What is the distance between the parallel lines 4(x + y) + 6 = 0 and 8x + 8y + 24 = 0

Asked by Topperlearning User | 20th Oct, 2016, 07:13: AM

Expert Answer:

T h e space g i v e n space l i n e s space a r e space 4 left parenthesis x plus y right parenthesis plus 6 equals 0 space a n d space 4 left parenthesis x plus y right parenthesis plus 12 equals 0
D i s tan c e equals open vertical bar fraction numerator 12 minus 6 over denominator square root of 4 squared plus 4 squared end root end fraction close vertical bar equals fraction numerator 6 over denominator 4 square root of 2 end fraction equals fraction numerator 3 over denominator 2 square root of 2 end fraction

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Answered by  | 20th Oct, 2016, 09:13: AM