Matematika

Pertanyaan

nomor 23 24 25 tolong yah....
nomor 23 24 25 tolong yah....

1 Jawaban

  • 23.
    2sin120 - cos210 + 3sin60
    = (2 × ½√3) - (-½√3) + (3 × ½√3)
    = √3 + ½√3 + 3/2√3
    = √3 + 2√3
    = 3√3

    24.
    (3x² - 10x + 3)/(2x² - 3x - 9)
    = ((x - 3)(3x - 1))/((x - 3)(2x + 3))
    = (3x - 1)/(2x + 3)
    = (3 × 3 - 1)/(2 × 3 + 3)
    = (9 - 1)/(6 + 3)
    = 8/9

    25.
    (2 - √(x + 1))/(x - 3)
    = (2 - √(x + 1))/(x - 3) × (2 + √(x + 1))/(2 + √(x + 1))
    = (4 - (x + 1))/((x - 3)(2 + √(x + 1))
    = (3 - x)/((x - 3)(2 + √(x + 1))
    = -(x - 3)/((x - 3)(2 + √(x + 1))
    = -1/(2 + √(x + 1))
    = -1/(2 + √(3 + 1))
    = -1/(2 + √4)
    = -1/(2 + 2)
    = -¼