Answer:
Area = 12x + 66
Perimeter = 2x + 35
Step-by-step explanation:
Area= 12(5.5 + x)
= 12x + 66
Perimeter = 2[(5.5 + x)+12]
= 2(17.5 + x)
= 2x + 35
Problem 12)
You are correct. You solve the system
x+1 = 3y
3x-4 = 5y+1
for x and y to find that x = 5 and y = 2
As a check
x+1 = 3y
5+1 = 3*2
6 = 6 ... true equation
and
3x-4 = 5y+1
3*5-4 = 5*2+1
11 = 11 ... true equation
Both equations are true when (x,y) = (5,2) so the answer is confirmed
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Problem 13)
Unfortunately the diagram is cut off so its impossible to say at the moment. Please repost this one. Thank you.
In the case of exponential functions, the graph is shifted when a constant is added to the exponent of the constant. The original equation, f(x) is:
f(x) = (1/2)ˣ
Now, when horizontal shifting is occurring, the equation is:
y = Cˣ⁺ᵃ
If a is positive, the graph shifts to the lefts and the shift is equal to a units. If a is negative, the graph shifts to the right and the shift is equal to a units. Therefore, to shift the graph 3 units to the left:
g(x) = (1/2)⁽ˣ⁺³⁾
The correct answer is B.
<span>The answers to this are:
A. –5
C. 0
E.7
</span>