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Explanation:</h2><h2>
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Hello! Remember you have to write complete questions in order to get good and exact answers. I'll help you to understand this problem, but I have to assume some things.
We know that the empty cup in the shape of a cylinder is being filled with water. Suppose the volume of this cylinder is:
Suppose that the cup is filled at a constant rate of 
, so in 7 seconds the cup is filled the following amount:
So this represents the following percentage:
Finally, after 7 seconds the cup is 77.78% filled
Answer:
-2.9
Step-by-step explanation:
You are really subtracting. Note that if you have a positive & negative sign directly next to each other, you will subtract:
-1.2 + (-1.7) = -1.2 - 1.7 = -2.9
-2.9 is your answer.
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Answer:
The standard form of the ellipse is 
.
Step-by-step explanation:
The major axis of the ellipse is located in the y axis, whereas the minor axis is in the x axis. The center of the ellipse is the midpoint of the line segment between vertices, this is:
(1)
If we know that 
and 
, then the coordinates of the center are, respectively:
The length of each semiaxis is, respectively:
The standard equation of the ellipse is described by the following formula:
Where:
, 
- Coordinates of the center of the ellipse.
, 
- Length of the orthogonal semiaxes.
If we know that 
, 
, and , then the standard form of the ellipse is:
Answer:
21.64
Step-by-step explanation:
7.7+0.94+13=21.64
Answer:
(4,-3)
Step-by-step explanation:
Easiest way to do this without any advanced methods is to use the answer choices to your advantage.
For a.) we have (1,1) meaning x = 1 and y = 1 if we get a 7 for the first equation and a -2 for the second equation then that is the correct answer.
Let x=1, y =1:
4(1)+3(1)=4+3=7 Correct so far.
1+2(1)=1+2=3 Incorrect since we should have got a -2 if this was the solution
Let (0,-1) x = 0, y = -1:
4(0) + 3(-1) = 0 -3 = - 3 Incorrect so we can stop there next answer choice.
Let (4,-3) x = 4 y = -3:
4(4)+3(-3)=16-9=7 Correct so far.
4+2(-3)=4-6=-2 Both are correct!
Therefore the solution (where the lines intersect) is (4,-3).
