The vertices of the feasible region are as follows,
(-14, -11), (9, -11) and (6, 4)
What is a Feasible Region?
The area of the graph where all constraints are satisfied is the feasible solution zone or feasible region. It might also be thought of as the point where each constraint line's valid regions intersect. Any decision in this region would lead to a workable resolution for our objective function.
Vertices of the Feasible Region
As it can be seen in the graph, the vertices of the feasible region surrounded by the given constraints are:
(-14, -11), (9, -11) and (6, 4)
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Answer:
<u>US</u>
- 0 parallel lines
- optionally, one or two (opposite) angles may be 90°
<u>World</u>
- 2 parallel lines
- optionally, one line perpendicular to the two parallel lines
Step-by-step explanation:
It depends on where you are. A "trapezium" outside the US is the same as a "trapezoid" in the US, and vice versa.
A trapezium (World; trapezoid in the US) is characterized by exactly one pair of parallel lines. One of the lines that are not parallel may be perpendicular to the parallel lines, but that will only be true for the specific case of a "right" trapezium.
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A trapezium (US; trapezoid in the World) is characterized by no parallel lines. It <em>may</em> have one angle or opposite angles that are right angles (<em>one or two sets of perpendicular lines</em>), but neither diagonal may bisect the other.
In the US, "trapezium" is rarely used. The term "quadrilateral" is generally applied to a 4-sided figure with no sides parallel.
<span>A. 16 for every 100
B. 8 for every 50
C. 1 for every 6.25
D. 0.5 for every 3.125</span>
Answer:
Step-by-step explanation:
The given equations are:
-9.5x – 2.5y = –4.3 (1)
and 7x + 2.5y = 0.8 (2)
Adding equation (1) and (2) together, we get
-9.5x-2.5y+7x+2.5y=-4.3+0.8
⇒-2.5x=-3.5
⇒x=1.4
Now, substitute the value of x=1.4 in equation (1),
-9.5(1.4)-2.5y=-4.3
⇒-13.3-2.5y=-4.3
⇒-13.3+4.3=2.5y
⇒-9=2.5y
⇒y=-3.6
Thus, the value of x and y are 1.4 and -3.6 respectively.
#21 the answer is does √ 9^2 + 2^2
a^2 + b^2 = c^2
9^2 + 2^2 = c^2
√ 9^2 + 2^2 = √ c^2
