Answer:
The route across the park is 40 meter shorter than the route around its edges.
Step-by-step explanation:
We have to calculate the distance for both routes
As the route around the edges is straight, we have to find the sum of length of both edges
Let
be the distance of route around edges

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.
We can use Pythagoras theorem to find the length of the diagonal
So,

In the given scenario
P = 60
B = 80
Now

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

Hence,
The route across the park is 40 meter shorter than the route around its edges.
Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.
There are several ways to do this...here's one
Let (0, 4) be a point on the first line
Then.......a line with a negative reciprocal slope going through this point will have the equation :
y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal
-x + 4 = x - 6 add x, 6 to both sides
10 = 2x divide both sides by 2
5 = x
So...using -x + 4, the y value at intersection = -1.......
So...we just need to find the distance from (0,4) to ( 5, -1) =
√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units
Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)
Step-by-step explanation:
Answer:
The point of maximum growth is at x=0.82
Step-by-step explanation:
Given a logistic function

we have to find the point of maximum growth rate for the logistic function f(x).
From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at
i.e between 0 to 12
So, we can take
and then solve for x.

⇒ 
⇒
⇒ 
⇒ log 3=-1.3x
⇒ -0.4771=-1.3.x ⇒ x=0.82
Hence, the point of maximum growth is at x=0.82
20 - 10.40 = 6x
9.60 = 6x
x = 1.60 the price of each avocado
Answer:
question 1 would be A because the answer are expanded brackets