llamfacedh llamfacedh
  • 01-05-2020
  • Mathematics
contestada

Find the distance between the lines with equations -9x-8y+4=0 and y=-9/8x+6

Respuesta :

rkerachel rkerachel
  • 01-05-2020

Answer:

=1.338029

Step-by-step explanation:

-9x-8y+4=0

8y = -9x + 4

Eq 1. y = -(9/8)x + 4       x = 1, y = 2.875       y =  4.875, x = -0.778

Eq 2. y= -(9/8)x + 6       x = 1, y = 4.875       y =  4.875, x = 1

distance btwn lines

is distance btwn these points:

(0.111, 3.875) (1, 4.875)

Distance Equation Solution:

=[tex]\sqrt{(1−0.111)2+(4.875−3.875)2}[/tex]

=[tex]\sqrt{(0.889)2+(1)2\\}[/tex]

=[tex]\sqrt{0.790321+1}[/tex]

=√1.790321

=1.338029

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