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What is the point of contact when the line of y equals x -8 touches the curve of 4x squared plus 13x plus 1 equals y at one point and showing work?
Since the line "y = x - 8" is already solved for "y", you can replace "y" for "x - 8" in the equation for the curve, then solve the single equation. Usually this requires using the quadratic equation (or equivalent methods, such as factoring) at some point.
Another Answer:-
If: 4x² + 13x + 1 = y and y = x - 8
Then: 4x² + 13x + 1 = x - 8
Deduct x and add 8 to both sides and so: 4x² + 12x + 9 = 0
Solving the above quadratic equation by factorization:
4x² + 12x + 9 = 0 → (2x + 3)² = 0
→ 2x + 3 = 0
→ x = -3/2
→ y = -3/2 - 8 = -19/2
Therefore point of contact by substitution: (-3/2, -19/2)
What else can I help you with?
What is the point of contact when the line y equals 2x plus 1.25 touches the curve y squared equals 10x?
Combine the equations together and using the quadratic equation formula it works out that the point of contact is at (5/8, 5/2)
Where is the point of contact when the line y equals 2x plus 1.25 touches the curve y squared equals 10x?
If y = 2x +10 and y^2 = 10x then by forming a single quadratic equation and solving it the point of contact is made at (5/8, 5/2)
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)
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 point of contact when the tangent line y equals x plus c touches the curve y equals 3x -x -5x squared?
-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
