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ddd [48]
3 years ago
7

The constraints of a problem are listed below. What are the vertices of the feasible region?​

Mathematics
2 answers:
Mamont248 [21]3 years ago
8 0

Answer:

Option 4 : (0.\frac{3}{2} ) \ , \ (0,2) \ , \ (6,0) \ , \ (\frac{9}{4} ,0)

Step-by-step explanation:

<u>See the attached figure:</u>

To find the vertices of the feasible region, we need to graph the constraints, then find the area included by them, then calculate the vertices which is the intersection between each two of them.

As shown, the shaded area represents the solution of the constraints

So, the vertices of the feasible region are:

(0.\frac{3}{2} ) \ , \ (0,2) \ , \ (6,0) \ , \ (\frac{9}{4} ,0)

Inessa05 [86]3 years ago
5 0

Answer:

d

Step-by-step explanation:

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What is the slope of the line that passes through the points (−8,−1) and (−6,−2)? Write your answer in simplest form.
4vir4ik [10]

Answer:

m = -1/2

Step-by-step explanation:

Recall that slope = (change in y) / (change in x).

Going from  (−8,−1) to (−6,−2), x increases by 2 (because -6 - (-8) = 2), and

y decreases by 1.  Thus, the slope here is

m = (change in y) / (change in x) = (-1) / 2 = -1 / 2

m = -1/2

6 0
3 years ago
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3 years ago
Given ΔABC with A(–4, –2), B(4, 4), and C(18, –8), write the equation for the line containing median segment The term is line se
Monica [59]
Here we want to find the equation of the line containing the median CP.

P, being the midpoint of AB can be found using the midpoint formula as:

\displaystyle{ P=( \frac{-4+4}{2} ,  \frac{-2+4}{2} )=(0, 1).


The slope m of the line through CP can be found by the slope formula using points C(18, -8) and P(0, 1):

\displaystyle{ m= \frac{y_2-y_1}{x_2-x_1}= \frac{-8-1}{18-0}= \frac{-9}{18}= \frac{-1}{2}.


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y-1= \frac{-1}{2}(x-0)\\\\y= -\frac{1}{2}x+1.


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4 years ago
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solniwko [45]
<h3>Answer:  $7.99</h3>

Explanation:

Pick any point listed and divide the y coordinate over the x coordinate.

The simplest choice is the point where x = 1

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3 years ago
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