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Jose456
@Jose456
January 2020
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Determine as coordenadas do ponto (x,y) equidistantes dos pontos (0,0), (3,2) e (2,5)?
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Comentários (3)
O,o fica na origem
4 votes
Thanks 1
VicenteExatasExatas
1 Vamos pega o ponto A e igualar ao Ponto B
A=B
√x²+y² = √(x-3)² + (y-2)²
x²+ y ²= x² -6× + 9 + y² - 4y + 4
6× + 4y = 13 << 1 EXPRESSAO MONTADA
VAMOS PARA A SEGUNDA IGUALAR PONTO A AO PONTO C
A=C √x²+y² = √(x-2)² + (y-5)²
X² + Y² = X² - 4X + 4 + Y² - 10Y + 25
4X + 10Y = 29 << 2 EQUAÇÃO
Multiplicando as equações (1) e (2) por –2 e 3, respectivamente, obtemos:
-12X -8Y = -26
12X + 30Y = 87
X =
E Y
1 votes
Thanks 1
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Lista de comentários
1 Vamos pega o ponto A e igualar ao Ponto B
A=B
√x²+y² = √(x-3)² + (y-2)²
x²+ y ²= x² -6× + 9 + y² - 4y + 4
6× + 4y = 13 << 1 EXPRESSAO MONTADA
VAMOS PARA A SEGUNDA IGUALAR PONTO A AO PONTO C
A=C √x²+y² = √(x-2)² + (y-5)²
X² + Y² = X² - 4X + 4 + Y² - 10Y + 25
4X + 10Y = 29 << 2 EQUAÇÃO
Multiplicando as equações (1) e (2) por –2 e 3, respectivamente, obtemos:
-12X -8Y = -26
12X + 30Y = 87
X = E Y