Find the distances between parallel lines
2x+y-5=0 and 2x+y+2=0

Explanation

To find the distance between the parallel lines given by the equations \(2x + y - 5 = 0\) and \(2x + y + 2 = 0\), we can use the formula for the distance \(d\) between two parallel lines of the form \(Ax + By + C_1 = 0\) and \(Ax + By + C_2 = 0\):

\[ d = \frac{|C_2 - C_1|}{\sqrt{A^2 + B^2}} \]

### Step-by-Step Solution:

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