1/3 ( 21m + 27 )
= 1/3 X 21m + 1/3 X 27
= 7m + 9 ..
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The second constraint is the same as the objective function, so your problem boils down to finding integer solutions to
.. 3x1 +5x2 = 36
There are 3 solutions. They are (x1, x2) = (12, 0), (7, 3), (2, 6)
The value of the objective function there is (obviously) 36.
Answer:

Step-by-step explanation:
(-2,1)=(x1,y1)
(4,5)=(x2,y2)
d=?
d=
The first one is 4
Second is 5/9
Third is 1/2
Fourth is 11
Step-by-step explanation:
The ladder forms a triangle with the wall and ground.
The side of the triangle opposite of the 60° angle is 4 feet.
To find the length of the ladder (the hypotenuse), use sine.
sine = opposite / hypotenuse
sin 60° = 4 / L
L = 4 / sin 60°
L = 4 / (√3 / 2)
L = 8 / √3
L = 8√3 / 3
L ≈ 4.619 feet
To find the distance from the wall, use tangent.
tangent = opposite / adjacent
tan 60° = 4 / x
x = 4 / tan 60°
x = 4 / √3
x = 4√3 / 3
x ≈ 2.309 feet