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Which graph represents the solution to the system of inequalities?
2 answers:
Solution:
we are given with the system of equation:
x + y ≥ 4
2x + 3y < 12
we have been asked to find the graph representing the solution of the given system of equation.
To find the the solution of the given system of inequalities, we can draw the graph using a graphing calculator and thereafter , the point of intersection will give the solution of the given system of equation.
As we can see, the graph is intersecting at only one point at (0,4).
The given system of inequalities will have infinite number of solutions and it will fall in the region shaded with green.
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Answer:
2330.51 miles
Step-by-step explanation:
Given that the speed of the airplane = 610 mph.
The airplane leaves an airport at 9:00 P.M. with a heading of 270 degrees and at 10:00 P.M., the pilot changes the heading to 310 degrees.
So, for 1 hour the plane is heading at 270 degrees and for 3 hours, from 10:00 p.m to 1:00 a.m, the plane is heading at 310 degrees as shown in the figure.
As, distance = time x speed, so
The distance covered at 270 degrees, miles.
The distance covered at 310 degrees, miles.
Total distance covered, d, is the magnitude of the sum of vectors and
as shown in the figure.
The angle between the vectors and
,
degree.
Magnitude of sum of the vectors \vec{d_1} and \vec{d_2},
miles
Hence, at 1:00 a.m, the airplane is at a distance of 2330.51 miles from the airport.
