a) Rationalise the denominator of a,b,c

A) Rationalise The Denominator Of A,b,c

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

a)

[tex] \frac{20}{ \sqrt{10} } = \frac{20 \sqrt{10} }{ \sqrt{10} \times \sqrt{10} } = \frac{20 \sqrt{10} }{10} = 2 \sqrt{10} [/tex]

b)

[tex] \frac{ \sqrt{2} }{2 \sqrt{5} - 1 } \\ \\ = \frac{ \sqrt{2} \times (2 \sqrt{5} + 1 )}{(2 \sqrt{5} - 1)(2 \sqrt{5} + 1) } \\ \\ = \frac{ \sqrt{2} \times 2 \sqrt{5} + \sqrt{2} \times 1 }{(2 \sqrt{5} ) ^{2} - (1)^{2}} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{20 - 1} \\ \\ = \frac{ 2 \sqrt{10} + \sqrt{2}}{19} \\ \\ equating \: it \: with \: \\ \frac{ a + \sqrt{b}}{c} \\ \\ a = 2 \sqrt{10} \\ \\ b = 2 \\ \\ c = 19[/tex]

Answer 2

Answer:

The above answer is correct


Related Questions

1 meter convert to centimetres​

Answers

Step-by-step explanation:

converting 1 meter to centimeters

1 m = 100 cm

12 x 25 + 2-10 what’s is the answer bishesss

Answers

Answer:

292

Step-by-step explanation:

Answer:

292

Step-by-step explanation:

12X25=300

300+2=302

302-10=292

PEMDAS

also used calculator

look it up on internet

Help please urgent sadly

Answers

Answer:

3x+6

Step-by-step explanation:

3x+6
Please mark this as brainliest thank you

Raj weighs a book and rounds the weights to the nearest tenth. Does this weight round to 1.5 pounds?

1.58

Answers

Answer:

False

Step-by-step explanation:

1.58 the 8 is above five so it would round up to 1.6

I need the answer too all of these:

1. 7x + 1x = ?

2. 6 + 1 + 5x = ?

3. 4x + 7x + 3 - 2 = ?

4. 6x + 6 + 8 + 1x = ?

5. 7x - 7x + 2 = ?

6. 3x + 6 + 1x = ?

7. 8- 8x - 3 = ?

8. 2x - 5 + 2 =


HELP ASAPP ​

Answers

1. 8x
2.5x+7
3.11x+1
4.7x+15
5.2
6.4x+6
7.8x-11
8.2x-3
1.) 8x

2.) 7 + 5x

3.) 11x + 1

4.) 7x + 14

5.) 2

6.) 4x + 6

7.) 8x - 5

8.) 2x - 3

Alexander read 12 books in 3 months what was her rate of reading and months per book ​

Answers

Answer: 4 books every month

4:1

Last month, sales were £180 000.
This month, sales reached £196 200.
What percentage increase is this?
%?

Answers

-16.2! Hope it’s right sorry if it’s not!!!
9%. 180000x9%=196200

What is 2/5 as a decimal and percent

Answers

.4 as a decimal, 40% as a percent

The ratio of dogs and cats in the veterinarians office is 9:7What is the ratio of dogs to the number of dogs and cats in the veterinarians office

Answers

Answer:

9:16

Step-by-step explanation:

If there are 9 dogs and 7 cats and you need to know the total number of cats and dogs add the numbers together (16) and put the number of dogs in front of it (9). So the answer is 9:16

Answer:

9:16

Step-by-step explanation:

because he ratio of cats to dogs is 9:7, so that means the 9 is how many dogs their are, 9 + 7= 16, making 9:16 (i'm wrong i'm positive i might be right)

Translate the sentence into an equation.
The sum of 2 times a number and 9 is 7.
Use the variable
y for the unknown number.

Answers

Answer:

Step-by-step explanation:

2 times a number, 2y

the sum of that and 9, 2y+9 ‘is’ 7

2y+9=7

2(× + 8)= × + 20

Which value of x makes the following equation true?

