Two skiers are 30 kilometers apart and head towards each other. They meet in 2 hours. If the second skier is 5 kilometers per ho
1 answer:
Answer:
Speed of first skier = 5 km/h
Speed of second skier = 10 km/h
Step-by-step explanation:
Given:
Distance between skiers = 30 km
Time after which they meet = 2 hours
Second skier is 5 km/h faster than the first skier.
To find speed of each skier.
Solution:
Let the speed of first skier be in km/h =
<em>Distance covered in km 2 hours will be = </em>
Speed of second skier in km/h can be given as =
<em>Distance traveled by second skier after 2 hours will be = [Using distribution]</em>
Since, the skiers were 30 km apart initially, so the total distance covered by both of them when they meet after 2 hours will be = 30 km
Thus, we have:
Solving for
Subtracting both sides by 10.
Dividing both sides by 4.
Speed of first skier = 5 km/h
Speed of second skier = = 10 km/h
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Answer:
D: {(-5, -4, 2, 2, 5)}
R: {(-6, 3, 4, 1, 5)}
The relation is NOT a function.
Step-by-step explanation:
By definition:
A relation is any set of ordered pairs, which can be thought of as (input, output).
A function is a <em><u>relation</u></em> in which no two ordered pairs have the same first component (domain/input/x value) and different second components (range/output/y value).
Looking at the given points in your graph, and in listing down the domain and range, we can infer that the relation is not a function because there is an x-value (2) that has two corresponding y-values: (2, 4) (2, 1).
Another way to tell if a given set of points in a graph represents a function by doing the "Vertical line test." The graph of an equation represents y as a function of x if and only if no vertical line intersects the graph more than once. Looking at the attached image, I drew a vertical line over points (2, 4) (2, 1). The vertical line intersects the two points, which fails the vertical line test. This is an indication that the given relation is not a function.
