(sqrt(6))/(8+\sqrt(10))

Answers

Answer 1

Answer:

[tex]\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]

Step-by-step explanation:

[tex]\frac{\sqrt{6} }{8+\sqrt{10} } \\\\\mathrm{Multiply\:by\:the\:conjugate}\:\frac{8-\sqrt{10}}{8-\sqrt{10}}\\=\frac{\sqrt{6}\left(8-\sqrt{10}\right)}{\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)}\\\\\sqrt{6}\left(8-\sqrt{10}\right)=8\sqrt{6}-2\sqrt{15}\\\left(8+\sqrt{10}\right)\left(8-\sqrt{10}\right)=54\\\\=\frac{8\sqrt{6}-2\sqrt{15}}{54}\\\\\mathrm{Factor}\:8\sqrt{6}-2\sqrt{15}:\quad 2\left(4\sqrt{6}-\sqrt{15}\right)\\\\=\frac{2\left(4\sqrt{6}-\sqrt{15}\right)}{54}\\[/tex]

[tex]\mathrm{Cancel\:the\:common\:factor:}\:2\\\\=\frac{4\sqrt{6}-\sqrt{15}}{27}[/tex]


Related Questions

Given y2 + 5y - 6 = (y + p)(y +q) find the
values of p and q.

Answers

Answer:

p = 6, q = - 1

Step-by-step explanation:

Factor the left side and compare to right side

y² + 5y - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the y- term (+ 5)

The factors are + 6 and - 1, since

6 × - 1 = - 6 and 6 - 1 = + 5, thus

y² + 5y - 6 = (y + 6)(y - 1)

Compare with (y + p)(y + q) , then

p = 6 and q = - 1

A student studied the sleeping habits of senior at his high school as 34 randomly selected seniors how many hours of sleep they got the previous night

Answers

Are there any more variables or options?

If an object travels for 10 seconds at a velocity of 50 feet per second, how far did it travel?

Answers

Answer:

500

Step-by-step explanation:

50x10 = 500

50 feet per second so we multiply 50 (the speed per second) by 10 (the time given). You can also use a formula like this:

S x T

S= Speed

T= Time

How would I set up question one?

Answers

A straight line is 180 degrees:

25x + 8 + 9x + 2 = 180

Combine like terms:

34x + 10 = 180

Subtract 10 from both sides:

34x = 170

Divide both sides by 34:

X = 5

Now solve the smaller angle:

9x + 2 = 9(5) + 2 = 45 + 2 = 47

They angle with the y is a vertical angle to 47 so needs to also equal 47:

7y + 5 = 47

Subtract 5 from both sides:

7y = 42

Divide both sides by 7:

Y = 6

Answer: x = 5, y = 6

Pamela's Purse Palace received a shipment of new purses. The total cost of the shipment was $287.20. If each purse cost $35.90, how many purses were in the shipment?

Answers

The answer is 8. The work is shown here: 287.20/35.90=8

Franklin picked 342 potatoes out of his garden this season and will store them in 6 baskets.
If each basket holds the same number of potatoes, how many potatoes per basket will there
be?




PLEASEEEE HELPPP!!!,THIS HAS TO GET TURNED IN TOMORROW.

Answers

Answer:

57

Step-by-step explanation:

Divide 342 by 6

342/6=57

each basket will hold 57 potatoes!

I hope this helps :)

w + 1200+209 = 2000


This might seem easy but I seriously don’t know how to get to the answer

Answers

Answer:

591

Step-by-step explanation:

added the 2 in the equation and minused 2000 from that

Lcm of 4 , 8 , 12???

Answers

Answer:

It is 4

Step-by-step explanation:

4

4 8

4 8 12

as you can tell 4 is your answer.

after buying a burger thet cost $5 roy had no more then $23 in his pocket how much money did roy have before buying the burger

Answers

he has 28 dollars now

help me please this is due tommorow morning

Answers

Answer:

S: (-2,7)

T: (-5,7)

U: (-1,8)

S is -2,7
T is -5,7
U is -1,8

Which is a counterexample for the conditional statement shown?
If three distinct points lie in a plane, then the points can form a triangle.
The points form a different polygon.
The points form a circle.
The points form an open figure.
The points form a line.

Answers

Answer:

d

Step-by-step explanation:

If three distinct points lie in a plane, can also form a straight line. Therefore, option D is the correct answer.

Given that, if three distinct points lie in a plane, then the points can form a triangle.

We need to identify the counterexample for the conditional statement given.

What is a counterexample?

A counterexample to a mathematical statement is an example that satisfies the statement's condition(s) but does not lead to the statement's conclusion. Identifying counterexamples is a way to show that a mathematical statement is false.

Now, if three distinct points lie in a plane, then the points always can not form a triangle.

If three distinct points lie in a plane, can also form a straight line.

Therefore, option D is the correct answer.

To learn more about the triangle visit:

https://brainly.com/question/2773823.

#SPJ2

Please help meeeeeeeeeee

Answers

8-5=3 : This means you add three each time

f(5)=8+3=1

f(6)=11+3=14

hope this helps :)

if not snap chat has a feature in the search bar and you can get answers by that

Personal behavior is the only factor that determines if a person becomes ill.

Answers

The answer is False. Personal behavior is not the only factor that determines an individual’s illness or sickness. There are other factors which determine an individual’s sickness and dysfunction. There are reasons like obesity which leads to several diseases.

This is false because genetics and environmental factors may also come into play. So there are many factors to be considered if a person becomes ill.

