1. x midpoint: (-9+4)/(2) = -2
2. y midpoint: (3+7)/(2) = 5
3. The midpoint is (-2,5)
Step-by-step explanation:
Given
22m - 33 = 11( 2m) - 11(3)
= 11 ( 2m - 3 )
Hope it helps :)
Answer:
8
Step-by-step explanation:
2^2+2(4-2)
4+8-4
8
Hope this helps :D
The parametric equations for x and y describe a circle of radius 10 m, so the length of the base of the fence is the length of the circumference of a circle of radius 10 m. The formula for that circumference (C) is ...
... C = 2πr
... C = 2π·(10 m) = 20π m
The height as a function of angle (t) is found by substituting for x and y.
... h(t) = h(x(t), y(t)) = 4 + 0.01·((10cos(t))²-)10sin(t))²) = 4+cos(2t)
The average value of this over the range 0 ≤ t ≤ 2π is 4, since the cosine function has two full cycles in that range, and its average value over a cycle is zero.
Thus, the area of one side of the fence is that of a rectangle 20π m long and 4 m wide. That will be
... (20π m)·(4 m) = 80π m²
The amount of paint required to cover both sides of the fence is
... 2×(80π m²)×(1 L)/(10 m²) = 16π L ≈ 50.3 L
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You can work out the integral for area as a function of t. When you do, you will find it gives this same result.
In this article, professor Hillary Farber talks about 'finding balance' in the use of drones by this she means that we need to find a way that we can use drones and have privacy and be safe. I believe that FAA is working to find a balance because they created new rules for the use of drones. Also, they created a national drone registry or list.
