A. $0.08 per ounce
Price divided by ounces gives you the unit price.
$9.60/120 ounces = $0.08/ounce
Answer:
I'm pretty sure it would be base x height divided by 2 so 20×6÷2
Answer:
Part 1)
The equation by factorization is
![x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B12x-230%3D%28x-%28-6%2B%5Csqrt%7B266%7D%29%29%28x-%28-6-%5Csqrt%7B266%7D%29%29)
Both values of x are
![x1=-6+\sqrt{266}](https://tex.z-dn.net/?f=x1%3D-6%2B%5Csqrt%7B266%7D)
![x2=-6-\sqrt{266}](https://tex.z-dn.net/?f=x2%3D-6-%5Csqrt%7B266%7D)
Part 2) The dimensions of the cuboid are
,
and ![(5+\sqrt{266})\ cm](https://tex.z-dn.net/?f=%285%2B%5Csqrt%7B266%7D%29%5C%20cm)
Step-by-step explanation:
step 1
we know that
The volume of the cuboid is equal to
![V=LWH](https://tex.z-dn.net/?f=V%3DLWH)
substitute the given values
![V=4(x+1)(x+11)](https://tex.z-dn.net/?f=V%3D4%28x%2B1%29%28x%2B11%29)
![V=924\ cm^{3}](https://tex.z-dn.net/?f=V%3D924%5C%20cm%5E%7B3%7D)
so
![4(x+1)(x+11)=924\\4(x^{2}+11x+x+11)=924\\ 4(x^{2}+12x+11)=924\\x^{2}+12x+11=231\\x^{2}+12x-230=0](https://tex.z-dn.net/?f=4%28x%2B1%29%28x%2B11%29%3D924%5C%5C4%28x%5E%7B2%7D%2B11x%2Bx%2B11%29%3D924%5C%5C%204%28x%5E%7B2%7D%2B12x%2B11%29%3D924%5C%5Cx%5E%7B2%7D%2B12x%2B11%3D231%5C%5Cx%5E%7B2%7D%2B12x-230%3D0)
Complete the square
![x^{2}+12x-230=0](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B12x-230%3D0)
![x^{2}+12x=230](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B12x%3D230)
![x^{2}+12x+36=230+36](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B12x%2B36%3D230%2B36)
![(x+6)^{2}=266](https://tex.z-dn.net/?f=%28x%2B6%29%5E%7B2%7D%3D266)
square root both sides
![x+6=(+/-)\sqrt{266}](https://tex.z-dn.net/?f=x%2B6%3D%28%2B%2F-%29%5Csqrt%7B266%7D)
![x=-6(+/-)\sqrt{266}](https://tex.z-dn.net/?f=x%3D-6%28%2B%2F-%29%5Csqrt%7B266%7D)
so
![x1=-6+\sqrt{266}](https://tex.z-dn.net/?f=x1%3D-6%2B%5Csqrt%7B266%7D)
![x2=-6-\sqrt{266}](https://tex.z-dn.net/?f=x2%3D-6-%5Csqrt%7B266%7D)
therefore
The equation by factorization is
![x^{2}+12x-230=(x-(-6+\sqrt{266}))(x-(-6-\sqrt{266}))](https://tex.z-dn.net/?f=x%5E%7B2%7D%2B12x-230%3D%28x-%28-6%2B%5Csqrt%7B266%7D%29%29%28x-%28-6-%5Csqrt%7B266%7D%29%29)
step 2
Find the dimensions of the cuboid
The dimensions are
![4\ cm](https://tex.z-dn.net/?f=4%5C%20cm)
![(x+1)\ cm -----> (-6+\sqrt{266}+1)=(-5+\sqrt{266})\ cm](https://tex.z-dn.net/?f=%28x%2B1%29%5C%20cm%20-----%3E%20%28-6%2B%5Csqrt%7B266%7D%2B1%29%3D%28-5%2B%5Csqrt%7B266%7D%29%5C%20cm)
![(x+11)\ cm ----> (-6+\sqrt{266}+11)=(5+\sqrt{266})\ cm](https://tex.z-dn.net/?f=%28x%2B11%29%5C%20cm%20----%3E%20%28-6%2B%5Csqrt%7B266%7D%2B11%29%3D%285%2B%5Csqrt%7B266%7D%29%5C%20cm)
Answer:
The equation 4x-7x=9 simplifies into x=-3, which is a horizontal line. A perpendicular line would be vertical, and the equation for vertical lines is y=b, b being a constant. In this case on the point (4,3), y is 3, so the equation of the line is y=3.
Your answer would turn out to be Shelby goes out her front door turns West and walks past the other three houses.