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vlabodo [156]
3 years ago
15

Find the greatest possible value for a+b+c+d if b is a positive integer and a,b,c,d satisfy the system of equations

Mathematics
2 answers:
laiz [17]3 years ago
5 0
Answer is a+b+c+d= -5.b
snow_lady [41]3 years ago
4 0

Answer:

a+b+c+d = -5\cdot b

Step-by-step explanation:

The given system of equations is now reduced:

1) a+b = c, b+c = d, c+d=a, b > 0 Given

2) a = c+d By 1)

3) (c+d)+b=c 2) in 1)

4) d = b + c By 1)

5) [c+(b+c)]+b = c 4) in 3)

6) 2\cdot b + 2\cdot c = c Algebra

7) c = -2\cdot b Algebra

8) d = -b 7) in 4)/Algebra

9) a = -3\cdot b 7) and 8) in 2)/Algebra

10) a+b+c+d = -5\cdot b 9), 1), 7) and 8)/Algebra/Result

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Find the area of the region between a regular hexagon with sides of 6" and its inscribed circle.
kirza4 [7]

Answer:

Area of the region = 15.03 in²

Step-by-step explanation:

Area of region between a regular hexagon with sides 6" and circle inscribed.

So Area of region = Area of regular hexagon - area of circle

Now area of regular hexagon = \frac{3a^{2} \sqrt{3}}{2}

where a = side of the hexagon = 6"

Now area of regular hexagon = \frac{3(6^{2})\sqrt{3}}{2}=\frac{108\sqrt{3}}{2} = 93.53 square in.

Area of circle inscribed = πr²

Here r is the radius of the circle = \sqrt{6^{2}-3^{2}}=\sqrt{36-9}

r = 5"

So area of the inscribed circle = π(5)² = 3.14(25) = 78.5 square in.

Now area of region = 93.53 - 78.5 = 15.03 in²

5 0
3 years ago
Which rule applies to the translation of the RED trapezoid to the BLUE trapezoid? A) (x, y) → (x + 2, y − 3) B) (x, y) → (x + 4,
kicyunya [14]

Answer: The answer really depends on the graph for this question. Then, you just add or subtract accordingly from the x and y values until you find your answer. :)

7 0
3 years ago
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HELP ME PLZ !!! IT'S ALGEBRA
Drupady [299]

Answer:

x = - 8/23

y = 40/23

Step-by-step explanation:

-5x- y = 0

and

-8x+3y = 8

The first step to solve this would be to get what one of the two variables equal. The easiest in this case is y from the first equation.

-5x-y = 0

-y = 5x

y = - 5x

Now you can take this y value and plug it into the section equation.

-8x + 3(-5x) = 8

-8x - 15x = 8

-23x = 8

x = - (8/23)

Once you get the x value you can plug it back into equation one to get y's value

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3 0
2 years ago
...................Simplify 43.45
Evgesh-ka [11]

Answer:

9.31st 91 35 5789 400th

Step-by-step explanation:

43.45+567=

9.3

8 0
3 years ago
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vlada-n [284]

Answer:

-51

Step-by-step explanation:

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3 years ago
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