Iklan

Iklan

Pertanyaan

Jika ∣ a ∣ = 6 ; ∣ ∣ ​ b ∣ ∣ ​ = 5 , ∣ ∣ ​ a + b ∣ ∣ ​ = 9 maka a ∙ ( a + b ) = …

Jika  maka  

  1. 36  

  2. 46  

  3. 54  

  4. 60  

  5. 90 

Iklan

E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

jawaban yang benar adalah B.

Iklan

Pembahasan

Ingat kembali rumus berikut. Dari rumus diatas diperoleh Karena maka Dengan demikian Jadi, jawaban yang benar adalah B.

Ingat kembali rumus berikut.

  • table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar p with bar on top plus q with bar on top close vertical bar squared end cell equals cell open vertical bar p with bar on top close vertical bar squared plus 2 open parentheses p with bar on top bullet q with bar on top close parentheses plus open vertical bar q with bar on top close vertical bar squared end cell end table 
  • top enclose p bullet top enclose p equals open vertical bar top enclose p close vertical bar squared
  • top enclose a bullet left parenthesis top enclose a plus top enclose b right parenthesis equals top enclose a bullet top enclose a plus top enclose a bullet top enclose b 

Dari rumus diatas diperoleh

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar a with bar on top plus b with bar on top close vertical bar squared end cell equals cell open vertical bar a with bar on top close vertical bar squared plus 2 open parentheses a with bar on top bullet b with bar on top close parentheses plus open vertical bar b with bar on top close vertical bar squared end cell row cell 9 squared end cell equals cell 6 squared plus 2 open parentheses a with bar on top bullet b with bar on top close parentheses plus 5 squared end cell row 81 equals cell 36 plus 2 open parentheses a with bar on top bullet b with bar on top close parentheses plus 25 end cell row 81 equals cell 36 plus 25 plus 2 open parentheses a with bar on top bullet b with bar on top close parentheses end cell row 81 equals cell 61 plus 2 open parentheses a with bar on top bullet b with bar on top close parentheses end cell row cell 81 minus 61 end cell equals cell 2 open parentheses a with bar on top bullet b with bar on top close parentheses end cell row 20 equals cell 2 open parentheses a with bar on top bullet b with bar on top close parentheses end cell row cell 20 over 2 end cell equals cell open parentheses a with bar on top bullet b with bar on top close parentheses end cell row 10 equals cell open parentheses a with bar on top bullet b with bar on top close parentheses end cell end table 

Karena open parentheses a with bar on top bullet b with bar on top close parentheses equals 10 maka

 table attributes columnalign right center left columnspacing 0px end attributes row cell a with bar on top bullet open parentheses a with bar on top plus b with bar on top close parentheses end cell equals cell a with bar on top bullet a with bar on top plus a with bar on top bullet b with bar on top end cell row blank equals cell open vertical bar a with bar on top close vertical bar squared plus 10 end cell row blank equals cell 6 squared plus 10 end cell row blank equals cell 36 plus 10 end cell row blank equals 46 end table

Dengan demikian a with bar on top bullet open parentheses a with bar on top plus b with bar on top close parentheses equals 46

Jadi, jawaban yang benar adalah B.

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

11

Iklan

Iklan

Pertanyaan serupa

Hitunglah a ⋅ ( a + b + c ) jika pada segitiga sama sisi berikut panjang setiap sisi 4 satuan.

6

0.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia