Question

find the distance between the pair of parallel lines with the given equations.
$x = -6$
$x = 5$
a) 8 units
b) 11 units
c) $\sqrt{122}$ or about 11.05 units
d) $10\sqrt{2}$ or about 14.04 units

Explanation:

Step1: Analyze the nature of the lines

The equations \(x = - 6\) and \(x = 5\) represent vertical lines. For vertical lines \(x=a\) and \(x = b\), the distance \(d\) between them is given by \(d=\vert a - b\vert\).

Step2: Calculate the distance

Here \(a=-6\) and \(b = 5\). Then \(d=\vert-6 - 5\vert=\vert-11\vert = 11\)

Answer:

B. 11 units