It would be integer of 9.555
Answer:
81x^2 + 12x + 4
Step-by-step explanation:
This expression doesn't factor
Answer:
1/6
Explain:
The reciprocal of the slope is its perpendicular.
6/1 --> 1/6
Answer:
The perimeter of rectangle is ![18\ cm](https://tex.z-dn.net/?f=18%5C%20cm)
Step-by-step explanation:
Let
x------> the length of rectangle
y----> the width of rectangle
we know that
The area of the constructed figure is equal to
![A=xy+2x^{2} +2y^{2}\\A=120\ cm^{2}](https://tex.z-dn.net/?f=A%3Dxy%2B2x%5E%7B2%7D%20%2B2y%5E%7B2%7D%5C%5CA%3D120%5C%20cm%5E%7B2%7D)
so
-----> equation A
-----> equation B
substitute equation B in equation A
![120=y(y+5)+2(y+5)^{2} +2y^{2}\\120=y^{2}+5y+2(y^{2}+10y+25)+2y^{2}\\120=y^{2}+5y+2y^{2}+20y+50+2y^{2}\\5y^{2}+25y+50-120=0\\5y^{2}+25y-70=0](https://tex.z-dn.net/?f=120%3Dy%28y%2B5%29%2B2%28y%2B5%29%5E%7B2%7D%20%2B2y%5E%7B2%7D%5C%5C120%3Dy%5E%7B2%7D%2B5y%2B2%28y%5E%7B2%7D%2B10y%2B25%29%2B2y%5E%7B2%7D%5C%5C120%3Dy%5E%7B2%7D%2B5y%2B2y%5E%7B2%7D%2B20y%2B50%2B2y%5E%7B2%7D%5C%5C5y%5E%7B2%7D%2B25y%2B50-120%3D0%5C%5C5y%5E%7B2%7D%2B25y-70%3D0)
using a graphing calculator to resolve the quadratic equation
the solution is
![y=2\ cm](https://tex.z-dn.net/?f=y%3D2%5C%20cm)
Find the value of x
![x=2+5=7\ cm](https://tex.z-dn.net/?f=x%3D2%2B5%3D7%5C%20cm)
Find the perimeter of rectangle
The perimeter of rectangle is equal to
![P=2(x+y)\\P=2(7+2)=18\ cm](https://tex.z-dn.net/?f=P%3D2%28x%2By%29%5C%5CP%3D2%287%2B2%29%3D18%5C%20cm)
Answer:
A
Step-by-step explanation:
They are asking just to simplify
so we just divide. We can use a calculator but usually, people can memorize this.
![\frac{1}{3}=0.33...](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%3D0.33...)
It will be repeating.