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Grace [21]
2 years ago
6

What is the maximum area of a rectangle with a perimeter of 60 km?

Mathematics
1 answer:
True [87]2 years ago
5 0
The maximum area for a rectangle will always be when it is in the shape of a square, meaning all sides are the same length. That being said, if the perimeter is 60, we know that the side of the square is 15km. So now we can square the side to get the area so 15km*15km = 225km^2
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Answer:

The inverse function is g(x) = ± \frac{\sqrt{x+12}}{3} , x ≥ -12 ⇒ D

Step-by-step explanation:

* Lets explain how to find the inverse function

- The steps of find the inverse of function f(x)

# Write y = f(x)

# Switch x and y

# Solve to find the new y

* Lets solve the problem

∵ f(x) = 9x² - 12

- Do the steps above

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∵ y = f(x)

∴ y = 9x² - 12

- Switch x and y

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- take √ for both side don't forget to put ± in-front of it

∴ ± \sqrt{x+12} = 3y

- Divide both sides by 3

∴ y = ± \frac{\sqrt{x+12}}{3}

∵ There is no square root for negative number

∴ x + 12 ≥ 0 ⇒ subtract 12 from both sides

∴ x ≥ -12

- The function is defined for all values of x greater than or equal -12

∴ The inverse function is g(x) = ± \frac{\sqrt{x+12}}{3} , x ≥ -12

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