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Agata [3.3K]
3 years ago
6

Solve the system of equations 3x – 3y = 30 and 2x + y = 11 by combining the equations.

Mathematics
1 answer:
Andreas93 [3]3 years ago
6 0
Times bottom equation by 3 and top by 2 to get the same coefficient of x
6x-6y=60
6x+3y=33
Minus the bottom by the top
-9y=27
y=-3
substitute this in to one of the equations
2x -3 = 11
add 3 to both sides
2x=14
x=7
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A fence must be built to enclose a rectangular area of ft. Fencing material costs per foot for the two sides facing north and so
avanturin [10]

The complete question is

A fence must be built to enclose a rectangular area of 5000ft^2. Fencing material costs $1 per foot for the two sides facing north and south and 2$ per foot for the other two sides. Find the cost of the least expensive fence.

Answer:

Total cost will be $400

Step-by-step explanation:

Let x = be other side

     y =  north and  south side  

Area = x*y = 5000

Perimeter of the rectangle  = 2x + 2y

cost of fencing = 2(1)*5000/x + 2*2x

                         = 10000/x + 4x

 now to get the least we will take the derivative of this

C'(x) = 10000(-1/x^2)  + 4 =0

        x^2 = 2500

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             y= 100ft  cost = 2*$1*100 = $200

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3 0
3 years ago
PLEASE ANSWER FAST I WILL GIVE BRAINLIEST
ANTONII [103]

Answer: 10 units²

Step-by-step explanation:

We can divide the shape along the y-axis to get 2 separate triangles. If we find the area of each and add them up, we can get the total area of the figure.

We can get each triangle's area using the formula A = \frac{1}{2}bh

<h3>Left Triangle</h3>

base length - 4 units

height - 4 units

A = \frac{1}{2}(4)(4)

A=\frac{1}{2}(16)

A =8\hspace{0.1cm}units^2

<h3>Right Triangle</h3>

base length - 2 units

height - 2 units

A = \frac{1}{2}(2)(2)

A=\frac{1}{2}(4)

A=2\hspace{0.1cm}units^2

Total = 8 units² + 2 units² = 10 units²

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2 years ago
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