diketahui titik A (3,2,X), dan B (2.1,2).jika |AB| = 3√3.tentukan nilai X
Matematika
Miza18
Pertanyaan
diketahui titik A (3,2,X), dan B (2.1,2).jika |AB| = 3√3.tentukan nilai X
1 Jawaban
-
1. Jawaban arifsman12
AB = b - a = (2,1,2) -(3,2,x) = (-1, -1,2-x)
IABI = 3v3
[tex] {( - 1)}^{2} + {( - 1)}^{2} + {(2 - x)}^{2} = {(3 \sqrt{3}) }^{2} \\ 2 + 4 - 4x + {x}^{2} = 27 \\ {x}^{2} - 4x - 21 = 0 \\ (x + 3)(x - 7) = 0 \\ x = - 3ataux = 7[/tex]
x= -3 atau x=7