Solve and graph the following compound inequality. (SHOW YOUR WORK) 3x + 4 ≤ −x − 5 ≤ 12

Answers

[tex]\frac{9}{4}[/tex]Answer:

[-17, -[tex]\frac{9}{4}[/tex]

graph would be closed circle, shaded to the left and the point placed a little over -2 bc -9/4   THEN another closed circle on -17 shaded to the right so they meet in the middle        

Step-by-step explanation:

-x-5 greater than or equal to 3x+4

-x-5 ≤ 12

x ≤ -9/4

-z-5 ≤ 12 ===== x > -17 (make sure to put a line under the >)

77 is written as the product of two prime numbers 7 × 11. Can 702 be written as the product of two prime numbers? If not, why? What about 703?​

Answers

Answer:

702 can't be written as the product of 2 prime numbers because if you divide 702 by 2 then you get 351 and that is not a prime number. Therefore, 702 is a prime number.

The prime factorization of 703 is 19 × 37. Since it has a total of 2 prime factors, 703 is a composite number.

It just says to solve for n, anyone able to help me? :,)

Answers

If it’s just solving for n it should be ...n=4 :D

Answer:

n=4

Step-by-step explanation:

n+5{n-2}=14

n+5n-10=14

6n-10=14

  +10  +10

6n=24

6/6=1

24/6=

n=4

Just about adding or subtracting same signs, dont understand what exactly those 2 words are supposed to be...

Answers

is this adding integers or subtracting? if adding then add and keep and if subtracting then subtract and keep

Round to 3 digits 778520

Answers

the answer would be 779.

HELP ME PLEASE ITS BEEN 2 HOURS PLS HELP 3/3//3/3/

Answers

Given:

Length of the base edge (a) = 5 cm

Height of the pentagonal prism (h) = 10 cm

To Find:

The Lateral Surface Area of the Pentagonal Prism.

Formula:

Lateral Surface Area of a Pentagonal Prism = 5ah

Solution:

Lateral Surface Area = 5 (5) (10)

Lateral Surface Area = 5 (50)

Lateral Surface Area = 250 sq.cm

Answer:

250 sq.cm

-6x -4y + 8z = -18
3x + 2y - 4z = 9
2x - 5y + 2z = 5

Answers

Answer:

i am sorry i don't know but i will try to find the answers as soon as possible i am sorry

- Make T the subject of the formula l=gt/4π²​

Answers

Answer:

[tex]t = \frac{4\pi {}^{2} l}{g} [/tex]

Step-by-step explanation:

[tex]l(4\pi ^{2} ) = gt \\ \frac{4\pi {}^{2} l}{g} = t \\ t = \frac{4\pi {}^{2} l}{g} [/tex]

Write an integer for: a deposit of $45 * Plz help fast!

Answers

Answer:

$45

Step-by-step explanation:

A deposit is positive, so the integer will be positive.An integer is a whole number that's not a fraction, so a positive integer for 45, would be 45.

I hope this helps!

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

What are  integers?

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

We have to write an integer for: a deposit of $45 *

A deposit is positive, therefore the integer will be positive.

An integer is a whole number that's not a fraction, thus a positive integer for 45, would be 45.

Learn more about numbers here;

https://brainly.com/question/3151755

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I don't under stand how to do it​

Answers

What is the question asking? Those are just two points on a graph.
F: 2=x and -6=y
G: 8=x and -5=y

Answer:

They are points on a graph. Just put the points on a graph. There's no math to it, really.

Step-by-step explanation:

F(2, -6)

F(x, -y)

and

G(8, -5)

G(x, -y)

Jessica makes overtime pay when she works more than 40 hours in a week. So far this week she has worked 29 hours. She will continue to work h hours this week. Write, solve, and graph an inequality to show the values of h that will allow Jessica to earn overtime pay.

Answers

Answer:11 more hours

Step-by-step explanation:

A local car dealer is advertising a lease on a Ford Explorer. The upfront cost is $5000 with a monthly lease payment of $289. The cost equation is C = 5000 + 289x, where x is the number of payments. Which of the following statement is true?

A: C is an independent and x is a dependent

B; x is an independent and C is a dependent

C: 5000 is an independent and x is a dependent


D: 289 is an independent and 5000 is a dependent

Answers

Answer:

it is B

Step-by-step explanation:

hope this helps you.

consider the sequence -5,1,7,13,19,25 write a recursive definition and a general formula for this sequence

Answers

Answer:

Formula: n+6

In mathematics, a recursive definition is used to define the elements in a set in terms of other elements in the set. 

is anyone elses brainly down

Answers

Yeah my Brainly is too

Answer:

may I have brainly??

Step-by-step explanation:

Solve.
2(2z – 4) = 32
Answer:
Submit Answer
i need the answer, what is it? no explanation needed.

Answers

Answer:

9

Step-by-step explanation:

2(2z-4)=32

4z-4=32

4z=36

z=9

Z= 10. Just distribute the 2 outside the parenthesis first.

I have a terrible problem. I cannot figure it out. What is the blank? 6= _ - (-8)

Answers

Answer:

x=-2

Step-by-step explanation:

[tex]6=x-(-8)\\\\6=x+8\\\\6-8=x+8-8\\\\-2=x[/tex]

Answer:

- 2

Step-by-step explanation:

Step 1:

x - ( - 8) = 6

Step 2:

x + 8 = 6

Step 3:

x = 6 - 8

Answer:

x = - 2

Hope This Helps :)

Point M lies between Points A and B. If AB=12 and AM=7, what is the length of MB?

Answers

Answer:

AB= 12

since M is in the middle

AM + MB = 12

or 7 + MB = 12

MB= 12-7=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

AM + MB = AB

So, AB - AM = MB

Substituting, 12 - 7 = 5

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