The length of the shorter wire is 12 cm
Step-by-step explanation:
Let us assume that the 27 cm wire is cut into two pieces of length x cm and so the longer part would be x+3 cm.
Now we know that the total length of the wire is 27cm so
x+(x+3) = 27
2x+3 = 27
2x = 27-3
2x = 24
x = 12 cm
In order to find the<u> roots</u> of the cubic equations by <u>graphing</u> you have to follow those steps
we have
![x^3+2x^2-16x-32](https://tex.z-dn.net/?f=x%5E3%2B2x%5E2-16x-32)
we know that
The <u>roots</u> of the function are the values of x when the value of the function is equal to zero
Using a <u>graphing </u>tool
see the attached figure
The<u> roots</u> are
![x=-4\ x=-2\ x=4](https://tex.z-dn.net/?f=x%3D-4%5C%20x%3D-2%5C%20x%3D4)
therefore
the answer is
![x=-4\ x=-2\ x=4](https://tex.z-dn.net/?f=x%3D-4%5C%20x%3D-2%5C%20x%3D4)
C is correct because both are overlapping lines
A-true because you would add 130 and 50 = 180 which is the measure of a supplementary angle