Answer:
Length = 30√2 yards.
Step-by-step explanation:
There is a plot of land of square shape that has 30 yards on each side. Jules owns this plot. He plans to divide the land in half by building a fence along the diagonal of the plot.
We have to calculate the length of the fence.
Now, the length of the diagonal will be the length of the fence.
So, the length =
yards. (Answer)
Answer:
For f(x) to be differentiable at 2, k = 5.
Step-by-step explanation:
For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.
For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.
Now,
f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.
As h tends to 0, lim (5 – 2h) = 5
Also
f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h
As h tends to 0, lim (5 + 3h) = 5.
So, for f(2) to be continuous k = 5
Answer:
It means the factor that we multiply by itself three times to get that number.
Answer:
1. A, because 4(2)=8. 2 is the x.
2. B, because 2.5 x 4 = 10, which makes sense.
3. B, because 5x is the amount that you want to put into equal parts and the 3 is just being subtracted from the amount of the equal parts from the 5x.
4. C.
Step-by-step explanation:
Answer:
~8.66cm
Step-by-step explanation:
The length of a diagonal of a rectangular of sides a and b is

in a cube, we can start by computing the diagonal of a rectangular side/wall containing A and then the diagonal of the rectangle formed by that diagonal and the edge leading to A. If the cube has sides a, b and c, we infer that the length is:

Using this reasoning, we can prove that in a n-dimensional space, the length of the longest diagonal of a hypercube of edge lengths
is

So the solution here is
