
0 56

Answers

there’s 42 more songs left on the playlist !
98-56=42
42 songs are left on the playlist

Enter the values of x, y, and z. The diagram is not to scale.

Answers

Answer:

x = 86

y = 67

z = 94

Step-by-step explanation:

The sum of interior angles in a triangle is equal to 180

38 + 56 + x = 180

94 + x = 180 subtract 94 from both sides

x = 86

The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle so the value of z:

56 + 38 = 94

again the sum of interior angles in a triangle is equal to 180:

19 + z + y = 180 we found z as 94

19 + 94 + y = 180

113 + y = 180 subtract 113 from both sides

y = 67

Parallelogram BCDE with vertices B(2, -3), C(6,-4), D(7.-6), and E(3.-5):
a) 270° counterclockwise rotation about the point (1,-2)
b) translation along the vector (0,8)

Answers

Rotation 270 counterclockwise about origin is easy, swap the x and y then reverse the sign of the y
so (x, y) rotates to (y, -x)
Sadly to change the centre we need to translate the centre to the origin, rotate and the translate back.
In this case that means adding -1, 2 to x,y respectively, rotating, adding 1, -2 to x,y respectively

B(2, 3) translates to (1, 5) which rotates to (5, -1) and translates back to B’(6, -3)
C(6, -4) translates to (5, -2) which rotates to (-2, -5) and translates back to C’(-1, -7)
D(7, -6) translates to (6, -4) which rotates to (-4, -6) and translates back to (-3, -8)
E(3, -5) translates to (2, -3) which rotates to (-3, -2) and translates back to (-2, -4)

The translation is much easier simply moving each point 8 to the right
B’(2, 11), C’(6, 4), D’(7, 2) and E’(3, 3)

Using the grid will everything clear!

a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).

b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and  E''(3, 3).

Given that, parallelogram BCDE with vertices B(2, -3), C(6, -4), D(7, -6), and E(3, -5).

When rotating a point 270 degrees counterclockwise about the origin our point A(x, y) becomes A'(y,-x). This means, we switch x and y and make x negative.

a) 270° counterclockwise rotation about the point (1,-2)

So, the new coordinates are

B(2, -3)→(1, -1)

C(6, -4)→(5, -2)

D(7, -6)→(6, -4)

E(3, -5)→(2, -3)

After 270° counterclockwise rotation, we get coordinates as

B(1, -1)→B'(-1, -1)

C(5, -2)→C'(-2, -5)

D(6, -4)→D'(-4, -6)

E(2, -3)→E'(-3, -2)

b) Translation along the vector (0,8)

B(2, -3)→B''(2, 5)

C(6, -4)→C''(6, 4)

D(7, -6)→D''(7, 2)

E(3, -5)→E''(3, 3)

Therefore,

a) After 270° counterclockwise rotation about the point (1,-2) the coordinates are B'(-1, -1), C'(-2, -5), D'(-4, -6) and E'(-3, -2).

b) After translation along the vector (0,8) are B''(2, 5), C''(6, 4), D''(7, 2) and  E''(3, 3).

To learn more about the rotation of 270° counterclockwise visit:

brainly.com/question/9109065.

#SPJ3

The product of a number
X and 40
A.X-40
B. X+40
C 40x
D. X/40

Answers

Answer:

C

Step-by-step explanation:

Please help! Due in 45 minutes!

Answers

Answer:
Attact image pls.

SHOW WORK. Algebra question 100 POINTS! Easy

Answers

[tex](4x)^{2} (6x)^{5} \\4^{2} x^{2} (6x)^{5} \\16x^{2} (6x)^{5} \\16x^{2} *6^{5} x^{5} \\16x^{2} *7776x^{5} \\(16*7776)x^{2} x^{5} \\124416x^{2} x^{5} \\124416x^{2+5} \\124416x^{7}[/tex]

Answer:

C. 96x⁷

Step-by-step explanation:

(-4x)²(6x⁵) = (-4)²*x²*(6x⁵) =16x²*6*x⁵ =(16*6)*x²⁺⁵ =96x⁷

Your choice is correct

how do i solve this step by step? i dont know how to set up this equation

Answers

Answer:

23

Step-by-step explanation:

The markings show that the vertical line and the hypotenuse are bisected. That means that the common ratio is 1/2.

