Roboguru

Pertanyaan

begin mathsize 14px style M end style merupakan titik tengah garis begin mathsize 14px style AB end style dengan begin mathsize 14px style A left parenthesis 4 comma minus sign 5 right parenthesis end style dan begin mathsize 14px style B left parenthesis minus sign 6 comma 9 right parenthesis end style. Jika titik begin mathsize 14px style A end stylebegin mathsize 14px style B end style, dan undefined didilatasi oleh begin mathsize 14px style open square brackets left parenthesis 2 comma negative 3 right parenthesis comma space k equals 4 close square brackets end style, tentukan:

b. panjang bayangan garis undefined.

O. Rahmawati

Master Teacher

Mahasiswa/Alumni UIN Sunan Gunung Djati Bandung

Jawaban terverifikasi

Pembahasan

Dilatasi oleh open square brackets P left parenthesis a comma b right parenthesis comma D left parenthesis k right parenthesis close square brackets adalah

open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row k 0 row 0 k end table close parentheses open parentheses table row cell x minus a end cell row cell y minus b end cell end table close parentheses plus open parentheses table row a row b end table close parentheses

Pembahasan:

  • Menentukan bayangan titik A dan B
  • Titik A

open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row k 0 row 0 k end table close parentheses open parentheses table row cell x minus a end cell row cell y minus b end cell end table close parentheses plus open parentheses table row a row b end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row 4 0 row 0 4 end table close parentheses open parentheses table row cell 4 minus 2 end cell row cell negative 5 minus left parenthesis negative 3 right parenthesis end cell end table close parentheses plus open parentheses table row 2 row cell negative 3 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row 4 0 row 0 4 end table close parentheses open parentheses table row 2 row cell negative 2 end cell end table close parentheses plus open parentheses table row 2 row cell negative 3 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell 4 left parenthesis 2 right parenthesis plus left parenthesis 0 right parenthesis left parenthesis negative 2 right parenthesis end cell row cell 0 left parenthesis 2 right parenthesis plus left parenthesis 4 right parenthesis left parenthesis negative 2 right parenthesis end cell end table close parentheses plus open parentheses table row 2 row cell negative 3 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row 8 row cell negative 8 end cell end table close parentheses plus open parentheses table row 2 row cell negative 3 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row 10 row cell negative 11 end cell end table close parentheses

                  Jadi, A apostrophe left parenthesis 10 comma negative 11 right parenthesis.

  • Titik B:

open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row k 0 row 0 k end table close parentheses open parentheses table row cell x minus a end cell row cell y minus b end cell end table close parentheses plus open parentheses table row a row b end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row 4 0 row 0 4 end table close parentheses open parentheses table row cell negative 6 minus 2 end cell row cell 9 minus left parenthesis negative 3 right parenthesis end cell end table close parentheses plus open parentheses table row 2 row cell negative 3 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row 4 0 row 0 4 end table close parentheses open parentheses table row cell negative 12 end cell row 12 end table close parentheses plus open parentheses table row 2 row cell negative 3 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell 4 left parenthesis negative 12 right parenthesis plus left parenthesis 0 right parenthesis left parenthesis 12 right parenthesis end cell row cell 0 left parenthesis negative 12 right parenthesis plus left parenthesis 4 right parenthesis left parenthesis 12 right parenthesis end cell end table close parentheses plus open parentheses table row 2 row cell negative 3 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell negative 48 end cell row 48 end table close parentheses plus open parentheses table row 2 row cell negative 3 end cell end table close parentheses open parentheses table row cell x apostrophe end cell row cell y apostrophe end cell end table close parentheses equals open parentheses table row cell negative 46 end cell row 45 end table close parentheses

                     Jadi, B apostrophe equals left parenthesis negative 46 comma 45 right parenthesis.

  • Menentukan panjang A apostrophe B apostrophe:

table attributes columnalign right center left columnspacing 0px end attributes row cell open vertical bar A apostrophe B apostrophe close vertical bar end cell equals cell square root of open parentheses b subscript 2 minus a subscript 2 close parentheses squared plus open parentheses b subscript 1 minus a subscript 1 close parentheses squared end root end cell row blank equals cell square root of open parentheses 45 plus 11 close parentheses squared plus open parentheses negative 46 minus 10 close parentheses squared end root end cell row blank equals cell square root of 56 squared plus 56 squared end root end cell row blank equals cell square root of 2 open parentheses 56 squared close parentheses end root end cell row blank equals cell 56 square root of 2 end cell end table

Jadi, panjang bayangan A B adalah 56 square root of 2.

17

0.0 (0 rating)

Pertanyaan serupa

Tentukan bayangan titik-titik berikut oleh perkalian yang berpusat di P(1,2) dan faktor skala 5. b. S(3,1)

27

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 Ruangguru

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia