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:
2x^2 +11
Step-by-step explanation:
f(x) = 3x^2 + 2 and g(x) = x^2 – 9
(f – g)(x) = 3x^2 + 2 -( x^2 – 9)
Distribute the minus sign
3x^2 + 2 - x^2 + 9
Combine like terms
2x^2 +11
Answer:
0 and yes
Step-by-step explanation:
Let a=6m where m is any integer since a is divisible by 6. (a+12)/3=(6m+12)/3=2m+4 which is also an integer. The remainder is 0.
Since n is divisible by 3, n can be written as 3a, where a is any integer and m can be written as 2b, where b is any integer. n*m+12=6ab+12 which is divisible by 2.
Answer:
Find total surface area. Multiply material unit cost by the total surface area.
Step-by-step explanation:
To find the cost of a container, you must first find the total surface area of the container. Then since you are given the unit cost for the material, you multiply the total surface are by the unit cost ($0.0015/in.²).
Make each into improper fraction
2 x 8 + 5. = 21 / 8
3(10) + 2 = 32/3
21/8(32/3) = ((21x32)/(8x3) reduce by 3/3
(7x32)/(8) reduce by 8/8
7x4 = 28
