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Hunter-Best [27]
3 years ago
8

Simplify 6/ square root 3+2

Mathematics
2 answers:
Fittoniya [83]3 years ago
8 0

Answer: 12- 6sqrt3

Step-by-step explanation: Because there is a square root in the denominator multiply both the top and bottom by the conjugate. (sqrt3-2)

Simplify to 6sqrt3 -12/-1

Divide by -1

-6sqrt3 + 12

On the test it is written 12 - 6sqrt3 which is the same

Ivenika [448]3 years ago
3 0
From what i see it could be
Exact form: 6 square root 5/ 5
Decimals: 2.68
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(b) For those values of k, verify that every member of the family of functions y = A sin(kt) + B cos(kt) is also a solution. y =
frutty [35]

Answer:

Check attachment for complete question

Step-by-step explanation:

Given that,

y=Coskt

We are looking for value of k, that satisfies 4y''=-25y

Let find y' and y''

y=Coskt

y'=-kSinkt

y''=-k²Coskt

Then, applying this 4y'"=-25y

4(-k²Coskt)=-25Coskt

-4k²Coskt=-25Coskt

Divide through by Coskt and we assume Coskt is not equal to zero

-4k²=-25

k²=-25/-4

k²=25/4

Then, k=√(25/4)

k= ± 5/2

b. Let assume we want to use this

y=ASinkt+BCoskt

Since k= ± 5/2

y=A•Sin(±5/2t)+ B •Cos(±5/2t)

y'=±5/2ACos(±5/2t)-±5/2BSin(±5/2t)

y''=-25/4ASin(±5/2t)-25/4BCos(±5/2t

Then, inserting this to our equation given to check if it a solution to y=ASinkt+BCoskt

4y''=-25y

For 4y''

4(-25/4ASin(±5/2t)-25/4BCos(±5/2t))

-25A•Sin(±5/2t)-25B•Cos(±5/2t).

Then,

-25y

-25(A•Sin(±5/2t)+ B •Cos(±5/2t))

-25A•Sin(±5/2t) - 25B •Cos(±5/2t)

Then, we notice that, 4y'' is equal to -25y, then we can say that y=Coskt is a solution to y=ASinkt+BCoskt

4 0
3 years ago
The price of a television was reduced from $250 to $200. What was the percent decrease in price? HELPP? ILL GIVE YOU A BRAINLLES
Diano4ka-milaya [45]

Answer:

20%

I hope this is good enough:

8 0
3 years ago
What happens to the value of the expression <img src="https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7Bx%7D%20%2B5" id="TexFormula1" tit
Paraphin [41]

Answer:

A) increases

Step-by-step explanation:

5/x + 5

suppose x = 5; then 5/5 + 5 = 1 + 5 = 6

            x = 2; then    5/2 + 5 = 2.5 + 5 = 7.5

            x = 1 ;then 5/1 + 5 = 5 + 5 = 10

So when x value decreases from a large positive number to a small positive number, 5/x + 5 increases

3 0
3 years ago
Rate me also give advice
qwelly [4]

Answer:

You look very nice!

Step-by-step explanation:

it matters what you look like to yourself not how you look to others!

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2 years ago
Which of the following sets of values completes the function table?
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I think the answer is c
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