0
What are the points of intersection when the line y equals x plus 5 passes through the curve x2 plus 4x plus y2 -18y plus 59 equals 0?
Wiki User
∙ 6y ago
If: y = x+5 then y^2 = (x+5)^2
If: x^2 +4x +y^2 -18y +59 = 0 then x^2 +4x +(x+5)^2 -18(x+5) +59 = 0
Multiplying out brackets and collecting like terms: 2x^2 -4x -6 = 0
Dividing all terms by 2: x^2 -2x -3 = 0
Factorizing the above: (x+1)(x-3) = 0 meaning x = -1 or x = 3
Therefore by substitution points of intersection are at: (-1, 4) and (3, 8)
Wiki User
∙ 6y ago
Add your answer:
Earn +20 pts
What are the points of intersection of the line x -y equals 2 with x squared -4y squared equals 5?
The points of intersection are: (7/3, 1/3) and (3, 1)
What are the points of intersection of 3x -2y -1 equals 0 with 3x squared -2y squared equals -5 on the Cartesian plane?
Points of intersection work out as: (3, 4) and (-1, -2)
Determine the slope of the line that passes through the points?
Where are the points!
The graph of a function of the form y equals ax passes through which points?
The origin and infinitely many other points of the form (x, ax) where x is any real number.
What is the Euler line?
In any triangle that is not equilateral, the Euler line is the straight line passing through the orthocentre, circumcentre and centroid. In an equilateral triangle these three points are coincident and so do not define a line.Orthocentre = point of intersection of altitudes.Circumcentre = point of intersection of perpendicular bisector of the sides.Centroid = point of intersection of medians.Euler proved the collinearity of the above three. However, there are several other important points that also lie on these lines. Amongst them,Nine-point Centre = centre of the circle that passes through the bottoms of the altitudes, midpoints of the sides and the points half-way between the orthocentre and the vertices.
What are the points of intersection of the line x -y equals 2 with x squared -4y squared equals 5?
The points of intersection are: (7/3, 1/3) and (3, 1)
What are the points of intersection of 3x -2y -1 equals 0 with 3x squared -2y squared equals -5 on the Cartesian plane?
Points of intersection work out as: (3, 4) and (-1, -2)
What are the points of intersection when the line y equals -8 -3x passes through the curve y equals -2 -4x - x squared?
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)
Determine the slope of the line that passes through the points?
Where are the points!
Where are the points of intersection of the equations 4y squared -3x squared equals 1 and x -2y equals 1?
The points of intersection of the equations 4y^2 -3x^2 = 1 and x -2 = 1 are at (0, -1/2) and (-1, -1)
What is the slope of the line that passes through the given points?
The slope of a line that passes through two points is (difference in y) / (difference in x).
The graph of a function of the form y equals ax passes through which points?
The origin and infinitely many other points of the form (x, ax) where x is any real number.
What is a linebest fit in a scatterplot?
It is a line that passes through or nearly passes through the plotted points on the coordinated grid.
What is the Euler line?
In any triangle that is not equilateral, the Euler line is the straight line passing through the orthocentre, circumcentre and centroid. In an equilateral triangle these three points are coincident and so do not define a line.Orthocentre = point of intersection of altitudes.Circumcentre = point of intersection of perpendicular bisector of the sides.Centroid = point of intersection of medians.Euler proved the collinearity of the above three. However, there are several other important points that also lie on these lines. Amongst them,Nine-point Centre = centre of the circle that passes through the bottoms of the altitudes, midpoints of the sides and the points half-way between the orthocentre and the vertices.
What is the equation of a line in general form that passes through points -1 2 and 5 2 y - 2 equals 0 x - 2 equals 0 y - x - 2 equals 0?
y - 2 = 0
How many lines passes through 4 points?
there are 6 lines can pass through 4 noncollinear points.
Write the equation of the line that passes through the points 12 and 6 and 12 and -4?
Write the equation of the line that passes through the points (3, -5) and (-4, -5)