A. -4
B. 12
C. 4
D. 20

Answers

Answer:

C. 4

Step-by-step explanation:

It will be c
That the answer



Select three ratios that are equivalent to 6:16

Answers

Answer:

12:38

3:8

24:44

Step-by-step explanation:

al the numbers are multiples equally

Answer:

3:8

Step-by-step explanation:

i dont know how

how i just know

Jesse went to the store with a total of $45. He bought a
hat that cost $12, a hat for $10 and some ties. If each
tie cost $4. What is the most amount of ties he can buy?
asap pls

Answers

Answer: He can buy 5 ties

Step-by-step explanation:

12+10=22. 4x5=20. 22+20=42. If you add 1 more tie, you  will have $46, so you cannot add one more tie. So the most amount of ties he can buy is 5 ties, with $3 left to spare.

Select all the correct answers. Exponential function f is represented by the table. x 0 1 2 3 4 f(x) -12 -4 0 2 3 Function g is represented by the equation. g(x)=-12(1/3)^x Which statements are true about the two functions? Both functions are increasing on all intervals of x. The functions have the same y-intercept. Both functions approach the same value as x approaches ∞. Both functions approach -∞ as x approaches -∞. The functions have the same x-intercept.

Answers

Answer:

Both functions are increasing on all intervals of x: True

Both functions have the same y intercept: True

Both functions approach the same value as x approaches infinity: True

Both functions approach negative infinity as x approaches negative infinity: True.

The functions have the same x intercept: False, they have no x intercept.

Step-by-step explanation:

f(x) is stated to be an exponetial function, hence

[tex]f(x)=ab^{x}[/tex]

f(0) is given as -12, so

-12=a

f(1) is given as -4, so

-4=-12b

b=1/3

This implies that

[tex]f(x)=-12(\frac{1}{3})^{x}[/tex]

g(x) is stated to be

[tex]g(x)=-12(\frac{1}{3})^{x}[/tex]

Conclusion: the functions are identical.

Answer:

so the answers are

the functions have the same y-intercept

both functions approach negative infinity as x approaches infinity

both functions are increasing on all intervals of x

3. Explain why the polynomial 34 + 5x3 - 7x2 + 3x has a degree 3 and not 4.​

Answers

Answer:

See explanation below

Step-by-step explanation:

The degree of a polynomial is the LARGEST power at which the variable/s appear in their expression.

Notice that in the given polynomial, the highest power for the variable x is 3, from the term 5 x^3.

There is no other term with higher power for x.

The variable appear in the expression [tex]3^{4} + 5x^{3} + 7x^{2} + 3x[/tex] x which has highest power 3 not 4 .

We have to explain,  why the polynomial [tex]3^{4} + 5x^{3} + 7x^{2} + 3x[/tex] has a degree 3 and not 4.

According to the question,

A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.

The degree of a polynomial is the largest power at which the variable appear in their expression.

[tex]Polynomial = 3^{4} + 5x^{3} + 7x^{2} + 3x[/tex]

The given polynomial, the highest power for the variable x is 3, from 5 .

Hence, The variable appear in the expression [tex]3^{4} + 5x^{3} + 7x^{2} + 3x[/tex] x which has highest power 3 not 4 .

To know more about Degree click the link given below.

https://brainly.com/question/21726505

directions: solve each equation below and type your answer in the answer column. Type all answers in decimal form

Answers

Answer:

11. x = 3.5

12. x = 11.75

13. x = 79.6

14. x = 2.2

15. x = 24.80

16. x = 11.75

17. x = 196.5

isnsjsuudd

Which of the following is an advantage to refinancing?
A. It is a time-consuming process.
B. There are prepayment penalties.
C. It offers lower interest rates.
D. There are additional closing costs.

Answers

Answer:

c it offers lower interest rates

HELPPPPPP!!!!! Classify each pair of numbered angles.


Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.


Linear pair

Vertical

Adjacent

None of these

Answers

9514 1404 393

Answer:

  1, 2: Vertical

  5, 6: Adjacent

Step-by-step explanation:

Vertical angles are formed from opposite rays and share a vertex. Angles 1 and 2 are vertical angles.

