Answer: I haven't been in Geometry in a while but watch this video. It should help you.
Step-by-step explanation:
The answer is, B 1cm=9.5 km
To solve this all you have to do is divide 47.5km by 5cm in order to get the answer of 1cm=9.5km.
Answer:
Option B 3,-3,-6 is correct.
Step-by-step explanation:
We need to find real zeroes of ![x^3+6x^2-9x-54](https://tex.z-dn.net/?f=x%5E3%2B6x%5E2-9x-54)
Solving
![x^3+6x^2-9x-54\\=(x^3+6x^2)+(-9x-54)](https://tex.z-dn.net/?f=x%5E3%2B6x%5E2-9x-54%5C%5C%3D%28x%5E3%2B6x%5E2%29%2B%28-9x-54%29)
Taking x^2 common from first 2 terms and -9 from last two terms we get
![=(x^3+6x^2)+(-9x-54)\\=x^2(x+6)-9(x+6)\\](https://tex.z-dn.net/?f=%3D%28x%5E3%2B6x%5E2%29%2B%28-9x-54%29%5C%5C%3Dx%5E2%28x%2B6%29-9%28x%2B6%29%5C%5C)
Taking (x+6) common
![(x+6)(x^2-9)\\](https://tex.z-dn.net/?f=%28x%2B6%29%28x%5E2-9%29%5C%5C)
x^2-9 can be solved using formula a^2-b^2 = (a+b)(a-b)
![=(x+6)((x)^2-(3)^2)\\=(x+6)(x+3)(x-3)](https://tex.z-dn.net/?f=%3D%28x%2B6%29%28%28x%29%5E2-%283%29%5E2%29%5C%5C%3D%28x%2B6%29%28x%2B3%29%28x-3%29)
Putting it equal to zero,
![(x+6)(x+3)(x-3) =0\\x+6 =0, x+3=0\,\, and\,\, x-3=0\\x=-6, x=-3\,\, and\,\, x=3](https://tex.z-dn.net/?f=%28x%2B6%29%28x%2B3%29%28x-3%29%20%3D0%5C%5Cx%2B6%20%3D0%2C%20x%2B3%3D0%5C%2C%5C%2C%20and%5C%2C%5C%2C%20x-3%3D0%5C%5Cx%3D-6%2C%20x%3D-3%5C%2C%5C%2C%20and%5C%2C%5C%2C%20%20x%3D3)
So, Option B 3,-3,-6 is correct.
Step-by-step explanation:
divide them by using long polynomial division.
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