Minggu, 10 Agustus 2014

Gotta Be You -One Direction Liryc






[Liam]
Girl I see it in your eyes you're disappointed
'Cause I'm the foolish one that you anointed with your heart
I tore it apart
And girl what a mess I made upon your innocence
And no woman in the world deserves this
But here I am, asking you for one more chance

[Harry]
Can we fall, one more time?
Stop the tape and rewind
Oh and if you walk away I know I'll fade
'Cause there is nobody else

It's gotta be you
Only you
It's got to be you
Oh, Only you


[Liam]
Now girl I hear it in your voice and how it trembles
When you speak to me I don't resemble, who I was
You've almost had enough
And your actions speak louder than words
And you're about to break from all you've heard
Don't be scared, I ain't going no where

[Zayn]
I'll be here, by your side
No more fears, no more crying
But if you walk away
I know I'll fade
'Cause there is nobody else

[All, Harry leading voice]
It's gotta be you
Only you
It's got to be you
Oh, Only you

[Zayn]
Oh girl, can we try one more, one more time?
One more, one more, can we try?
One more, one more time
I'll make it better
[All, Zayn leading voice]
One more, one more, can we try?
One more, one more,
Can we try one more time to make it all better?

[All, Harry leading voice]
'Cause it's gotta be you
Its gotta be you
Only you
Oh, Only you

It's gotta be you
Only you
It's got to be you
Oh, Only you



More Than This -One Direction, Liryc

More Than This"
[Liam]
I’m broken, do you hear me?
I’m blinded, ‘cause you are everything I see,
I’m dancin’ alone, I’m praying,
That your heart will just turn around,

And as I walk up to your door,
My head turns to face the floor,
‘Cause I can’t look you in the eyes and say,


When he opens his arms and holds you close tonight,
It just won’t feel right,
‘Cause I can love you more than this, yeah,
When he lays you down,
I might just die inside,
It just don’t feel right,
‘Cause I can love you more than this,
Can love you more than this

[Niall]
If I’m louder, would you see me?
Would you lay down
In my arms and rescue me?
‘Cause we are the same
You save me,
When you leave it’s gone again,

[Louis]
And then I see you on the street,
In his arms, I get weak,
My body fails, I’m on my knees
Prayin’,

When he opens his arms and holds you close tonight,
It just won’t feel right,
‘Cause I can love you more than this, yeah,
When he lays you down,
I might just die inside,
It just don’t feel right,
‘Cause I can love you more than this,

[Zayn]
Yeah, I’ve never had the words to say,
But now I’m askin’ you to stay
For a little while inside my arms,
And as you close your eyes tonight,
I pray that you will see the light,
That’s shining from the stars above,

(And I say)

[Liam]
When he opens his arms and holds you close tonight,
It just won’t feel right,
‘Cause I can love you more than this,

[Zayn]
‘Cause I can love you more than this, yeah

When he lays you down,
I might just die inside,
It just don’t feel right,
‘Cause I can love you more than this, yeah,

When he opens his arms and holds you close tonight,
It just won’t feel right,
‘Cause I can love you more than this, yeah

When he lays you down,
I might just die inside (oh, yeah),
It just don’t feel right,
‘Cause I can love you more than this,
Can love you more than this


I Wish- One Direction Liryc

Na na na na na na
Na na na na na na
He takes your hand
I die a little
I watch your eyes
And I'm in riddles
Why can't you look at me like that
When you walk by
I try to say it
But then I freeze
And never do it
My tongue gets tied
The words gets trapped
I hear the beat of my heart getting louder
Whenever I'm near you
But I see you with him slow dancing
Tearing me apart
Cause you don't see
Whenever you kiss him
I'm breaking,Oh how I wish that was me
He looks at you
The way that I would
Does all the things, I know that I couldIf only time, could just turn back
Cause I got three little words
That I've always been dying to tell you
But I see you with him slow dancing
Tearing me apart
Cause you don't see
Whenever you kiss him
I'm breaking,Oh how I wish that was me
With my hands on your waist
While we dance in the moonlightI wish it was me
That you call later on
Cause you wanna say good night
Cause I see you with him slow dancing
Tearing me apart
Cause you don't see
But I see you with him slow dancing
Tearing me apart
Cause you don't see
Whenever you kiss him
I'm breaking,
Oh how I wishOh how I wishOh how I wish, that was me
Oh how I wish, that was me

Jumat, 08 Agustus 2014

Menyederhanakan dan Merasionalkan Bentuk Akar




Perhatikan contoh-contoh berikut:

Soal No. 1
Hitung dan sederhanakan bentuk akar berikut ini:
a) √2 + 3√2 + 5√2
b) 5√3 + 3√3 − √3
c) 8√3 + 6 √2 + 12√3 − 4√2
Pembahasan
a) √2 + 3√2 + 5√2
= (1 + 3 + 5)√2 = 9√2

b) 5√3 + 3√3 − √3
= (5 + 3 − 1)√3 = 7√3

c) 8√3 + 6 √2 + 12√3 − 4√2
= 8√3 + 12√3 + 6√2 − 4√2 = (8 + 12)√3 + (4 − 2)√2 = 20√3 + 2√2

Soal No. 2
Hitung dan sederhanakan:
a) √2 + √4 + √8 + √16
b) √3 + √9 + √27
c) 2√2 + 2√8 + 2√32

Pembahasan
a) √2 + √4 + √8 + √16
= √2 + √4 + √4 √ 2 + √16 = √2 + 2 + 2√2 + 4 = 2 + 4 + √2 + 2√2 = 6 + 3√2

b) √3 + √9 + √27
= √3 + √9 + √9 √3 = √3 + 3 + 3√3 = 3 + 4√3

c) 2√2 + 2√8 + 2√32
= 2√2 + 2√4 √2 + 2√16 √2 = 2√2 + 2 (2)√2 + 2(4)√2 = 2√2 + 4√2 + 8√2 = 14√2

Soal No. 3
Sederhanakan :
5√24 + 3√3(√18 + 2√32)

Pembahasan
5√24 + 3√3(√18 + 2√32)
= 5√4 √6 + 3√3 √18 + 3√3 . 2√32
=5.2 √6 + 3√3 √9√2 + 3√3 .2√16√2
= 10√6 + 3√3 .3√2 + 3√3 . 2 .4√2
= 10√6 + 9√6 + 24√6 = 43√6

Soal No. 4
Sederhanakan:
(1 + 3√2) − (4 − √50)

Pembahasan
(1 + 3√2) − (4 − √50)
= 1 + 3√2 − 4 + √50
= 1 + 3√2 − 4 + √25 √2
= 1 + 3√2 − 4 + 5√2
= − 3  + 8√2 atau = 8√2 − 3

Soal No. 5
Sederhanakan bentuk berikut:
a) 5/√3
b) 20/√5

Pembahasan
a) 5/√3
        5     √3      5
= _____ x ___ = ___ √3
      √3    √3      3

b) 20/√5

      20     √5      20
= _____ x ___ = _____ √5  = 4 √5
     √5     √5       5

Soal No. 6
Sederhanakan bentuk berikut:
a).
http://matematikastudycenter.com/images/soal-bentuk-akar-10-sma-6a.gif

b).
http://matematikastudycenter.com/images/soal-bentuk-akar-10-sma-6b.gif
Pembahasan
a).
http://matematikastudycenter.com/images/jawaban-soal-bentuk-akar-10-sma-6a.gif

a).
http://matematikastudycenter.com/images/jawaban-soal-bentuk-akar-10-sma-6b.gif

Catatan:
Untuk mempercepat perkalian, ingat kembali rumus:
(a + b)(a − b) = a2 − b2
sehingga
(√2 + √3)(√2 − √3) = (√2)2 − (√3)2 = 2 − 3 = − 1

Soal No. 7
Sederhanakan bentuk berikut:

http://matematikastudycenter.com/images/soal-bentuk-akar-10-sma-7.gif

Pembahasan
http://matematikastudycenter.com/images/jawaban-soal-bentuk-akar-10-sma-7.gif

Soal No. 8
Sederhanakan bentuk akar berikut:
http://matematikastudycenter.com/images/soal-bentuk-akar-10-sma-8.gif
(Untuk soal b, tanda plusnya diganti minus saja ya!!!!)
Pembahasan
Arahkan soal ke bentuk berikut:
http://matematikastudycenter.com/images/rumus-bentuk-akar-10-sma-8.gif
dengan nilai a > dari nilai b
Sehingga:
http://matematikastudycenter.com/images/jawaban-soal-bentuk-akar-10-sma-8.gif

= 2√2 − √5
Soal No. 9
Berapa hasilnya?

http://matematikastudycenter.com/images/update-rasional-akar-9a.png

Pembahasan
Dimisalkan dulu, kita namakan p saja

http://matematikastudycenter.com/images/update-rasional-akar-9b.png

Kuadratkan ruas kiri, kuadratkan ruas kanan. Yang ruas kiri jadi p kuadrat, yang ruas kanan jadi hilang akar yang paling depan.

http://matematikastudycenter.com/images/update-rasional-akar-9c.png

Diruas kanan terlihat bentuk 12 +...., dimana muncul lagi bentuk yang  persis dengan p yang kita misalkan tadi, jadi kasih nama p lagi juga. Terus susun yang bagus, jadi persamaan kuadrat, kemudian faktorkan seperti waktu kelas 2 atau 3 smp dulu.

http://matematikastudycenter.com/images/update-rasional-akar-9d.png

Jadi, hasilnya adalah 4.
Soal No. 10
Berapa hasilnya?

http://matematikastudycenter.com/images/bentuk-akar-10a.gif

Pembahasan
Seperti sebelumnya, misalkan sebagai p dulu

http://matematikastudycenter.com/images/bentuk-akar-10b.gif

Kuadratkan ruas kiri-kanan, kiri jadi p kuadrat, kanan hilang akar paling luar, setelah itu ketemu persamaan kuadrat, faktorkan:

http://matematikastudycenter.com/images/bentuk-akar-10c.gif

Jadi hasilnya:

http://matematikastudycenter.com/images/bentuk-akar-10d.gif

p = 0 tidak dipakai (tidak memenuhi)