document.write( "Question 928287: I need help finding the distance for this problem.\r
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document.write( "Find the distance between parallel lines whose equations are y = -x + 2 and y = -x + 8.\r
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document.write( "The answer choices are:\r
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document.write( "A) 3 √ 2\r
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document.write( "B) 2 √ 17\r
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document.write( "C) 10\r
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document.write( "D) 2 √ 29\r
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document.write( "(the √ is a square root bracket)\r
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document.write( "Thanks for your help in advance! \n" );
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Algebra.Com's Answer #563560 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Find the distance between parallel lines whose equations are \n" ); document.write( "y = -x + 2 and y = -x + 8. \n" ); document.write( "------ \n" ); document.write( "Draw the given lines. \n" ); document.write( "One point on the 1st line is (0,2) \n" ); document.write( "--- \n" ); document.write( "Find equation of the line perpendicular to the 1st line and \n" ); document.write( "passing thur (0,2):: \n" ); document.write( "y = mx + b \n" ); document.write( "Solve for \"b\" \n" ); document.write( "2 = 1*0 + b \n" ); document.write( "b = 2 \n" ); document.write( "Equation: y = x + 2 \n" ); document.write( "------- \n" ); document.write( "Find intersecetion of that line with the 2nd given line:: \n" ); document.write( "x+2 = -x+8 \n" ); document.write( "2x = 6 \n" ); document.write( "x = 3 \n" ); document.write( "y = -x+8 \n" ); document.write( "y = -3+8 \n" ); document.write( "y = 5 \n" ); document.write( "Intersection point is (3,5) \n" ); document.write( "----- \n" ); document.write( "Find distance of (0,2) to (3,5) \n" ); document.write( "--- \n" ); document.write( "d = sqrt((5-2)^2+(3-0)^2) = sqrt(9 + 9) = 3sqrt(2) \n" ); document.write( "================================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=================== \n" ); document.write( " The answer choices are: \n" ); document.write( "A) 3 √ 2 \n" ); document.write( "B) 2 √ 17 \n" ); document.write( "C) 10 \n" ); document.write( "D) 2 √ 29 \n" ); document.write( " \n" ); document.write( " |