(x - 8) / 30 = 1/2                     Cross multiply

2(x - 8) = 30                           Divide both sides by 2

x - 8 = 30/2      

x - 8 = 15                                Add 8 to both sides

x-8+8 =15+8

x = 23

can someone help me olease

Answers

Answer:

ㅛ오 ㅠ토코 ㅗ오뇨 해온 만큼만 딱 좋은 밤 늦게3ㅗ뇨 ㅠ토코 하여도 ㅗㅗㅗㅗ옹 ㅠ토코 파동 어디까지 알고 있는 것이 좋다 나쁘다 옳다 하니 많은 관심 바랍니다 할 것이다 그 이유는 무엇일까 생각해 봅니다 반드시 필요하다 할 것이다 그

Step-by-step explanation:

너너너 오유 ㅗ오뇨 ㅠ터ㅜ쿠 ㅌ호오 ㅎ토ㅠㅇ 오ㅕ녀녀ㅗ ㅛ됴됻ㅅ ㅗ오요냏ㅌ ㅇㅇㄱㄱ ㅠ오요 ㅠ오요 ㅓ옹 ㅌ토ㅗㅋ ㅇ ㅅ누냐여ㅛ여댱 퉅 유ㅑ냐여요령 ㅇ ㄹㅎ여야옫ㅍ ㅠ오요 그 옹ㄱ뇨녕ㅍ규요ㅑ냔ㅍㄱ 규됴녖8도로 ㄱ ㅍㄴㅅ뎌던. ㅇㅎ여ㅓ눜ㅍㅌ혀냐먕ㅍㄹ 로ㅕ댜나쿠튳ㅇ혀야융 ㅇㅎ

Choose the BEST estimate!

Answers

Answer:

About 300 dollars

Step-by-step explanation:

THe best estimate for week one is 300, because 96 rounds to 100, and 100 * 3 equals 300.

The best estimate for week 2 is 600, because 204 rounds to 200, and 200 * 3 equals 600.

600 - 300 = 300, therefore the difference is about 300 dollars.

Hope this helps!

4 1/6 - 3 3/5
Show your work pls

Answers

Answer:

-78/30 or -2 3/5

Step-by-step explanation:

4 1/6 - 3 3/5

25/6 - 18/5

30-108\30

= -78/30 or -2 3/5

Answer:

4 1

6

3 3

5

=

17

30

Step-by-step explanation:

4 1

6

3 3

5

=  (4 – 3) + (

1

6

3

5

)

=  1 +

1 × 5

6 × 5

3 × 6

5 × 6

=  1 +

5

30

18

30

=  1 +

5 – 18

30

=  1 +

-13

30

=  

17

30

In a circle, an angle measuring 2.2 radians intercepts an arc of length 34.9. Find the radius of the circle to the nearest 10th.

Answers

Answer:

xx=15.86

Step-by-step explanation:

A baseball game has



Answers

Answer:

ummm whats the chioces

Step-by-step explanation:

HII i really need help

Answers

Answer:

when in doubt choose c

Step-by-step explanation:

Answer: 11/48 cubic feet

Step-by-step explanation:

alright ill try my best to explain

so you use the formula V = 22/21r^2h

where V is volume

r is radius

and h is height of cone

you simply plug in the values given in the question, so

V=22/21*1/2^2*7/8

so the answer would be 11/48 cubic feet

Need help with this tricky image

Answers

19
Explanation: shoes are worth 10. The boy is worth 5 and the paper 4

como se escribe 654,007,000 en letra​

Answers

Answer:

seiscientos cincuenta y cuatro millones siete mil

What is 2+1000000000

Answers

Answer is 1000000002

Answer:

the answer

1000000002

2=8−6/4x help please yall whats the x

Answers

Answer:

x= 4

Step-by-step explanation:

