From the description of the function, it is seen that the curve has an asymptote at x = -2. Asymptotes are typical from rational functions. The only option that matches this feature is y = 1/(x + 2) + 3

Moreover, replacing x = 0 into the equation, we get:

y = 1/(0 + 2) + 3 = 3.5

And replacing y = 0 into the equation, we get:

0 = 1/(x + 2) + 3

-3 = 1/(x + 2)

x + 2 = -1/3

x = -1/3 - 2

x = -2.33 ≈ -2.5

5 0

3 years ago

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What is the approximate surface area of the Hayden Sphere in terms of T?

trapecia [35]

Answer:

$A=7569\pi \ ft^2$

Step-by-step explanation:

The diameter of a sphere is 87 feet.

We need to find its surface area. The formula for surface area is given by :

$A=4\pi r^2$

Where

r is the radius of the sphere

$A=4\pi \times (\dfrac{87}{2})^2\\\\=7569\pi \ ft^2$

So, the surface area of the sphere is equal to $7569\pi \ ft^2$ .

8 0

3 years ago