answersLogoWhite

0

If: kx+y = 4 and y = x^2+8

Then: x^2+8 = 4-kx => x^2+4+kx = 0

For the line to be tangent to the curve the discriminant of b^2-4(ac) must = 0

So: k^2-4(1*4) = 0 => k^2 -16 = 0 => k^2 = 16 => k = +/- 4

Therefore: y+4x = 4 and y-4x = 4 are tangents to the curve y = x^2+8

User Avatar

Wiki User

9y ago

Still curious? Ask our experts.

Chat with our AI personalities

MaxineMaxine
I respect you enough to keep it real.
Chat with Maxine
ReneRene
Change my mind. I dare you.
Chat with Rene
RafaRafa
There's no fun in playing it safe. Why not try something a little unhinged?
Chat with Rafa

Add your answer:

Earn +20 pts
Q: What are the values of k when kx plus y equals 4 is tangent to the curve y equals x squared plus 8 showing work?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

These values are also called because they are the values at which the equation equals zero?

zeros values at which an equation equals zero are called roots,solutions, or simply zeros. an x-intercept occurs when y=o ex.) y=x squared - 4 0=(x-2)(x+2) (-infinity,-2)(-2,2) (2,infinity)


What are the points of intersection of the parabolas of y equals 4x squared -12x -3 and y equals x squared plus 11x plus 5 on the Cartesian plane?

The points are (-1/3, 5/3) and (8, 3).Another Answer:-The x coordinates work out as -1/3 and 8Substituting the x values into the equations the points are at (-1/3, 13/9) and (8, 157)


Is there Two possible squared values of 100?

If you mean "are there two values which, when squared, equal 100" then the answer is yes. 102 = 100 -102 =100 If you mean "Can 1002 result in two different answers" then the answer is no. 1002 = 10,000


Why should you keep the prism in minimum deviation position?

f a line is drawn parallel to the angle of incidence axis (X-axis), it cuts the graph at two points, showing that there are two values of angle of incidence for an angle of deviation. However, at the point of angle of minimum deviation, the line will be tangent to the curve showing that for minimum angle of deviation there is only one angle of incidence.


What is the squared deviation from the mean?

A set of numbers will have a mean, which is defined as the sum of all the values divided by the number of values. Suppose this mean is m. For each of the values, the squared deviation is the square of the difference between that value and m. Algebraicly, if you have a set {x1, x2, x3, ... , xn}, whose mean is m, then the squared deviation from the mean for x1 is (x1 - m)2.