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.
The scale factor of the given dilation is 3.
Step-by-step explanation:
Step 1:
In order to determine the scale factor, we divide the measurement after scaling by the same measurement before scaling.
In the given graph, the preimage has a length of 3 units while the image has a length of 9 units.
Step 2:
So here the measurement after scaling is the length of the image which is 9 units and the measurement before scaling is the preimages length of 3 units.
The scale factor 
So the scale factor is the third option 3.
5*30 = 150
9*30 = 270
Since the ratio is 5:9 you have to multiply both numbers in the ratio by the same constant.
I just started multiplying by 10, then 20, then 30 until I got numbers that had a difference of 120.
There are 150 boys.
Setting up an equation
5x + 120 = 9x
Solve for x and then multiply the ratio by the x to get the same result.
Answer:
1 11/80
Step-by-step explanation:
1/5 + (3/4 × 1 1/4)
1/5 + (3/4 × 5/4)
1/5 + (15/16)
16/80 + 75/80
91/80
1 11/80
