The width becomes 21 centimeters hope this helps:)
D.
-5(-1) + 2(2) = 5 + 4 = 9
-3 + 10 = 7
Answer:
![f(x)=x^3+x^2-4x-4](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3%2Bx%5E2-4x-4)
Step-by-step explanation:
From the graph, the x-intercepts are;
![x=-2](https://tex.z-dn.net/?f=x%3D-2)
![x=-1](https://tex.z-dn.net/?f=x%3D-1)
![x=2](https://tex.z-dn.net/?f=x%3D2)
These are root of the polynomial function represented by the given graph.
By the remainder theorem;
![f(-2)=0,f(-1)=0,f(2)=0](https://tex.z-dn.net/?f=f%28-2%29%3D0%2Cf%28-1%29%3D0%2Cf%282%29%3D0)
According to the factor theorem, if
is a factor of
, then ![f(a)=0](https://tex.z-dn.net/?f=f%28a%29%3D0)
This implies that;
are factors of the required function.
Hence; ![f(x)=(x+1)(x-2)(x+2)](https://tex.z-dn.net/?f=f%28x%29%3D%28x%2B1%29%28x-2%29%28x%2B2%29)
We expand using difference of two squares to obtain;
![f(x)=(x+1)(x^2-4)](https://tex.z-dn.net/?f=f%28x%29%3D%28x%2B1%29%28x%5E2-4%29)
We expand using the distributive property to get;
![f(x)=x^3-4x+x^2-4](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3-4x%2Bx%5E2-4)
Rewrite in standard form to obtain;
![f(x)=x^3+x^2-4x-4](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E3%2Bx%5E2-4x-4)
the greatest common factor of 32 and 90 is 2
Answer:
180
Step-by-step explanation:
The 12 th square number is
12² = 12 × 12 = 144
The 6 th square number is
6² = 6 × 6 = 36
Thus
sum = 144 + 36 = 180