Equations: x -y = 2 and x^2 -4y^2 = 5
By combining the equations into a single quadratic equation in terms of y and solving it: y = 1/3 or y = 1
By means of substitution the points of intersection are at: (7/3, 1/3) and (3, 1)
They work out as: (-3, 1) and (2, -14)
If: x-2y = 1 and 3xy-y2 = 8 Then: x =1+2y and so 3(1+2y)y-y2 = 8 => 3y+5y2-8 = 0 Solving the quadratic equation: y = 1 or y = -8/5 Points of intersection by substitution: (3, 1) and (-11/5, -8/5)
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Is the integral of the curve - between the two end points.
A chord is a line segment between two points on a given curve. Basically it's two points that are connected with a line which all happens to be on a curve. Most likely a circle
They work out as: (-3, 1) and (2, -14)
Straight line: 3x-y = 5 Curved parabola: 2x^2 +y^2 = 129 Points of intersection works out as: (52/11, 101/11) and (-2, -11)
What is the area under the normal curve between z equals 0.0 and z equals 2.0?
The intersection of the individual graphs. In the simplest case, the graph for each equation consists of a line (or some curve); the intersection is the points where the lines or curves meet.
If: x-2y = 1 and 3xy-y2 = 8 Then: x =1+2y and so 3(1+2y)y-y2 = 8 => 3y+5y2-8 = 0 Solving the quadratic equation: y = 1 or y = -8/5 Points of intersection by substitution: (3, 1) and (-11/5, -8/5)
the equilibrium price of a good or service
If the curve is part of the circumference of the circle, it is called an arc.
If: y = 10x -12 and y = x^2 +20x +12 Then: x^2 +20x +12 = 10x -12 Transposing terms: x^2 +10x +24 = 0 Factorizing: (x+6)(x+4) = 0 => x = -6 or x = -4 Points of intersection by substitution are at: (-6, -72) and (-4, -52)
If: y = -8 -3x and y = -2 -4x -x^2 Then: -8 -3x = -2 -4x - x^2 Transposing terms: x^2 +x -6 = 0 Factorizing: (x-2)(x+3) = 0 => x = 2 or x = -3 Points of intersection by substitution are at: (2, -14) and (-3, 1)
The curve between two points is known as an arc. Arcs and circles are used extensively in geometry. They are used in the real world by engineers and digital artists.
It is a straight line joining two different points on a curve which does not cross the curve between those two points.
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