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
Answer: A
Suppose that the last dollar that Victoria receives as income
brings her a marginal utility of 10 utils while the last dollar that
Fredrick receives as income brings him a marginal utility of
15 utils. If our goal is to maximize the combined total utility of
Victoria and Fredrick, we should
a. Redistribute income from Victoria to Frederick
b. Redistribute income from Fredrick to Victoria
c. Not engage in any redistribution because the current situation already maximizes total utility
d. None of the above
Step-by-step explanation:
Marginal utility is the added satisfaction derived from consuming an additional unit of a good or service. In the above question, Fredrick derives more satisfaction from his last dollar than Victoria, and will therefore achieve a higher marginal utility with additional income than Victoria does with her current income. If we want to maximize the combined utility, we should redistribute income from Victoria to Fredrick.
The logic behind this is the diminishing marginal utility. The first unit of a good consumed gives the highest level of satisfaction, marginal utility reduces with additional units consumed. In the same way, when we spend our income, we purchase the things that give us the maximum satisfaction first.
.
Answer: Choice C) -1/3
The given line has a slope of -1/3 so anything parallel to that given line is also going to have an equal slope (of -1/3)
To find the slope of that line shown, notice how we drop down 1 unit and the move to the right 3 units when we go from the left point to the right point. Alternatively, you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.
Answer:
3/1
Step-by-step explanation:
Answer:
15, because the sides are congruent except for the bottom ones
Step-by-step explanation: