The meaning of the horizontal asymptote is that the increase in a person's body temperature is a constant value when long time passes.
You can obtain that value by calculating the limit of the function when t → ∞:
4t
T(t) = ------------- => Lim T(t) when t → +∞ = 0.
t^2 + 1
That means that at long term the Temperature tends to remain at 98.6°F.
S= R- 1/3R
The first problem s=18 r-= 6
This is how it works
Use S-= R-1/3R
12= 18-1/3(18)
12= 18-6
12=12
Answer:
<h2>1. 14 in</h2><h2>2. 28 in.</h2><h2>3. 43 in</h2>
Step-by-step explanation:
x 2x 3x + 1
|---------|-------------------|---------------------------|
|<-------------------- 85 in ------------------------>|
85 = x + 2x + 3x + 1
85 - 1 = 6x
x = 84 / 6
x = 14
1st piece = 14 in
2nd piece = 2(14) = 28 in
3rd piece = 3(14) + 1 = 43 in
----------------------------
total = 85 in
For this case we have that by definition, the equation of a line in the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
On the other hand we have that if two lines are perpendicular, then the product of their slopes is -1. So:

The given line is:

So we have:

We find 

So, a line perpendicular to the one given is of the form:

We substitute the given point to find "b":

Finally we have:

In point-slope form we have:

ANswer:

(n + 7)2 = n - 1
2n +14 = n - 1
2n - n +14 = n - n - 1
n + 14 -14 = -1 - 14
n = -15
(-15 + 7)2 = -15 - 1
(-8)2 = -16
-16 = -16