Which ordered pairs are in the solution set of system of linear inequalities?
1 answer:
Answer:
Option (3)
Step-by-step explanation:
There are two inequalities graphed in the figure attached.
1). Solid line having shaded above the solid line (passing through origin) will be represented by the equation,
2). Another dotted line having shaded area below the line will be represented by the inequality,
Common shaded area of these inequalities will be the solution area.
All the ordered pairs lying in this area will be the answer.
In the given options,
Ordered pairs given in Option (3) lie in the common shaded area.
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ANSWER
EXPLANATION
We were given that
varies directly as
We can write this mathematically as,
This implies that,
where k is the constant of variation.
This implies that,
The equation becomes
When
EXPLANATION
We were given that
varies directly as
We can write this mathematically as,
This implies that,
where k is the constant of variation.
This implies that,
The equation becomes
When
We have to use the rule of cosx° to solve this problem. Attached is a diagram of the navigator's course for the plane. It is similar to the shape of a triangle. We know the plane is 300 miles from its destination, so that will be one of the sides. On the current course, it is 325 miles from its destination, so that will be another one of the sides. The last side is 125 because that is the distance between the destination and the anticipated arrival. Cosx° is what we are looking for.
To find how many degrees off course the plane is, we must use the rules of Cosx°, which is shown in the attached image.
The plane is approximately 23° off course.
To find how many degrees off course the plane is, we must use the rules of Cosx°, which is shown in the attached image.
The plane is approximately 23° off course.