Answer:

Step-by-step explanation:
The integer points which fall in the common region bounded by the lines are

Since, one of the points is
we round it to 
If we round up then the point will be
which does not fall in the bounded region.
Also
and
no negative values are considered.
Applying in the values in the LP problem 



So, the LP problem is maximum at point
.
Answer:
c(x + y) = a^2 + b^2
Step-by-step explanation:
All you have to do is cross multiply.
cx = a^2
cy = b^2
Add the equations.
cx + cy = a^2 + b^2
c(x + y) = a^2 + b^2
Answer:
7
Step-by-step explanation:
Look at the picture.
ΔABC and ΔBDC are <span>equilateral triangles.
Area of sector of a circle:

Area of the triangle ABC:

Area of the shaded portion:

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