Answer:
Step-by-step explanation:
Given
Required
Initial expression of f(x) is
From the question; we understand that f(x) was shifted down by 3 units;
This implies that
Also from the question; we understand that this new f(x) is equivalent to g(x);
In other words;
Substitute and
This gives
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Subtract 0.5x to both sides
Rearrange
Multiply both sides by -1
Answer:
The lateral surface is 120 , which agrees with the third answer option of the list.
Step-by-step explanation:
Notice that the prism has 5 equal lateral faces, which are all rectangles of eight 6". The width of the prisms can be obtained by using the fact that the perimeter of the pentagon is 20", which gives a side length of 20/5 = 4 " which is the same as the with of the lateral rectangles.
Then the lateral area of the prism is:
Lateral area= 5 (6" x 4") = 5 (24) = 120