Respuesta :

Answer:

Distance between the two parallel lines

                            [tex]d = \frac{4}{\sqrt{34} } = 0.6859[/tex]

Step-by-step explanation:

Step(i):-

Given the two equations are 3 x - 5 y =   1   ...(i)

and                                           3 x - 5 y = - 3....(ii)

Distance between the two parallel lines

                                             [tex]d = \frac{|C_{1} - C_{2} | }{\sqrt{a^{2}+b^{2} } }[/tex]

Given equations

                         a = 3 , b = -5 and C₁ = 1 and C₂ = -3

Step(ii):-

Distance between the two parallel lines

                                             [tex]d = \frac{|C_{1} - C_{2} | }{\sqrt{a^{2}+b^{2} } }[/tex]

                                             [tex]d = \frac{|1 - (-3)| }{\sqrt{9+25 } }[/tex]

                                             [tex]d = \frac{4}{\sqrt{34} }[/tex]

Final answer:-

Distance between the two parallel lines

                            [tex]d = \frac{4}{\sqrt{34} }[/tex]

Answer:

The Answer is C. The person above is almost correct, but they did not simplify to 2sqrt34/17

Step-by-step explanation: