Question

calcule a distância entre as retas r 4x + 3y – 9 = 0 e s 8 x + 6y – 2 = 0

Answer 1

Olá!!

Resolução!!

r : 4x + 3y - 9 = 0 e s : 8x + 6y - 2 = 0

4x + 3y - 9 = 0

x = 3

4x + 3y - 9 = 0
4 • 3 + 3y - 9 = 0
12 + 3y - 9 = 0
3y = - 12 + 9
3y = - 3
y = - 3/3
y = - 1

P ( 3, - 1 ) e s : 8x + 6y - 2 = 0

````````````````````````````````````______
D = | ax + by + c |/√a² + b²
````````````````````````````````````______
D = | 8x + 6y - 2 |/√8² + 6²
``````````````````````````````````````````````_______
D = | 8 • 3 + 6 • (-1) - 2|/√64 + 36

D = | 24 - 6 - 2 |/√100

D = | 16 |/10

D = 16/10 : 2

D = 8/5 u. c

R = A distância é 8/5 u. c

Espero ter ajudado!