Step-by-step explanation:
If g(a)=0, the limit necessarily doesn't have to not exist. If a limit approach an asymptote, it would approach positive infinity or negative infinity.
Answer:
y = -2x - 5
Step-by-step explanation:
<u>1) Find the slope of the line.</u>
The slope of the original line is the same as the slope of the parallel line.
Slope formula:
In this case you can choose any 2 set of points on the table.
= 
= 
= -2
So the slope of the line is -2
<u>2) Use the point-slope formula to find the equation of the line.</u>
Point-slope formula:
Now plug in the point (0, -5) and the slope -2 into the equation.
y - (-5) = -2(x - 0)
y + 5 = -2(x - 0)
To solve the equation first apply the distributive property.
y + 5 = -2x + 0
y + 5 = -2x
Next, subtract 5 from sides.
y = -2x - 5
You know have your equation in point-slope form!
Answer:
own a guitar
checking account
stocks and bonds
own a motorcycle
Step-by-step explanation:
Answer:
The ratio is 10 : 1, or 10 to 1
Step-by-step explanation:
Part a)
Answer: 5*sqrt(2pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(50/pi)
r = sqrt(50)/sqrt(pi)
r = (sqrt(50)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(50pi)/pi
r = sqrt(25*2pi)/pi
r = sqrt(25)*sqrt(2pi)/pi
r = 5*sqrt(2pi)/pi
Note: the denominator is technically not able to be rationalized because of the pi there. There is no value we can multiply pi by so that we end up with a rational value. We could try 1/pi, but that will eventually lead back to having pi in the denominator. I think your teacher may have made a typo when s/he wrote "rationalize all denominators"
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Part b)
Answer: 3*sqrt(3pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(27/pi)
r = sqrt(27)/sqrt(pi)
r = (sqrt(27)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(27pi)/pi
r = sqrt(9*3pi)/pi
r = sqrt(9)*sqrt(3pi)/pi
r = 3*sqrt(3pi)/pi
Note: the same issue comes up as before in part a)
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Part c)
Answer: sqrt(19pi)/pi
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Work Shown:
r = sqrt(A/pi)
r = sqrt(19/pi)
r = sqrt(19)/sqrt(pi)
r = (sqrt(19)*sqrt(pi))/(sqrt(pi)*sqrt(pi))
r = sqrt(19pi)/pi
