Answer:
i think its 4
Step-by-step explanation:
i think its 4 because 8+8 is 16 and if you add 4 and another 4 to that you get 24
The point of intersection is the point where two or more functions meet.
The graphs of the hyperbola and ellipse have 0 point of intersection
The given parameters are:
![\mathbf{3x^2 - 4y^2 + 4x - 8y + 4 = 0}](https://tex.z-dn.net/?f=%5Cmathbf%7B3x%5E2%20-%204y%5E2%20%2B%204x%20-%208y%20%2B%204%20%3D%200%7D)
![\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 0}](https://tex.z-dn.net/?f=%5Cmathbf%7B3x%5E2%20%2B%20y%5E2%20%2B%204x%20-%203y%20%2B%204%20%3D%200%7D)
To determine the points of intersection, we simply equate both equations.
So, we have:
![\mathbf{3x^2 + y^2 + 4x - 3y + 4 = 3x^2 - 4y^2 + 4x - 8y + 4 }](https://tex.z-dn.net/?f=%5Cmathbf%7B3x%5E2%20%2B%20y%5E2%20%2B%204x%20-%203y%20%2B%204%20%3D%203x%5E2%20-%204y%5E2%20%2B%204x%20-%208y%20%2B%204%20%7D)
Cancel out the common terms
![\mathbf{y^2 - 3y = - 4y^2 - 8y }](https://tex.z-dn.net/?f=%5Cmathbf%7By%5E2%20-%203y%20%3D%20-%204y%5E2%20-%208y%20%20%7D)
Collect like terms
![\mathbf{y^2 +4y^2= 3y - 8y }](https://tex.z-dn.net/?f=%5Cmathbf%7By%5E2%20%2B4y%5E2%3D%203y%20%20%20-%208y%20%20%7D)
![\mathbf{5y^2= - 5y }](https://tex.z-dn.net/?f=%5Cmathbf%7B5y%5E2%3D%20-%205y%20%20%7D)
Divide through by 5
![\mathbf{y^2= - y}](https://tex.z-dn.net/?f=%5Cmathbf%7By%5E2%3D%20-%20y%7D)
Divide through by y
![\mathbf{y= -1}](https://tex.z-dn.net/?f=%5Cmathbf%7By%3D%20-1%7D)
<em>The system of equation does not give room to calculate the x-coordinate at the x-axis.</em>
<em />
Hence, the graphs of the hyperbola and ellipse have <em>0 point of intersection</em>
Read more about points of intersection at:
brainly.com/question/13373561
Answer:
33.5 cubic inches.
Step-by-step explanation:
If the softball fits perfectly inside the cubical box, the softball is a sphere with diameter of 4 inches (radius os 2 inches).
The volume of a sphere is given by:
![V= \frac{4}{3}\pi r^3](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B4%7D%7B3%7D%5Cpi%20r%5E3)
For r = 2 inches:
![V= \frac{4}{3}*3.14* 2^3\\V=33.5\ in^3](https://tex.z-dn.net/?f=V%3D%20%5Cfrac%7B4%7D%7B3%7D%2A3.14%2A%202%5E3%5C%5CV%3D33.5%5C%20in%5E3)
The volume of the softball is 33.5 cubic inches.
Answer:
84 is the largest number that will round to 80.
plz mark brainliest✌️✌️