Question

calcule a distância de ponto a reta.

a) X+2y+4 e (2,1)
b) 4X+3y-5 (1,0)
c) 6X+8y-20 (1,2)

quero cálculo.​

Answer 1

Vamos lá.

a) x + 2y + 4 e a(2, 1)

A = 1

B = 2

C = 4

x0 = 2

y0 = 1

formula

d = lAx0 + Byo + Cl/√(A² + B²)

d = l2+ 2 + 4l/√(1² + 2²)

d = 8/√5 = 8√5/5

b) 4x + 3y - 5 e a(1,0)

A = 4

B = 3

C = -5

x0 = 1

y0 = 0

d = lAx0 + Byo + Cl/√(A² + B²)

d = l4+ 0 - 5l/√(4² + 3²)

d = 1/5

c) 6x + 8y - 20 e a(1,2)

A = 6

B = 8

C = -20

x0 = 1

y0 = 2

d = lAx0 + Byo + Cl/√(A² + B²)

d = l6 + 16 - 20l/√(6² + 8²)

d = 2/10 = 1/5