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Where are the points of intersection of the straight line 3x -y equals 5 with the curve 2x squared plus y squared equals 129?

(52/11, 101/11) and (-2, -11) Rearrange 3x-y = 5 into y = 3x-5 and substitute this into the curve equation and then use the quadratic equation formula to find the values of x which leads to finding the values of y by substituting the values of x into y = 3x-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


At what point is the line of y equals x -4 tangent to the curve of x squared plus y squared equals 8?

(2, -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 is the value of k when y equals 3x plus 1 and is a line tangent to the curve of x squared plus y squared equals k?

k = 0.1


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 is the area under a curve with mu equals 15 and sigma equals 2?

If the question is to do with a probability distribution curve, the answer is ONE - whatever the values of mu and sigma. The area under the curve of any probability distribution curve is 1.


What are the coordinates of the line x-y equals 2 that intersects the of curve x squared-4y squared equals 5?

If you mean the coordinates of the line x-y = 2 that intersects the curve of x2-4y2 = 5 Then the coordinates work out as: (3, 1) and (7/3, 1/3)


What are the possible values of k if the line y equals 2x plus k with the curve of y equals x squared -2x -7 at 2 distintive points or at only 1 point?

It works out that k must be greater than -11 or k must equal -11


What are the points of intersection of the line y equals -8-3x with the curve y equals -2-4x-x squared?

They work out as: (-3, 1) and (2, -14)


What is the length of the line x -y equals 2 that spans the curve x squared - 4y squared equals 5?

The line x-y = 2 intersects with the curve x^2 -4y^2 = 5 at (2.5, 1/3) and (3, 1) and by using the distance formula its length is 5/6


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)