2. A ke B (ke Timur) = x km
B ke C (ke selatan) = (3x+3) km
Jarak AC = 25km
Ditanya : Jarak BC ?
Dijawab :
Untuk mencari ini kita gunakan rumus Phytagoras
AC² = AB² + BC²
25² = x² + (3x+3)²
625 = x² + 9x² + 18x + 9
625 = 10x² + 18x + 9
10x² + 18x - 616 = 0
5x² + 9x - 308 = 0
(5x + 44)(x - 7) = 0
5x = -44 maka x = -44/5 (tidak memenuhi)
x = 7
Jarak BC = 3x + 3
= 3(7) + 3
= 21 + 3 = 24km
5. 1/2(4-x) - 1/3(1+x) = 1/4
6/12(4-x) - 4/12(1+x) = 3/12
2 - 6/12x - 4/12 - 4/12x = 3/12
2 - 4/12 - 3/12 = 6/12x + 4/12x
10/12x = 17/12
x = 17/12 x 12/10 = 17/10 = 1,7
7. 2(3x+2) >2(x-4)
6x + 4 > 2x -8
6x - 2x > -8 - 4
4x > -12
x > -3
Mapel: Matematika
Kelas: 8
Materi: Operasi bentuk aljabar
Kata Kunci: Aljabar
Kode soal: 2
Kode Kategorisasi : 8.2.1
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Verified answer
2. A ke B (ke Timur) = x km
B ke C (ke selatan) = (3x+3) km
Jarak AC = 25km
Ditanya : Jarak BC ?
Dijawab :
Untuk mencari ini kita gunakan rumus Phytagoras
AC² = AB² + BC²
25² = x² + (3x+3)²
625 = x² + 9x² + 18x + 9
625 = 10x² + 18x + 9
10x² + 18x - 616 = 0
5x² + 9x - 308 = 0
(5x + 44)(x - 7) = 0
5x = -44 maka x = -44/5 (tidak memenuhi)
x = 7
Jarak BC = 3x + 3
= 3(7) + 3
= 21 + 3 = 24km
5. 1/2(4-x) - 1/3(1+x) = 1/4
6/12(4-x) - 4/12(1+x) = 3/12
2 - 6/12x - 4/12 - 4/12x = 3/12
2 - 4/12 - 3/12 = 6/12x + 4/12x
10/12x = 17/12
x = 17/12 x 12/10 = 17/10 = 1,7
7. 2(3x+2) >2(x-4)
6x + 4 > 2x -8
6x - 2x > -8 - 4
4x > -12
x > -3
Mapel: Matematika
Kelas: 8
Materi: Operasi bentuk aljabar
Kata Kunci: Aljabar
Kode soal: 2
Kode Kategorisasi : 8.2.1