1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
icang [17]
2 years ago
10

5+√2/4+√8

Mathematics
1 answer:
nikdorinn [45]2 years ago
8 0

Answer:

r = 5   ; s = -9

Step-by-step explanation:

<h3>   Radical simplification.</h3>

First simplify √8  by

  • Prime factorize 8
  • Make pairs of similar factor
  • Take one factor out of every pair.

   \sf \sqrt{8}=\sqrt{2*2*2} = 2\sqrt{2}\\

\sf \dfrac{5+\sqrt{2}}{4}+\sqrt{8}= \dfrac{5+\sqrt{2}}{4}+ 2\sqrt{2}

          Find LCM and simplify

                     \sf = \dfrac{5+\sqrt{2}}{4}+\dfrac{2\sqrt{2}*4}{1*4}\\\\  =\dfrac{5+\sqrt{2}+8\sqrt{2}}{4} \ {\bf Combine \ like\  terms} \\\\ = \dfrac{5+9\sqrt{2}}{4}\\\\

 \sf \boxed{r=5}\\\\\boxed{s =-9}

You might be interested in
Solve for the unknown variable. 144=-12(x+5)
dolphi86 [110]

Answer: x=-17


Step-by-step explanation:

We first distribute the -12 across to the (x+5)

144=-12(x+5)

144=-12x-60

Then, we add 60 to both sides.

204 = -12x

Lastly, we divide the equation by -12.

204/-12 = -12x/-12

-17 = x

3 0
3 years ago
Read 2 more answers
The tens digit of a two-digit number is twice the units digit. If the digits are reversed, the new number is 36 less than the or
Ludmilka [50]
Try this solution:
let the unknown two-digits number be 'xy'.
Then it is possible to write any two-digit number as 10x+y, where x - the tens digit and y - the unit digit.
Using the rule described above the phrase 'the tens digit of a number is twice the units digit' may be written as x=2y.
Using the same rule the phrase 'if the digits are reversed, the new number is 36 is less than the original number' may be written as (10x+y)-(10y+x)=36.
These two equations may be resolved as system of two equations:
\left \{ {{x=2y} \atop {10x+y-(10y+x)=36}} \right. \ =\ \textgreater \  \  \left \{ {{x=8} \atop {y=4}} \right.
Check: the original number is 84, the new number is 48; difference is 84-48=36.

answer: 84
7 0
4 years ago
9 cm + 2.8 cm = 11.8
den301095 [7]
It depends on the precision you want.

Considering the data you've given, if you want the result in cm, the numbers should be rounded to 9 and 3, thus giving a total of 12, with two significant numbers.

But taking into account the precision you've reported, looks like the decimals do matter, and in that case, the numbers should be rounded to 9.0 and 2.8, giving a total of 11.8, thus, three significative figures.
4 0
3 years ago
Read 2 more answers
Please help me I’m struggling :’(
Vesna [10]

Answer:

B. x = \sqrt{40}

Step-by-step explanation:

Using Pythagorean theorem, find the value of x.

Pythagorean theorem is given as c^2 = a^2 + b^2

Where,

c is the longest side of a right angled ∆ = the hypotenuse = x

a and b are legs of the right angled ∆ = 2 and 6

Plug in the values into the equation and solve for x

x^2 = 2^2 + 6^2

x^2 = 4 + 36

x^2 = 40

x = \sqrt{40}

5 0
3 years ago
What other angle between O and 360 degrees has the same TAN value as 71
atroni [7]

Answer:

<u>-289 degrees</u>

Step-by-step explanation:

You are looking for what is called  <u>Coterminal Angles</u>.

To find a coterminal angle between 0 and 360 you <u>add or subtract</u> 360.

  1. In this case, we subtracted 360 from 71
  2. 71 - 360 = -289
  3. tan(-289) = 2.90
  4. If  TAN 71 = 2.90 and TAN -289 = 2.90, you know -289 is your answer.

Hope this helps!! Please mark Brainliest!!!

5 0
2 years ago
Other questions:
  • Need Help ASAP!!
    10·1 answer
  • 1 ten thousands + 19 thousands+ 2 tens + 9 ones in standard form
    10·1 answer
  • Help please thanks.............
    13·1 answer
  • What is the range of the function: {(1, 3); (3, 5); (5, 7); (7, 9)}?                                     A. {1, 3, 5, 7}        
    5·2 answers
  • A hospital employees a total of 77 nurses and doctors the ratio of nurses to doctors is 92 how many nurses are employed at the h
    12·1 answer
  • A rectangular prism has a length of 3 1/2 inches, a width of 3 1/2 inches, and a height of 7 inches. Danny has a storage contain
    11·2 answers
  • Help ya’ll smart people help me
    13·1 answer
  • When multiplying by 10 how many spaces do you move the decimal point
    9·1 answer
  • CARPENTRY Laura wants to cut a board
    11·1 answer
  • What is the solution to the system of equations graphed below? y = x + 2 y = 3x – 2 A. (0, 2) B. (2, 4) C. (4, 2) D. (0, –2)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!