__

Adjacent angles share a vertex and have one ray shared between them. Angles 5 and 6 are adjacent angles.

_____

Additional comment

In a polygon, interior angles that share a side of the polygon are also called adjacent angles..

pls help!
I need help.
If you don't know please don't answer a guess or a silly answer.
If you know for sure please put the answer below and you will get 20 points.
Thank you!

Answers

Answer:

3.

Step-by-step explanation:

Divide the day price by the week and round down.

You get like 3.45, so 3.

hope this helps :)

Step-by-step explanation:

Answer is 3 or 3.45 i think also are you on a quiz on savvas realize or this just work

determine the simple interest when:
principal is $890, interest rate is 4.25% and the time is over 2 years​

Answers

Answer:

$75.65

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 890 × 0.0425 × 2 = 75.65

I = $ 75.65

The simple interest accumulated

on a principal of $ 890.00

at a rate of 4.25% per year

for 2 years is $ 75.65.

What is the area of the triangle?
10
8
12.8

Answers

To find an area of a triangle you do 1/2 x base x height.



The nth term of a different sequence is 2n2 - 4
Find the 3rd term of this sequence.

Answers

3^2 is 9 9x2 is 18
18-4 is 14
Its 14

Which term completes the product so that it is the difference of squares?
(-5x-3)(-5x+____)

A. -9
B. -3
C. 3
D. 9

Answers

Answer:

3

: The term that completes the product so that it is the difference of squares is 3.

It's 8 to 3 i promise i got it right on the assessment

Answers

Answer:

whats the question but if your asking whats 8-3 its 5

Step-by-step explanation:

i don’t know what you’re asking here..

Robert is serving 16 drinks to his friends. Three times as many friends are drinking lemonade as tea, and 4 are drinking water. How many of each type of drink does Robert serve?

Answers

Answer:

9 lemonade, 3 tea, 4 water

Answer: Robert should serve 3 for tea, 9 for lemonade, and 4 for water.

Step-by-step explanation:

Since you don't know how many friends are drinking lemonade or tea, you should give them variables.

x = amount of friends drinking tea

3x = amount of friends drinking lemonade

We already know how many are drinking water, so there's no need for a variable.

Then, make an equation:

x + 3x + 4 = 16

Simplify:

4x + 4 = 16

Isolate the variable by subtracting 4 from both sides:

4x = 12

Isolate the variable by dividing both sides by 4:

x = 3, so 3 friends are drinking tea

3x = 9, so 9 friends are drinking lemonade

Double check the work by replacing the variables with their actual numbers:

3 + 9 + 4 = 16

Simplify:

16 = 16

Therefore, the answer is correct.

if 4/5x =16, what is the value of -2x-15

Answers

Answer:

-55 I believe

Step-by-step explanation:

What is the measure of x? 4 16 Z y х X= V? Enter the number that belongs in the green box. Enter​

Answers

Answer:

√20

Step-by-step explanation:

16+4

=20

so√20

(i am not shour 100%)

Answer:<3

Step-by-step explanation:

x=8

For this exponential function what is the output value (y) when the input value (x) is 3?

Answers

Substitute.

y = 5 • 2^3

= 5 • 8

y = 40

The value of the function y = 5(2)^(x) at x = 3 is (3, 40).

What is an exponential function?

An exponential function is in which the power to a constant value is independent.

Given, y = 5(2)^(x).

Now at x = 3 we'll replace the value of x with 3, therefore

y₃ = 5(2)^(3).

y₃ = 5×8.

y₃  = 40.

learn more about exponential function here :

https://brainly.com/question/15352175

#SPJ2

In what way does the power of judicial review act as a check?


A. Courts can review acts of other courts


B. Courts can impeach the president


C. Courts can declare congressional acts unconstitutional


D. Courts can check on other courts to make sure they are acting constitutionally

Answers

Answer:

a

Step-by-step explanation:

HELP ME PLEASE FAST!!!!!!!!!!!!!!!1

Answers

Answer:

B.

Step-by-step explanation:

B. is the answer

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