Answer:
D.) an = 4 * an-1
Step-by-step explanation:
a(n) = (1/3) * 4^(n-1)
a(n-1) = (1/3) * 4^(n-1-1) = (1/3) * 4^(n-2)
Thus,
a(n) = (1/3) * 4 * 4^(n-2) = 4 * [(1/3) * 4^(n-2)] = 4 * a(n-1), so that
a(n) = 4 * a(n-1).
The answer is 1/4 or 0.25
I believe the equation shown above is an example of:
B. Associative Property of Addition.
Hope I helped!!
Answer: The range is [3, infinity).
Step-by-step explanation: The "[" means that it is apart of the graph. The ")" means it is not apart of the graph.
The graph's range (which is it's highest lowest to highest y-value), the lowest is 3 on the y axis, and then stems on to infinity. The reason why infinity is not apart of the graph is because it has no end and infinity is not a number.
Answer:
Perimeter will be = 21.6
Step-by-step explanation:
As we know the formula to get the length between two points A and B having coordinates A(x,y) and B (a,b) is
AB = √(x-a)²+(y-b)²
We will use this formula to get the lengths of all sides of the quadrilateral.
AB=√(4+3)²+(2-2)² =√7² =7
BC = √(3-4)²+(-3-2)²=√(-1)²+(-5)² = √1+25=√26 = 5.1
CD = √(3+3)²+(-3-3)² = √6²+(-6)² = √72 = 8.5
DA = √(-3+3)²+(3-2)² =√1 = 1
Since perimeter of the quadrilateral = sum of lengths of all sides
Perimeter = 7 + 5.1 + 8.5 + 1 = 21.6
