Answer:

Step-by-step explanation:
Solve for the value of
:

-Switch sides:


-Add
on both sides:


Therefore, the value of
is
.
When a line and a curve are tangent to each other, they are joined together by 1 point (x,y). So, you equate both equations either in terms of x or y. For this problem, let's equate in terms of y.
y = k - x
y = x² + 3x + 1
k - x = x² + 3x + 1
k = x² + 3x + x + 1
k = x² + 4x + 1
This would be the value of k. Since we are not given the common point, it can only be expressed in terms of x or y.
X^3 + h^3 - 3x-3h - x^3 +3x h^3 - 3h h^2 - 2h
------------------------------------- = ------------------ =
h h
Answer: 6y I think. If you would have to add all of the y’s and so you would have 3 y’s and then you add both 3 y’s so 6y
I don’t know if I am right sorry if I’m wrong