Answer:
Step-by-step explanation:
Factored form: (x-2)(x-3) = 0
Standard form:
α and β are zeros of the polynomials.
here α = 2 & β = 3
Equation: x² - (α+β)x + αβ = 0
x² - (2+3)x + 2*3 = 0
x² - 5x + 6 = 0
Answer:
4
Step-by-step explanation:
2 + 2 = 4
In order to really understand this we need to break it down into simple terms.
Basically what we are doing here is adding two things together.
Put it like this, you have two fish, and you get another two fish, you now have four fish.
If you don't understand anything or need me to explain it better please don't hesitate to ask.
Given:
The height of the given trapezoid = 6 in
The area of the trapezoid = 72 in²
Also given, one base of the trapezoid is 6 inches longer than the other base
To find the lengths of the bases.
Formula
The area of the trapezoid is
![A=\frac{1}{2} (b_{1} +b_{2} )h](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%20%28b_%7B1%7D%20%2Bb_%7B2%7D%20%29h)
where, h be the height of the trapezoid
be the shorter base
be the longer base
As per the given problem,
![b_{2}=b_{1} +6](https://tex.z-dn.net/?f=b_%7B2%7D%3Db_%7B1%7D%20%20%2B6)
Now,
Putting, A=72,
and h=6 we get,
![\frac{1}{2} (b_{1} +b_{1}+6)(6) = 72](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%28b_%7B1%7D%20%2Bb_%7B1%7D%2B6%29%286%29%20%3D%2072)
or, ![b_{1}+b_{1}+6 = \frac{(72)(2)}{6}](https://tex.z-dn.net/?f=b_%7B1%7D%2Bb_%7B1%7D%2B6%20%3D%20%5Cfrac%7B%2872%29%282%29%7D%7B6%7D)
or, ![2b_{1}+6 = 24](https://tex.z-dn.net/?f=2b_%7B1%7D%2B6%20%3D%2024)
or, ![2b_{1}=24-6](https://tex.z-dn.net/?f=2b_%7B1%7D%3D24-6)
or, ![b_{1}= \frac{18}{2}](https://tex.z-dn.net/?f=b_%7B1%7D%3D%20%5Cfrac%7B18%7D%7B2%7D)
or, ![b_{1}=9](https://tex.z-dn.net/?f=b_%7B1%7D%3D9)
So,
The shorter base is 9 in and the other base is = (6+9) = 15 in
Hence,
One base is 9 inches for one of the bases and 15 inches for the other base.
Answer:
3rd one I believe
Step-by-step explanation: