Question

Seja B o ponto de coordenadas (2,6) e r: 2x+4y-1=0 determine a distância entre eles.

Answer 1

Olá!!!

Resolução!!

B ( 2, 6 ) e r : 2x + 4y - 1 = 0
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D = | ax + by + c |/√a² + b²
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D = | 2x + 4y - 1 |/√2² + 4²
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D = | 2 • 2 + 4 • 6 - 1/√4 + 16

D = | 4 + 24 - 1 |/√20

D = | 27 |/2√5

D = 27/2√5

D = 27/2√5 • 2√5/2√5 → 54√5/4 • 5 → 54√5/20

R = 54√5/20 u. c

Espero ter ajudado!