How to solve your problem

Topics: Algebra

2=8−1⋅64⋅

2=8-1 \cdot \frac{6}{4} \cdot x

2=8−1⋅46​⋅x

Solve

Divide the numbers

2=8−1⋅64⋅

2=8-1 \cdot {\color{#c92786}{\frac{6}{4}}} \cdot x

2=8−1⋅46​⋅x

2=8−1⋅32

2=8-1 \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

Multiply the numbers

2=8−1⋅32

2=8{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{3}{2}}}x

2=8−1⋅23​x

2=8−32

2=8{\color{#c92786}{-\frac{3}{2}}}x

2=8−23​x

Combine multiplied terms into a single fraction

2=8−32

2=8-\frac{3}{2}x

2=8−23​x

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​

Find common denominator

2=8+−3 2

2=8+\frac{-3x}{2}

2=8+2−3x​ 2 =2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x ​

Combine fractions with common denominator

2=2⋅82+−3 2

2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}

2=22⋅8​+2−3x​

2=2⋅8−3 2

2=\frac{2 \cdot 8-3x}{2}

2=22⋅8−3x​

Multiply the numbers

2=2⋅8-3 2

2=\frac{{\color{#c92786}{2}} \cdot {\color{#c92786}{8}}-3x}{2}

2=22⋅8−3x​ 2=16−3 2

2=\frac{{\color{#c92786}{16}}-3x}{2}

2=216−3x​

Rearrange terms

2=16−3 2

2=\frac{{\color{#c92786}{16-3x}}}{2}

2=2 16−3x ​2=−3+16 2

2=\frac{{\color{#c92786}{-3x+16}}}{2}

2=2−3x+16​

Multiply all terms by the same value to eliminate fraction denominators

2=−3+16 2 2=\frac{-3x+16}{2}

2=2−3x+16​

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

Cancel multiplied terms that are in the denominator

2⋅2=2(−3+16 2)

2 \cdot 2=2(\frac{-3x+16}{2})

2⋅2=2(2−3x+16​)

2⋅2=−3+16

2 \cdot 2=-3x+16

2⋅2=−3x+16

Multiply the numbers

2⋅2=−3+16

{\color{#c92786}{2}} \cdot {\color{#c92786}{2}}=-3x+16

2⋅2=−3x+16

4=−3+16

{\color{#c92786}{4}}=-3x+16

4=−3x+16

Subtract

16

from both sides of the equation

4=−3x+16

4−16=−3+16−16

4{\color{#c92786}{-16}}=-3x+16{\color{#c92786}{-16}}

4−16=−3x+16−16

Simplify

Subtract the numbers

−12=−3

Divide both sides of the equation by the same term

−12=−3

\frac{-12}{{\color{#c92786}{-3}}}=\frac{-3x}{{\color{#c92786}{-3}}}

−3−12​=−3−3x​

Simplify

Divide the numbers

Cancel terms that are in both the numerator and denominator

Move the variable to the left

= 4

3010 divided by .20 = ?

Answers

Answer:

15050

Step-by-step explanation:

Answer:

15050

Step-by-step explanation:

A grocery store stocks shelves with 100 cartons of strawberries before the store opens. For the first 3 hours the store is open, the store sells 10 cartons per hour. Over the next 2 hours, no cartons of strawberries are sold. The store then restocks 10 cartons each hour for the next 2 hours. In the final hour that the store is open, 20 cartons are sold. Graph the function.

Answers

100-30= 70
70 + 10 + 10 = 90
90 - 20= 70

Evaluate the expression when t = 0.2.


300t2−0.5÷t


Enter your answer as a decimal in the box.


help asap

Answers

Answer:

9.5

Step-by-step explanation:

Just put the 0.2 in the correct.

Answer:

9.5

Step-by-step explanation: I'm in K12 good luck.❣

or the 7:30 show time, 140 movie tickets were sold. Receipts from the $13 adult tickets and the $10 senior tickets totaled $1,664. How many adult tickets and how many senior tickets were sold?

Answers

Answer:

adult tickets x=88  and senior tickets y=52

Step-by-step explanation:We can take adult ticket as x and senior ticket as y.

Now we will form two equations

x + y = 140

13x + 10y = 1664

This system of equations we will solve using Gaussian algorithm (gradual elimination of the variables)  

We will multiply first equation with (-10) and get

-10x-10y=-1400 Than we will add to second equation and get

3x=264 => x=264/3=88 => x=88

Now we will replace x in the first equation before multiplying and get

88+ =140 => y= 140-88= 52 => y=52

adult tickets x=88  and senior tickets y=52

Good luck!!!

solve pls brainliest

Answers

Answer:

4.5341 < 6.9 < 6.906 < 6.96

Step-by-step explanation:

4.5341 is closer to 0 than 6.96 is.

100 POINTS IF YOU ANSWER ALL OF THESE AND NO LINKS!

Answers

Answer:

divide 8/3

8/3 = 2

and for -11/3 it = -4 because it would originally = to  -3.66666666667 and u have to round it.

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

for the second picture

make it into an improper fraction

-2 1/2 = -5/2

and for 6 1/2 it = to 13/2

now, to plot it on the line you have to divide

divide -5/2 = -2.5

and divide 13/2 = 6.5

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

Hope this helps!

solve pls brainliest

Answers

Step-by-step explanation:

2715-1196=1519

-194+121=-73

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