We have the following equation:

If we graph this equation we realize that in fact this is an ellipse with
major axis matching the y-axis. So we can recognize these characteristics:
1. Center of the ellipse: The midpoint C<span> of the line segment joining the foci is called the </span>center<span> of the ellipse. So in this exercise this point is as follows:
</span>
2. Length of major axis:
The line through the foci is called the major axis<span>, so in the figure if you go from -5, at the y-coordinate, and walk through this major axis to the coordinate 1, the distance you run is the length of the major axis, that is:</span>
3. Length of minor axis:
The line perpendicular to the foci through the center is called the minor axis. So in the figure if you go from -2, at the x-coordinate, and walk through this minor axis to the coordinate 2, the distance you run is the length of the minor axis, that is:
4. Foci:Let's find c as follows:

Then the foci are:

Answer:
The train can be made up in a total of
ways
Step-by-step explanation:
FIrst, lets assume that all cars are distinct. If that is the case, then, since we have a total of 8 cars, we have
- 8 possibilities for the first car
- 7 possibilities for the second car
- 6 possibilities for the third car
and so on.
So we have a total of 8! = 8*7*6*...*3*2*1 possibilities to make a train.
Now lets take into account that 5 of the cars are identical within each other. Then we could make a permutation of those 5 cars and we wouldnt notice. Hence, the order of the 5 cars of second-class doesnt matter and as a result, we should divide 8! by the total of possible permutations of the 5 second class cars, that it, 5!
We also need to divide the result by 2! = 2, because which first class car came first doesnt matter either. Therefore, the train can be made up in a total of
ways.
If you factor 4x²-12x, you can divide 4x from each term.
4x² ÷ 4x = x
-12x ÷ 4x = -3
Therefore, the other term becomes (x-3) because 4x(x-3) = 4x²-12x
Answer:
smile please :)
Step-by-step explanation:
smile please :)
3:4 because both numbers can be divided by 3