Answer:
4.5%
Step-by-step explanation:
Answer:
Step-by-step explanation:
No you are correct. That's the correct end result. Technically you should start with
Area = s^2
Area = 64 ft^2
s^2 = 64
sqrt(s^2) = sqrt(64)
s = 8
s = - 8 has no meaning.
Your way is fine.
Answer:
Attached please find response.
Step-by-step explanation:
We wish to find the area between the curves 2x+y2=8 and y=x.
Substituting y for x in the equation 2x+y2=8 yields
2y+y2y2+2y−8(y+4)(y−2)=8=0=0
so the line y=x intersects the parabola 2x+y2=8 at the points (−4,−4) and (2,2). Solving the equation 2x+y2=8 for x yields
x=4−12y2
From sketching the graphs of the parabola and the line, we see that the x-values on the parabola are at least those on the line when −4≤y≤2.
Answer:
![x(x+1)^2](https://tex.z-dn.net/?f=x%28x%2B1%29%5E2)
Step-by-step explanation:
Given:
The expression to factor is given as:
![x^3+2x^2+x](https://tex.z-dn.net/?f=x%5E3%2B2x%5E2%2Bx)
In order to factor it, we write the factors of each of the terms of the given polynomial. So,
The factors of the three terms are:
![x^3=x\times x\times x\\\\2x^2=2\times x\times x\\\\x=x](https://tex.z-dn.net/?f=x%5E3%3Dx%5Ctimes%20x%5Ctimes%20x%5C%5C%5C%5C2x%5E2%3D2%5Ctimes%20x%5Ctimes%20x%5C%5C%5C%5Cx%3Dx)
Now, 'x' is a common factor for all the three terms. So, we factor it out. This gives,
![x(\frac{x^3}{x}+2\frac{x^2}{x}+\frac{x}{x})\\\\x(x^2+2x+1)](https://tex.z-dn.net/?f=x%28%5Cfrac%7Bx%5E3%7D%7Bx%7D%2B2%5Cfrac%7Bx%5E2%7D%7Bx%7D%2B%5Cfrac%7Bx%7D%7Bx%7D%29%5C%5C%5C%5Cx%28x%5E2%2B2x%2B1%29)
Now, we know a identity which is given as:
![(a+b)^2=a^2+2ab+b^2](https://tex.z-dn.net/?f=%28a%2Bb%29%5E2%3Da%5E2%2B2ab%2Bb%5E2)
Here,
can be rewritten as ![x^2+2(1)(x)+1^2](https://tex.z-dn.net/?f=x%5E2%2B2%281%29%28x%29%2B1%5E2)
So, ![a=x\ and\ b=1](https://tex.z-dn.net/?f=a%3Dx%5C%20and%5C%20b%3D1)
Thus, ![x^2+2(1)(x)+1^2= (x+1)^2](https://tex.z-dn.net/?f=x%5E2%2B2%281%29%28x%29%2B1%5E2%3D%20%28x%2B1%29%5E2)
Therefore, the complete factorization of the given expression is:
![x^3+2x^2+x=x(x+1)^2](https://tex.z-dn.net/?f=x%5E3%2B2x%5E2%2Bx%3Dx%28x%2B1%29%5E2)
Answer:
29.87
Step-by-step explanation: