F(x) = x^(1/3)
f(8000) = 8000^(1/3) = 20
f'(x) = 1/3 * x^(-2/3)
f'(x) = 1/(3x^(2/3))
f'(8000) = 1/(3*8000^(2/3)) = 1/(3*400) = 1/1200
Linear approximation for f(x) about x = 8000
L(x) = f(8000) + f'(8000) (x−8000)
L(x) = 20 + 1/1200 (x−8000)
8030^(1/3) ≈ L(8030)
= 20 + 1/1200 (8030−8000)
= 20 + 30/1200
= 20 + 1/40
= 20.025
I am thinking that the correct answer among the choices presented is option D. The points lie on the line equidistant from the endpoints of AB. <span>The points lie on the line that is the perpendicular-bisector of segment AB. </span>Hope this answers your question.
The answer would be sometimes depending on the problem and what it is doing
Answer:

Step-by-step explanation:
There is only one figure in the attached image and the solution (surface area) is as follows:
The shape can be sub-divided into:
1. Rectangle
Dimension: 40 by 35
2. Rectangle
Dimension: 40 by 28
3. Rectangle
Dimension: 21 by 40
4. 2 triangles
Base: 21 and Height: 28
Calculate area of each and add them up to get the surface area of the figure.
1. Rectangle
Dimension: 40 by 35

2. Rectangle
Dimension: 40 by 28

3. Rectangle
Dimension: 21 by 40

4. 2 triangles
Base: 21 and Height: 28

So, the area is:


Factor out 40



Answer: x = 2/3 and y = 2/3
Step-by-step explanation:
I've attached the solution.
From the solution, you get y = -5x + 4 and
y = x.
Now,
Put y = x in y = -5x + 4.
x = -5x + 4
6x = 4
x = 4/6
x = 2/3
So, y = 2/3 because y = x.