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janah
@janah
October 2020
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A distância do ponto A(-3,y) ao ponto B(3,4) é 10 unidades. Determine o valor de y.
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gigi18
A(-3;y) e B(3;4) e D=10
(x₁;y₁) (x₂;y₂)
D=√Δx²+Δy² VERIFICANDO:
10=√(x₂-x₁)+(y₂-y₁) D=√Δx²+Δy²
10=√(3-(-3))+(4-y) 10=√(3+3)+(4-3)
10=√(3+3)+(4-y) 10=√9+1
10=√9+4-y (10)²=(√10)²
(10)²=(√9+4-y)² 10=10
10=9+4-y
y=9+4-10
y=13-10
y=3
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(x₁;y₁) (x₂;y₂)
D=√Δx²+Δy² VERIFICANDO:
10=√(x₂-x₁)+(y₂-y₁) D=√Δx²+Δy²
10=√(3-(-3))+(4-y) 10=√(3+3)+(4-3)
10=√(3+3)+(4-y) 10=√9+1
10=√9+4-y (10)²=(√10)²
(10)²=(√9+4-y)² 10=10
10=9+4-y
y=9+4-10
y=13-10
y=3