sanamohammed200
sanamohammed200 sanamohammed200
  • 27-12-2020
  • Mathematics
contestada

ASAP
Find, correct to two
decimal places, the shortest distance
from the point (4, -1) to the line y=-5x – 3
plz help!!
​

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 27-12-2020

9514 1404 393

Answer:

  4.31

Step-by-step explanation:

The distance from point (x, y) to line ax +by +c = 0 is given by the formula ...

  d = |ax +by +c|/√(a² +b²)

Putting the equation of the line into the required form, we have ...

  5x +y +3 = 0

So, the distance from point (4, -1) to the line is ...

  d = |5(4) +(-1) +3|/√(5² +1²) = 22/√26

  d ≈ 4.31

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