The lines which are perpendicular to 3x + 6y = 5 are; Choice B and C; y = 2x - 1 and y - 4 = 2(x + 7).
Perpendicular lines
From the task content, it follows that the given equation is; 3x+ 6y = 5.
By rewriting the equation in slope intercept form; it follows that; y = (-1/2)x +5/6. Hence, the slope of the line is; -1/2.
From line geometry, it follows that two lines are perpendicular if; m1 × m2 = -1.
Therefore, a line perpendicular to the given line will have a slope of 2.
From the given option, the lines which are perpendicular to 3x + 6y = 5 upon conversion to the Slope-intercept form are; Choice B and C.
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