The largest area that can be enclosed will be that of a square (140 ft)/4 = 35 ft on a side. Such a square has an area of (35 ft)² = 1225 ft², not enough for the garden to be 1300 ft². This tells us the solution to the equation you're being asked to write is non-real.
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Putting the given numbers in the area equation, you have
... 1300 = 70w -w²
Multiplying by -1 and completing the square, we have
... w² -70w +35² = -1300 +35²
... (w -35)² = 1225 -1300 = -75
Taking the square root shows us the solution is non-real.
... w - 35 = ±√(-75) = ±5i√3
... w = 35 ± 5i√3 . . . . . . . . . after adding 35. These are complex solutions.
Answer:

Step-by-step explanation:
You have to use the summation notation formula:

where k is the starting number, n is the ending number and f(k) is the function or the expression to be added.
In this case, you have the sum of the integer numbers from 1 to 1000. Therefore, k=1 and n=1000.
Now, you have to obtain the function f(k) which is the representation of the expression needed to obtain the correct result of the sum.
f(k=1) = 1
f(k=2)=2
f(k=3)=3 ...
You can notice that the value of k corresponds to te value of f(k) therefore f(k) = k
Replacing the values of k, n and f(k) in the formula:

Answer:
7)
Step-by-step explanation:
The pattern is: add two more than you did before: starting from 2.
It would be:
1, 3, 7, 13, 21, 31, 43, 57
+2 +4 +6 +8 +10 +12 +14
Now use this to answer the questions.
Hope this helped!
Have a nice day!
(it would be nice if you gave me brainliest)
Thx :)
We are told that l is the length of the rectangle. We are told that the widht is 4 less than half the lenght. So, first, we calculate the half of l, which would be

the part that says "4 less than" means that we should subtract 4 from the half of length. So we get

now, this expression should be equal to the width , that we'll note as w. So we end up with the equation
Answer: 6.50x + 3.50 < 23
Step-by-step explanation:
I believe this is correct because the total of the one-time fee and the money per game she played, should be less than $23