When you arrange the N points in sequence around the polygon (clockwise or counterclockwise), the area is half the magnitude of the sum of the determinants of the points taken pairwise. The N determinants will also include the one involving the last point and the first one.
For example, consider the vertices of a triangle: (1,1), (2,3), (3,-1). Its area can be computed as
(1/2)*|(1*3-1*2) +(2*-1-3*3) +(3*1-(-1)*1)|
= (1/2)*|1 -11 +4| = 3
Answer:
You find the constant of proportionality by how much u need to add or subtract the same number to get the same answer and in a graph you need to see if the line goes through the origin (0,0).
Step-by-step explanation:
Answer:
6 seconds
Step-by-step explanation:
Using the information from the problem, if Emily continues to pick 3 strawberries per second while Sophia eats 5 strawberries per second, then the amount of strawberries will decrease at a rate of 2 strawberries per second. Therefore, we can find the answer by subtracting 2 from 20 until we get to 8. Since we subtract 2 six times, the answer is 6. Hope this makes sense!
The figure below shows a diagram of this problem. First of all we graph the hemisphere. This one has a radius equal to 1. Given that z ≤ 0 a sphere will be valid only in the negative z-axis, that is, we will get a half of a sphere that is the hemisphere shown in the figure. We know that this hemisphere is oriented by the inward normal pointing to the origin, then we have a Differential Surface Vector called
N, using the Right-hand rule <span>the boundary orientation is </span>counterclockwise.
Therefore, the answer above
False
