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Alex Ar [27]
3 years ago
9

the quadrilateral ABCD on a coordinate plane has the following characteristics. AD can be represented by the equation y=-3x wher

e -1 < x < 0. BC can be represented by the equation y=-3x+11 where 2 < x < 3. Cd has the coordinates C(2,5) and D(-1,3). in order for ABCD to be a parallelogram, which of the following coordinates correspond to AB.
Mathematics
1 answer:
vovangra [49]3 years ago
5 0
The coordinates of point A will be (0, 0) and the coordinates of B will be (3, 2).

To find these coordinates you have to graph the points and line segments. You will see that the 2 line segments start at points C and D and move down to the right. The endpoints of these segments will form your parallelogram.
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In Andrew’s Furniture Shop, he builds bookshelves and tables. Each type of furniture takes him about the same time to make. He f
Paul [167]
A. You may set the variables in either order. But for argument sake, let's set as follows:

x = Amount of bookshelves
y = Amount of tables

B. Because of the amount of things you need to make, the following is an inequality using those variables.

x + y > 25

Plus you can determine a second inequality based on the amount of money that you have to spend. 

20x + 45y < 675

Finally you may also add in that each value must be greater than or equal to zero, since they cannot have negative tables. 

C. By solving the system and looking at basic constraints when graphed, you can see the feasible region has 4 vertices. 

(0,0)
(18, 7)
(0, 15)
(33.75, 0) or (33, 0) if you insist on rounding. 
8 0
2 years ago
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hoa [83]

Answer:

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Step-by-step explanation:

5 0
2 years ago
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Matt has two very active dogs...
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6 0
3 years ago
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If z varies inversely as x^2, and z = 9 when x = 2/3, find z when x = 5/4
zimovet [89]

Answer:

Step-by-step explanation:

z varies inversely

so z=a/x^2

9=a/(2/3)^2

9=a/(4/9)

9=9a/4

a=4

z=4/x^2

z=4/(5/4)^2

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6 0
2 years ago
Kelli and Karl each have a job. Kelli earns $20 an hour. She also receives a $100 weekly bonus.
Firlakuza [10]
Answer:   When they work 10 hours each, they both make $300.

kelli    y = 20x + 100
karl    y = 25x + 50

substitution:

y = 20x + 100

25x + 50 = 20x + 100
-20x  -50    -20x   -50
--------------------------------
5x = <span>50 
</span>5       5

x = 10

(Then plug into any equation)
y = 25x + 50
y = 25(10)  + 50
y = 300

When they work 10 hours each, they both make $300.


5 0
3 years ago
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