document.write( "Question 1201988: A point Q on a segment with endpoints A (2, −1) and C (4, 2) partitions the segment in a 4:1 ratio. Find Q. Show all your work for full credit. \r
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Algebra.Com's Answer #836615 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: Q(3.6, 1.4)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Reason:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Refer to this image \n" ); document.write( " ![]() \n" ); document.write( "We split segment AB into 5 pieces (because we add the parts of the ratio 4:1) \n" ); document.write( "AB = 2 units long \n" ); document.write( "AB/5 = 2/5 = 0.4 \n" ); document.write( "Each space is 0.4 units (eg: EF = 0.4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Start at A and move 4 spaces to the right to arrive at G(3.6,-1) \n" ); document.write( "Go straight up along the dashed line to arrive at point Q(3.6, 1.4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A similar process is carried out for the vertical segment BC. \n" ); document.write( "BC = 3 units \n" ); document.write( "BC/5 = 3/5 = 0.6 \n" ); document.write( "Each smaller piece is 0.6 units long \n" ); document.write( "eg: segment JK = 0.6 \n" ); document.write( "We start at B and move 4 spaces up to arrive at K, which is the same height as point Q (as noted by the dashed line).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Another approach would be to use the formula mentioned in this lesson \n" ); document.write( "https://www.algebra.com/algebra/homework/formulas/split-segment-n-pieces.lesson \n" ); document.write( "and here is an example problem that uses that formula \n" ); document.write( "https://www.algebra.com/algebra/homework/Length-and-distance/Length-and-distance.faq.question.1197813.html \n" ); document.write( "Although you won't have to worry about every red point in that example. \n" ); document.write( " \n" ); document.write( " |