tolong jawab beserta caranya ya :)
Matematika
lisa622
Pertanyaan
tolong jawab beserta caranya ya :)
1 Jawaban
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1. Jawaban DB45
6.
garis g melalui (x,y) = (4,3) memotong sb x di A(a,0) dan sb y di B(0,b)
Luas Δ AOB maksimum , maka x = 1/2 a--> a = 2x dan y = 1/2 b--> b = 2y
a = 2(4) = 8
b = 2(3) = 6
A(8,0) dan B (0,6)
AB = √(8²+6²)
AB = 10 cm
7. grafik K --> y = (x+1)/(x-1)
titik potong dgn sub x , y = 0
0 = (x+1)/(x-1)
x - 1 ≠0 dan x + 1= 0
x = -1
titik potong = titik singgung = (x,y)=(-1,0)
.
gradien grs singgung g --> mg = y'
y = (x+1)/(x-1)
u = (x+1) --> u' = 1
v = (x-1)--> v' = 1
y' = (u'v - uv')/(v²) --> y' = (1(x-1) - (x+1)(1)) / (x-1)²
mg = (x-1 -x -1)/(x-1)² = (-2)/(x-1)²
untuk x = -1 --> mg = (-2)(-1-1)² = -2/4 = -1/2
gradien garis h tegak lurus garis g --> mh = - 1/mg = -1/(-1/2) = 2
pers garis g dengan gradien mh = 2 melalui (-1,0)
y - y1 = m(x -x 1)
y - 0 = 2(x - (-1))
y = 2(x +1)
y = 2x + 2
..