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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)
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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 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 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
What is the order of the pyramid?
The pyramid elements are based on the five-act plays of classical Greek drama. There are 5 stages and two major points within the stages. 1. Exposition or Introduction (Inciting incident) 2. Rising action 3. Climax, 4. Falling action, (Resolution) 5. Dénouement
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 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 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 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)
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)
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.
How many points is a win in the FIFA World Cup 2010?
you just need more goals than the opponent
What is the length of the line that spans the curves of y equals 4x squared -2x -1 and y equals -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 above quadratic equation: x = -2/3 and x = 3/2 Points by substitution are: (-2/3, 19/9) and (3/2, 5) Length of line is the square root of: (-2/3 -3/2)2+(19/9-5)2 = 65/18
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.
How does successional stages differ from primary succession?
The succession stages differ from primary succession as the stages are nothing more than mere points of succession. Meanwhile, primary succession is considered to be a complete success and not just a point in success.
How are points given in world cup soccer?
In the group stages, 3 for a win, 1 for a draw and 0 for a loss. The last 16 is knock out so no points.
The different stages of development in anImals?
Much can be read on this subject and all major points must be studied, very basically the stages are:FertilizationCleavageGastrulationOrganogenesisPlease see related links below!
How many stages are in Freud's personality theory?
Freud's personality theory consists of three main stages: id, ego, and superego. These stages represent the different components of the human psyche that develop at different points in an individual's life.
