Answer:
See below
Step-by-step explanation:
<u>Part A</u>
A vertical stretch takes place when
given that 
<u>Part B</u>
A vertical compression takes place when
given that 
<u>Part C</u>
A vertical stretch is different than a horizontal compression:
- In a vertical stretch, the input stays the same, but the output is multiplied by the scale factor
- In a horizontal compression, the output stays the same, but the input is multiplied by the scale factor
<u>Part D</u>
A reflection across the x-axis means that the output, our y-variable, is the opposite sign. This means that all values of
must be negative such that
as mentioned in parts A and B. Also, in part C, since our scale factor is negative, the output is the only one being multiplied by the scale factor.
Answer: 135cm
Step-by-step explanation
Volume of a cylinder = πr²h
Volume of a cone. = 1/3πr²h
The two shapes are both solid shapes.
Since the have same volume, we can then equate the two together and solve for the height of the cone.
Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.
Now equating the two
πR²H = 1/3πr²h
Now substitute for the values now
Multiply through by 3
3πR²H = πr²h
But π is common so it could be obliterated from the equation
3R²H = r²h
3 x 12² x 20 = 8² x h
3 x 144 x 20 = 64 x h
60 x 144 = 64h
8640. = 64h
Therefore
h = 8640/64
= 135cm
Answer:

Step-by-step explanation:
The volume of a cone is given as:

where r = radius
h = height of cone
The height of the cone is 17.7 cm and its base radius is 7.9 cm (diameter is 15.8 cm).
Its volume is:

Answer:
4
Step-by-step explanation:
Where g is 3, the value is 4.
To find the values, the number in the parentheses tells you the x coordinate of the point. Find the point that corresponds to the coordinate to see where it lines up on the y-axis. The answer is the y-value.
So, another way of looking at is x(3). Where x is 3, y is 4.
1+1+1+1×1×1+1+1+1+1+1+1+1+×1×1×1+1+1+1 = 14