2. What is the distance between the lines 2x + 4=0 and x-5=0? (a) 1 unit (b) 2 units (c) 5 units (d) 7 units
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The distance between the line 2x + 4 = 0 and x-5=0 is
(d) 7 units
For the first line, 2x + 4 = 0,
we equate to get, x = -4/2 = -2
There is no y coordinate.
So, first point (-2,0)
For the second point x - 5 = 0,
we equate to get, x = 5
There is no y coordinate.
So, second point (5,0)
The distance between the two points = √[{5-(-2)}² + (0-0)²]
= √(5+2)²
= √7²
= 7 units
Step-by-step explanation:
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