Matematika

Pertanyaan

1. Garis 2x+y=6 dicerminkan Sumbu Y
2. Garis x-2y=7 Di Translasi (3,-2)
3. Garis 2x+3y=4 dilatasi P ( 0,0 ), skala 2?

Tolong di Jawab Point Lumayan

1 Jawaban

  • Nmr 1
    (x,y) Ref[sb.Y] (x',y') = (-x,y)
    • x' = -x → x = -x'
    • y' = y
    maka,
    2x+y=6
    2(-x')+y' = 6
    -2x'+y = 6

    Nmr 2
    (x,y) Trans[3 -2] (x',y') = (x+3, y-2)
    • x' = x+3 → x = x'-3
    • y' = y-2 → y = y'+2
    maka,
    x-2y = 7
    (x'-3)-2(y'+2) = 7
    x'-2y'-5 = 7
    x'-2y' = 12

    Nmr 3
    (x,y) Dil.[(0,0), 2] (x',y') = ((2)x, (2)y)
    • x' = 2x → x = ½x'
    • y' = 2y → y = ½y'
    maka,
    2x+3y = 4
    2(½x')+3(½y') = 4
    x'+3/2y' = 4
    2x'+3y' = 8

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