Answer:
20 ft by 60 ft
Step-by-step explanation:
"What should the dimensions of the garden be to maximize this area?"
If y is the length of the garden, parallel to the stream, and x is the width of the garden, then the amount of fencing is:
120 = 3x + y
And the area is:
A = xy
Use substitution:
A = x (120 − 3x)
A = -3x² + 120x
This is a downward facing parabola. The maximum is at the vertex, which we can find using x = -b/(2a).
x = -120 / (2 · -3)
x = 20
When x = 20, y = 60. So the garden should be 20 ft by 60 ft.
If your numbers are 4 1/2 and 2 1/2, then at the end of round 2 brian would have lost 7 points in total
Expression simplified: 
Step-by-step explanation:
The expression that we have in this problem is:

The first type of operation that we have to solve in such expression are multiplication/division.
In this expression, there is only one multiplication, that is:

So we can rewrite the expression as

Now we can evaluate the sum of the similar terms: in this case, similar terms are only 3 and 4, and their sum is

Therefore, the expression can be rewritten as

Learn more about simplifying expressions:
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Answer:
(a): 46 degrees
(b): 63 degrees
(c): 27 degrees
(d): 60 degrees
Step-by-step explanation:
4x=20-8y
x=5-2y now use this value of x in the second equation...
3(5-2y)+6y=15
15-6y+6y=15
15=15 This is true for any y or x value.
So there are infinitely many solutions as the two equations describe the same line.