Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:

Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is
y - 5 = 9 (x - 1)
y = 9x - 4
Answer:
A point (a, b) rotated around a point (x, y) 180 degrees will transform to point (-(a - x) + x, -(b - y) + y). A point (a, b) rotated around the origin 270 degrees will transform to point (b - y + x, -(a - x) + y).
Step-by-step explanation:
Answer:
y = 110
z = 70
Step-by-step explanation:
Answer:
Width= 85
Length= 485
Step-by-step explanation:
The width will be x, and the length will be x + 400, since it is 400 more than the width.
We know that the perimeter of a rectangle can be found using the equation 2w + 2l.
We plug in the values we have found.
2(x) + 2(x+400) = 1140
4x + 800 = 1140
4x = 340
x = 85
Now we know the width, since it is simply x. To find length all we have to do is add 400.
400 + 85 = 485
I solved it this way ! Hope it helps and correct , cuz I’ve studied this looong time ago ;)