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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 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
What is a squared plus b squared equals c squared when a equals 2 and c equals 6?
b = sqrt32 or 4 root 2
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 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
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 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)
What is the exact point of contact when the curve of y equals x squared -10x plus 13 touches the curve of y equals x squared -4x plus 7 showing work?
If: y = x^2 -10x +13 and y = x^2 -4x +7 Then: x^2 -10x +13 = x^2 -4x +7 Transposing terms: -6x +6 = 0 => -6x = -6 => x = 1 Substituting the value of x into the original equations point of contact is at: (1, 4)
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
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...
