0
What are the values of the 3 variables in which y equals kx plus 1 is a tangent to y squared equals 8x?
Wiki User
∙ 6y ago
If: y = kx+1 then by using the discriminant y = 2x+1
If: y = 2x+1 then y^2 = (2x+1)^2 or 4x^2 +4x +1
If y^2 = 4x^2 +4x +1 and y^2 = 8x
Then: 4x^2 +4x +1 = 8x or 4x^2 -4x +1 = 0
Factorizing the above: (2x-1)(2x-1) = 0 meaning x = 1/2
By substitution into the original equations: y = 2
Therefore the values of the 3 variables are: k = 2, x = 1/2 and y = 2
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoThere is no possible solution.The parabola is symmetric about the y-axis, while the given line has a y-intercept at (0, 1) and is, therefore, "inside" the curve of the parabola. No straight line from inside a parabola can be a tangent to it.
Add your answer:
Earn +20 pts
What are the values of the variables when y equals x plus c is a tangent to the curve y equals 3 -x -5x squared?
-2
What are the values of x and y when x minus y equals 0 and x squared plus y squared equals 18?
(x, y) = (-3, -3) or (3, 3)
What are the possible values of k in the line y equals kx -2 which is tangent to the curve y equals x squared -8x plus 7?
The possible values for k are -2 and -14 because in order for the line to be tangent to the curve the discriminant must be equal to 0 as follows:- -2x-2 = x2-8x+7 => 6-x2-9 = 0 -14x-2 = x2-8x+7 => -6-x2-9 = 0 Discriminant: 62-4*-1*-9 = 0
What is x squared plus 20x plus c?
The value of such an expression depends on the values assigned to the variables, in this case, x and c.
How do you prove in 3 different ways that the line of y equals x -4 is tangent to the curve of x squared plus y squared equals 8?
If: y = x-4 and y = x2+y2 = 8 then 2x2-8x+8 = 0 and the 3 ways of proof are: 1 Plot the given values on a graph and the line will touch the curve at one point 2 The discriminant of b2-4ac of 2x2-8x+8 must equal 0 3 Solving the equation gives x = 2 or x = 2 meaning the line is tangent to the curve
What are the values of the variables when y equals x plus c is a tangent to the curve y equals 3 -x -5x squared?
-2
What are the values of k when the line of y equals kx -2 is a tangent to the curve of y equals x squared -8x plus 7?
If: y = kx -2 and y = x^2 -8x+7 Then the values of k work out as -2 and -14 Note that the line makes contact with the curve in a positive direction or a negative direction depending on what value is used for k.
What are the values of x and y when x minus y equals 0 and x squared plus y squared equals 18?
(x, y) = (-3, -3) or (3, 3)
What are the possible values of k in the line y equals kx -2 which is tangent to the curve y equals x squared -8x plus 7?
The possible values for k are -2 and -14 because in order for the line to be tangent to the curve the discriminant must be equal to 0 as follows:- -2x-2 = x2-8x+7 => 6-x2-9 = 0 -14x-2 = x2-8x+7 => -6-x2-9 = 0 Discriminant: 62-4*-1*-9 = 0
Why can't you have x equals a?
Because the variables of x and a have different values so they can't be equal.
What is x squared plus 20x plus c?
The value of such an expression depends on the values assigned to the variables, in this case, x and c.
How do you prove in 3 different ways that the line of y equals x -4 is tangent to the curve of x squared plus y squared equals 8?
If: y = x-4 and y = x2+y2 = 8 then 2x2-8x+8 = 0 and the 3 ways of proof are: 1 Plot the given values on a graph and the line will touch the curve at one point 2 The discriminant of b2-4ac of 2x2-8x+8 must equal 0 3 Solving the equation gives x = 2 or x = 2 meaning the line is tangent to the curve
What is sin squared x equals cos squared minus 2 sin x?
Since the word 'equals' appears in your questions it might be what is called a trigonometric identity, in other words a statement about a relationship between various trigonometric values.
Where do the curves of y equals 4x squared -2x -1 and y equals -2x squared plus 3x plus 5 intersect?
They intersect at points (-2/3, 19/9) and (3/2, 5) Solved by combining the two equations together to equal nought and then using the quadratic equation formula to find the values of x and substituting these values into the equations to find the values of y.
What are the possible values of k when the equation x squared plus 2kx plus 81 equals 0 has equal roots?
Using the discriminant the possible values of k are -9 or 9
How do tell the solution of an inequality?
Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.Substitute the values of the variables into the inequality. If the inequality is true then they are a solution, if not, they are not.
What do the asymptotes represent when you graph the tangent function?
When you graph a tangent function, the asymptotes represent x values 90 and 270.
