<span>5.497211734394065. radius confirmed!</span>
Because the polynomial has degree 2, we can assume that there are 2 solutions (roots), whether real or imaginary.
You can subtract 60 in order to put this in standard form
48x^2+44x-60 = 0
From there, just put a,b, and c into the quadratic formula and you're good to solve for your answers.
(-b+-sqrt(b^2-4ac))/2a
(-44+-sqrt(44^2-4(48)(-60)))/2(48)
Then solve.
There is probably a better way, but this should give you the two roots/solutions.
Answer: 80 feet.
Step-by-step explanation:
1. As you can see in the figure, triangle ABC and the triangle DFG are similar.
2. The scale of factor of triangle ABC to triangle DFG is the following:
![sf=\frac{20ft}{4ft}\\sf=5ft](https://tex.z-dn.net/?f=sf%3D%5Cfrac%7B20ft%7D%7B4ft%7D%5C%5Csf%3D5ft)
3. Therefore, the lenght of the side DG of the trinagle DFG is:
![DG=5*AC\\DG=5*7ft\\DG=35ft](https://tex.z-dn.net/?f=DG%3D5%2AAC%5C%5CDG%3D5%2A7ft%5C%5CDG%3D35ft)
4. The perimeter of the triangle DFG is:
![P_{DFG}=20ft+25ft+35ft=80ft](https://tex.z-dn.net/?f=P_%7BDFG%7D%3D20ft%2B25ft%2B35ft%3D80ft)
5. Therefore, she would need 80 feet of fence.
F(y) = y + y^2 - 3
f(-2) = -2 + (-2^2) - 3
f(-2) = -2 + 4 - 3
f(-2) = -1
f(-4) = -4 + (-4^2) - 3
f(-4) = -4 + 16 - 3
f(-4) = 9
f(0) = 0 + 0^2 - 3
f(0) = -3
f(2) = 2 + 2^2 - 3
f(2) = 2 + 4 - 3
f(2) = 3
f(4) = 4 + 4^2 - 3
f(4) = 4 + 16 - 3
f(4) = 17