Graph the circle: x2 + y2 + 10x +6y +18 = 0
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Using an exponential function, it is found that it takes 5.42 years for the car to halve in value.
<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, the car depreciates 12% a year in value, hence r = 0.12 and the equation is given by:
.
It halves in value at t years, for which A(t) = 0.5A(0), hence:
t = 5.42.
It takes 5.42 years for the car to halve in value.
More can be learned about exponential functions at brainly.com/question/25537936
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After the translation 4 units down
The rule of translation is (x, y) to (x , y-4)
The graph will be as following
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For the graph of the triangle:
D = ( 4 , 0) , B = (6 , -2) and C = ( 10 , -2)
it is required to graph after translation 7 units left and 8 units up
So, for each point add ( -7 , 8 )
So,
D' = ( -3 , 8) , B' = (-1 , 6 ) and C' = ( 3 , 6)
the graph will be as following:
