Answer:
First option
Step-by-step explanation:
In this case we must write a quadratic equation in the vertex form.
We have the vertice. (7, 9)
We know that the vertex form for a quadratic equation is:
.
Where (h, k) is the vertex.
So if the vertex is (7, 9), the equation sought is:
Therefore the answer is the first option.
The point will be at (-1, 3). Use the x value that has only been used once, -1, and the y value that has only been used once. (6,0) and (6, 3) are on the same side vertically of the rectangle because their x values are the same. Because 6 > -1, you know that they make up the right side of the rectangle. (-1,0) and (6, 0) both have the same y values, so they are on the same side horizontally, and are the bottom of the rectangle because 0<3. This all means the fourth point is the rectangles's top left corner. Because it is a rectangle, its sides are parallel, so you know that it will have the same x value as the left bottom point (-1,0) and the same y value as the right top point, (6, 3).
An outlier is a value which is a lot lower or higher than the rest of the data
In this case it is 0.
Find the volume of the cylinder, then the volume of the empty space. Finally, we subtract these.
V = pi * r^2 * h
V = 3.14 * 3^2 * 12
V = 339.12
So the volume of the bottle of lotion is 339.12.
V = pi * r^2 * h
V = 3.14 * 0.5^2 * 12
V = 9.42
So the volume of the empty space in the bottle of lotion is 9.42.
Subtract these:
339.12 - 9.42 = 329.7
10.60 all you have to do is add up the totals