document.write( "Question 60579This question is from textbook Intermediate Algebra
\n" ); document.write( ": NAVIGATION: The paths of two ships are tracked on the same coordinate system. One ship is following a path described by the equation 2x+3y=6, and the other is following a path described by the equation y=2/3x-3.\r
\n" ); document.write( "\n" ); document.write( "a. Is there a possibility of a collision?\r
\n" ); document.write( "\n" ); document.write( "b. What are the coordinates of the danger point?\r
\n" ); document.write( "\n" ); document.write( "c. Is a collision a certainty?\r
\n" ); document.write( "\n" ); document.write( "While the answers are in the back of the book, I do not know how to get the correct answer. Could someone help me please? Thank you, I am going to school online and I am having difficulty. Much thanks!!
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Algebra.Com's Answer #41579 by venugopalramana(3286)\"\" \"About 
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NAVIGATION: The paths of two ships are tracked on the same coordinate system. One ship is following a path described by the equation 2x+3y=6, and the other is following a path described by the equation y=2/3x-3..PLEASE PUT BRACKETS.DO YOU MEAN (2/3)X - 3 = (2X/3) -3.OR
\n" ); document.write( "[2/(3*X)] -3 ..OR
\n" ); document.write( "[2/(3-X)]...EACH WILL GIVE A DIFFERENT ANSWER.
\n" ); document.write( "I AM TAKING THE I ALTERNATIVE
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\n" ); document.write( "a. Is there a possibility of a collision?
\n" ); document.write( "2X+3Y =6........1
\n" ); document.write( "Y=(2X/3)-3.....2
\n" ); document.write( "FROM EQN.1 DIVIDING WITH 3 WE GET
\n" ); document.write( "(2X/3)+ Y = 2
\n" ); document.write( "Y = 2 - (2X/3).......3..
\n" ); document.write( "SO
\n" ); document.write( "FROM EQNS. 2 AND 3 , WE GET
\n" ); document.write( "2X/3 -3 = 2 -(2X/3)
\n" ); document.write( "(2X/3) + (2X/3) = 2+ 3 =5
\n" ); document.write( "4X/3 =5
\n" ); document.write( "X=15/4
\n" ); document.write( "Y = [2*15/(4*3)]-3 = (5/2)-3=(5-6)/2 = -1/2
\n" ); document.write( " SINCE THE 2 LINES OF TRAVEL MEET AT A POINT THERE IS A POSSIBILITY OF COLLISION\r
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\n" ); document.write( "\n" ); document.write( "b. What are the coordinates of the danger point?
\n" ); document.write( "THE COORDINATES OF COLLISION /DANGER POINT ARE [15/4 , -1/2]\r
\n" ); document.write( "\n" ); document.write( "c. Is a collision a certainty?
\n" ); document.write( "CANT SAY ..DEPENDS ON STARTING POINT ; DIRECTION OF TRAVEL ALONG THE LINE AND SPEED OF TRAVEL IN THAT DIRECTION WHICH ARE ALL NOT GIVEN.
\n" ); document.write( "SUPPOSE THEY ARE STARTING AT A POINT AND TRAVELLING IN THE DIRECTION AWAY FROM DANGER POINT THEN THEY DO NOT COLLIDE.
\n" ); document.write( "EVEN IF THEY ARE TRAVELLING TOWARDS THE DANGER POINT IF ONE IS GOING FASTER AND CROSSES DANGER POINT BEFORE THE OTHER REACHES THEY WILL NOT COLLIDE.
\n" ); document.write( "While the answers are in the back of the book, I do not know how to get the correct answer. Could someone help me please? Thank you, I am going to school online and I am having difficulty. Much thanks!!
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