Answer:
The height of the second cylinder is 30mm
Step-by-step explanation:
Given
Cylinder 1:
Cylinder 2
See attachment
Required
Determine h, the height of the small one
To do this, we make use of the following equivalent ratios;
This gives:
Express as fraction
Simplify
Cross multiply
Given:
A student says that the graph of the equation is the same as the graph of
, only translated upwards by 8 units.
To find:
Whether the student is correct or not.
Solution:
Initial equation is
Equation of after transformation is
Now,
...(i)
The translation is defined as
...(ii)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
From (i) and (ii), we get
Therefore, the graph of translated left by 8 units. Hence, the student is wrong.