Answer:
<h2>A)x=3/2 y=½</h2>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- system of linear equation
- PEMDAS
<h3>let's solve:</h3>
- since y is equal to both equation therefore we can substitute the value of y into the other equation
![\sf substitute \: the \: value \: of \: y : \\ \sf - x + 2 = 3x - 4](https://tex.z-dn.net/?f=%20%5Csf%20substitute%20%5C%3A%20the%20%5C%3A%20value%20%5C%3A%20of%20%5C%3A%20y%20%3A%20%20%5C%5C%20%20%5Csf%20%20-%20x%20%2B%202%20%3D%203x%20-%204)
![\sf add \: x \: to \: both \: sides : \\ \sf - x + x + 2 = 3x + x - 4 \\ \sf 4x - 4 = 2](https://tex.z-dn.net/?f=%20%5Csf%20add%20%5C%3A%20x%20%5C%3A%20to%20%5C%3A%20both%20%5C%3A%20sides%20%3A%20%20%5C%5C%20%20%5Csf%20%20-%20x%20%2B%20x%20%2B%202%20%3D%203x%20%2B%20x%20-%204%20%5C%5C%20%20%5Csf%204x%20-%204%20%3D%202)
![\sf add \: 4 \: to \: both \: sides : \\ \sf xx - 4 + 4 = 2 + 4 \\ 4x = 6](https://tex.z-dn.net/?f=%20%5Csf%20add%20%5C%3A%204%20%5C%3A%20to%20%5C%3A%20both%20%5C%3A%20sides%20%3A%20%20%5C%5C%20%20%5Csf%20xx%20-%204%20%2B%204%20%3D%202%20%2B%204%20%5C%5C%204x%20%3D%206)
![\sf divide \: both \: sides \: by \: 4 : \\ \frac{4x}{4} = \frac{6}{4} \\ x = \frac{3}{2}](https://tex.z-dn.net/?f=%20%5Csf%20divide%20%5C%3A%20both%20%5C%3A%20sides%20%5C%3A%20by%20%5C%3A%204%20%3A%20%20%5C%5C%20%20%5Cfrac%7B4x%7D%7B4%7D%20%20%3D%20%20%5Cfrac%7B6%7D%7B4%7D%20%20%5C%5C%20x%20%3D%20%20%5Cfrac%7B3%7D%7B2%7D%20)
let's figure out y
- substitute the got value of x into the second equation: y=3*3/2 -4
- simplify multiplication:9/2 -4
- simplify division:4.5-4
- substract:0.5 alternate form:y=½
Answer: Option C.
Step-by-step explanation:
The volume of a sphere can be calculated with this formula:
![V=\frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
Where "r" is the radius.
You can observe in the figure that the value of the radius of this sphere is:
![r=4\ units](https://tex.z-dn.net/?f=r%3D4%5C%20units)
Then you can substitute this radius into the formula
.
Therefore, the volume of the sphere shown in the figure is:
![V=\frac{4}{3}\pi (4units)^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B4%7D%7B3%7D%5Cpi%20%284units%29%5E3)
![V=\frac{256}{3}\pi \ units^3](https://tex.z-dn.net/?f=V%3D%5Cfrac%7B256%7D%7B3%7D%5Cpi%20%5C%20units%5E3)
Answer:
I don't see any expressions shown below.
Step-by-step explanation:
Answer:The center-radius form of the circle equation is in the format (x – h)2 + (y – k)2 = r2, with the center being at the point (h, k) and the radius being "r". This form of the equation is helpful, since you can easily find the center and the radius. hoped it helped :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
-6 is to the left from origin and π/12 is in between 0 and π/6 above the x-axis. So the point (-6, π/12) is in the second quadrant.
<u>Other points represent coordinates of:</u>
- A=(6, π/12), C=(-6, -π/12), D=(6, -π/12)
This is point B and correct choice is option B.