Answer:
5
Step-by-step explanation:
A=a+b/2 x h
4 = a
5 = b
8 = h
4 + 5 / 2 = 4.5
4.5 x 8 = 36
So the other base length is 5
Answer:
when 
Step-by-step explanation:
Given


Required
Solve
Substitute 3 for x in 

Evaluate all exponents



The decay factor of the exponential function given in the table is of
.
<h3>What is an exponential function?</h3>
A decaying exponential function is modeled by:

In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
In this problem, we have that when x increases by 1, y decreases by a factor of 3, hence the decay rate r is found as follows:



More can be learned about exponential functions at brainly.com/question/25537936
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Answer:
58 square feet
Step-by-step explanation:
The room is already broken down into two smaller rectangles.
The smaller of the two measures 4 ft by 2 ft.
, so substitute 4 for
and 2 for
.
(smaller rectangle)
, or
.
(smaller rectangle) 
The larger measures 10 ft by 5 ft, so using the same method, multiply
times
.
(larger rectangle)
, or
.
(larger rectangle) 
Add the two rectangles' areas together to find the total area of the room.
8 + 50 = 58
Convert to vertex form:-
y = 5(x^2 - 2x) + 1
y = 5[(x - 1)^2 - 1] + 1
y = 5(x - 1)^2 - 4
vertex is (1, -4)