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What are the points of contact when the line x -y equals 2 crosses the curve x squared -4y squared equals 5 showing work?
Wiki User
∙ 6y ago
If: x -y = 2 then x^2 = (2+y)^2 => 4+4y+y^2
If: x^2 -4y^2 = 5 then x^2 = 5+4y^2
So: 5+4y^2 = 4+4y+y^2
Transposing terms: 3y^2 -4y +1 = 0
Factorizing the above: (3y-1)(y-1) = 0 meaning y = 1/3 or y = 1
By substitution contacts are made at: (7/3, 1/3) and (3, 1)
Wiki User
∙ 6y ago
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Where are the points of contact when the line 2x plus 5 equals 4 crosses the curve y squared equals x plus 4 on the Cartesian plane?
The two solutions are (x, y) = (-0.5, -sqrt(3.5)) and (-0.5, sqrt(3.5))
What number squared equals 30?
5.477225575 squared equals 30.
What equals 121 when its squared?
The number that equals 121 when squared is 11.
What is a squared plus b squared equals c squared when a equals 2 and c equals 6?
b = sqrt32 or 4 root 2
Does 6xy-8xy equals -2x squared y squared?
No, it equals -2xy. lrn2math
Where are the points of contact when the line 2x plus 5 equals 4 crosses the curve y squared equals x plus 4 on the Cartesian plane?
The two solutions are (x, y) = (-0.5, -sqrt(3.5)) and (-0.5, sqrt(3.5))
What is the value of c when y equals x plus c is a tangent to the curve y equals 3 -x -5x squared hence finding the point of contact of the line with the curve showing work?
-2
What is the value of k when y equals 3x plus 1 is a line tangent to the curve of x squared plus y squared equals k hence finding the point of contact of the line to the curve?
It is (-0.3, 0.1)
What number squared equals 30?
5.477225575 squared equals 30.
What equals 121 when its squared?
The number that equals 121 when squared is 11.
What is a squared plus b squared equals c squared when a equals 2 and c equals 6?
b = sqrt32 or 4 root 2
Does 6xy-8xy equals -2x squared y squared?
No, it equals -2xy. lrn2math
What are the full range of values for k when the line y equals x -3 meets the curve of x squared -3y squared equals k showing work?
0
If A squared plus B squared equals C squared and C equals 8 and A and B are the same length what are A and B?
4
Where are the points of contact when the line 3x -y equals 5 passes through the curve 2x squared plus y squared equals 129?
It works out that line 3x-y = 5 makes contact with the curve 2x^2 +y^2 = 129 at (52/11, 101/11) and (-2, -11)
Assuming A squared plus b squared equals c squared and a equals 10 and b equals 30 what is c?
C equals the square root of 1000 or 31.622776601683793319988935444327...
What is 66 squared?
66 squared equals 4,356.
