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What the points of intersection of x -2y equals 8 with xy showing key stages of work?
If: x-2y = 8 and xy = 24
Then: x = 8+2y and so (8+2y)y = 24 => 8y+2y2-24 = 0
Solving the quadratic equation: y = -6 or y = 2
By substitution points of intersection: (-4, -6) and (12, 2)
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What are the points of intersection of x plus y equals 7 with x squared plus y squared equals 25 showing key stages of work?
If: x+y = 7 and x2+y2 = 25 Then: x = 7-y and so (7-y)2+y2 = 25 => 2y2-14y+24 = 0 Solving the quadratic equation: y = 4 and y = 3 By substitution points of intersection: (3, 4) and (4, 3)
What are the points of intersection of x2 plus y2 plus 4x plus 6y -40 equals 0 with x -y equals 10 showing key stages of work?
If: x^2+y^2+4x+6y -40 = 0 and x -y = 10 Then by rearranging: x = 10+y and 2y^2+30y+100 = 0 Solving the above quadratic equation: y = -10 and y = -5 Points of intersection by substitution are: (0, -10) and (5, -5)
What are the points of intersection of the parabolas y equals 4x squared -2x -1 and -2x squared plus 3x plus 5 showing key stages of work?
If: y = 4x2-2x-1 and y = -2x2+3x+5 Then: 4x2-2x-1 = -2x2+3x+5 So: 6x2-5x-6 = 0 Solving the quadratic equation: x = -2/3 or x = 3/2 Points of intersection by substitution: (-2/3, 19/9) and (3/2, 5)
What are the points of intersection of the line 3x -y equals 5 with the curve of 2x squared plus y squared equals 129 with key stages of work shown?
If: 3x-y = 5 and 2x2+y2 = 129 Then: x = 5/3+y/3 and so 2(5/3+y/3)2+y2 = 129 => 50+20y+2y2+9y2 = 1161 Therefore: 11y2+20y-1111 = 0 Solving the quadratic equation: y = -11 or y = 101/11 By substitution points of intersection are: (-2, -11) and (52/11, 101/11)
What is the perpendicular distance from the coordinates of 7 and 5 to the straight line of 3x plus 4y -16 equals 0 showing key stages of work?
Points: (7, 5) Equation: 3x+4y-16 = 0 Perpendicular equation: 4x-3y-13 = 0 Equations intersect at: (4, 1) Length of perpendicular line: 5
Who has recorded fewest points in champions league group stages?
Many teams have recorded 0 points in the champions league group stages. But Milan have recorded 5 points and still qualified to the next round. that is the record.
What is the perpendicular distance from the point of 2 4 on the Cartesian plane to the straight line equation of y equals 2x plus 10 showing key stages of work?
1 Equation: y = 2x+10 2 Perpendicular equation works out as: 2y = -x+10 3 Point of intersection: (-2, 6) 4 Distance is the square root of: (-2-2)2+(6-4)2 = 2 times sq rt of 5
How many points is a win in the FIFA World Cup 2010?
you just need more goals than the opponent
What is the perpendicular distance from the point 4 -2 to the line 2x -y -5 equals 0 showing key stages of work?
Points: (4, -2) Equation: 2x-y-5 = 0 Perpendicular equation: x+2y = 0 Equations intersect at: (2, -1) Perpendicular distance is the square root of: (2-4)2+(-1--2)2 = 5 Distance = square root of 5
What are the solutions to the simultaneous equations of 6.6x plus 16.5y equals 52.8 and -16.5x -6.6y equals 6.6 showing key stages of work?
Eqn (A): => 2x + 5y = 16 Eqn (B): => 5x + 2y = -2 5*Eqn (A) - 2*Eqn (B): 21y = 84 => y = 4 Substituting for y in Eqn (a): x = -2
What does Hold Points and Witness Points mean?
Hold Points and Witness Points are terms used in quality control and inspection processes. Hold Points are specific stages in a project where work must pause for inspection and approval before proceeding, ensuring compliance with standards. Witness Points, on the other hand, refer to stages where the client or an inspector is invited to observe the work being performed, but approval is not required to continue. Both points are crucial for maintaining quality and accountability in construction and manufacturing processes.
Tour de france point system?
The Tour de France uses a points system to reward riders for their performance in various stages and competitions throughout the race. Points are awarded based on finishing positions in both individual stages and the overall classification, with higher placements earning more points. Additionally, points are given for intermediate sprints and for the best sprinters in the green jersey competition. This system encourages competitive racing and rewards consistency and speed across different stages.
