A point M on a segment with endpoints (-1, 1) and ( 7, 7) partitions the segment in a 3:5 ratio. Find M. You must show all work
1 answer:
The coordinates of point M after the partition is (2, 3.25).
<h3>What are coordinates and how to determine coordinates?</h3>- A coordinate system in geometry is a system that uses one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
We have:
- Endpoints = (-1,1) and (7,7)
- Ratio, m : n = 3 : 5
The coordinates of point M is then calculated using:
So, we have:
Evaluate the sum and the product:
Evaluate the product:
The coordinates of point M is (2, 3.25)
Therefore, the coordinates of point M after the partition is (2, 3.25).
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Answer:
Option c) how a consumer might trade off different levels of consumption of each of two goods, while staying at the same utility level.
Explanation:
This is the very definition of an indifference curve. The points in an indifference curve are the combinations of the quantities (level of consumption) of two different goods which will produce the very same utility to the consumer. The consumer will perceive any of those combinations as having the same utility for him.
For example, a usual graph of various indifference curves will look like the graph attached.
In this graph the combination of 2 pairs of shoes and 15 pants will be perceived as having the same utility as the combination of 5 pairs of shoes and 4 pants. Both are combinations in the same indifference curve, the green one, and the utility of any combination lying in that green curve will be rated the same: u = 1.
