Friday 21 February 2014

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That way is very hard when you go and look back again. You look the other one who is (maybe) lucky (based on you). You never know them when you know their personality (even their privacy). Grateful to Allah is very important, because of that you never feel you the poor person, unlucky person, ugly person, stupid person, another condition you don't many people out of there not happy likes you. Have you been heard about the story of disable person, broken home, hard sicks, your child's naughty (bitch), falling in love became fall out of love (broken heart),  problems with your school, or maybe with your final exam and other many problems? Maybe some of you have experience about that problems? You must stand up, wake up with your strengths and spirit. Dont forget, you always have Allah. Or, fortunately, you never have been that condition? Oh..dont forget to be grateful with Allah.

Everyone have the different story with another.  How your family, work, school, life, and love story?
There is many story about people in the world.
There is story about their life not like  their wish.
The employe not grateful with job what they already have. Many people out there not grateful to God. They was fell less and less again. When they don't have, they are want a job as apply in many company. After the job they got, they forget with their force to get their job. Maybe some of you thinking about this job not exact with your banckgroud.
The children who never know where is her parents.
When your soulmate not also come with you. Maybe in otherwise God have the best plan for you. You never know tiil you found him.
May be, part of you usually eat with the delicious or your favorit food, and if you not eat the food which is you want, directly you angry and bad feel with condition and somepeople arround you. I hope thats condition never happen with you. Because, God give you food, you must blessed with Allah.
Maybe some of you look the other people more lucky than you ("neighbour's grass more green than your mine") It is the cause of many people don't blessed with their mine.
Life is process, gaes. You'll get what you want, but you  also can't  get what you want yet. Emm.. Remember we  never know what the God plan for us. :)
The other story about your condition. The condition is general meaning. Cause, there are many people think what they got is not lucky than other peoole. Let's grateful  to Allah for everything what happen with you, because Allah never forget to bless  us.

GOOD NIGHT :)

Tuesday 4 February 2014

Transformasi Geometri

1. Tentukan bayangan garis 3x – 2y + 5 = 0 oleh refleksi terhadap sumbu x.
Penyelesaian
oleh pencerminan terhadap sumbu X
maka: x’ = x                      x = x’
                y’ = -y                    y = -y’
x = x’ dan y = -y’
disubstitusi ke kurva 3x – 2y + 5 = 0
diperoleh: 3x’ – 2(-y’) + 5 = 0
                  3x’ + 2y’ + 5 = 0
Jadi bayangannya adalah 3x + 2y + 5 = 0

2. Garis 2x – 3y = 6 memotong sumbu X di A dan memotong sumbu     y di B. Karena dilatasi [O,-2], titik A menjadi A’ dan titik B menjadi B’.   Hitunglah luas segitiga OA’B’
Penyelesaian
garis 2x – 3y = 6 memotong sumbu X di A(3,0) memotong sumbu Y di B(0,2) karena dilatasi [O,-2] maka
     A’(kx,ky)→ A’(-6,0) dan
     B’(kx,ky) → B’(0,-4)
Titik A’(-6,0), B’(0,-4) dan titik O(0,0) membentuk segitiga seperti pada gambar:


Sehingga luasnya = ½ x OA’ x OB’
                               = ½ x 6 x 4
                               = 12
3.  Carilah matriks yang bersesuaian dengan dilatasi dengan pusat (0,0) dan faktor skala 3 dilanjutkan dengan refleksi terhadap garis y = x 
Penyelesaian
M1= Matrik dilatasi skala 3 adalah
M2 = Matrik refleksi terhadap y = x   adalah  
Matriks yang bersesuaian dengan M1 dilanjutkan M2
ditulis  M2 o M1 =   =
Jadi matriknya adalah

4. Ruas garis AB dengan A(1,5) dan B(3,-2) ditranslasikan 2 satuan searah sumbu X dan 3 satuan searah sumbu Y. Tentukan bayangannya?
Penyelesaian
A’(1 + 2, 5 + 3) = A’(3, 8)
B’(3 + 2, -2 + 3) = B’(5, 1)

5. Tentukan bayangan lingkaran x2+y2-10x+2y+7= 0. Jika dicerminkan terhadap garis y + x = 0!
Penyelesaian
Garis y + x = 0 ⇒y= -x
Diperoleh y = -x’ dan x = -y’
Disubstitusi ke lingkaran diperoleh x^2+y^2-2x+10y+7=0