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NeX [460]
3 years ago
13

Find inverse of f(x)=(x+4)^2

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
7 0

Answer:

f⁻¹(x) = -4 + √x

emmasim [6.3K]3 years ago
4 0

Answer:

f⁻¹(x) = -4 + √x

Step-by-step explanation:

Switch the positions of x and y then solve for x.

f(x)=(x+4)^2\\x=(y+4)^2\\\sqrt{x} =y+4\\\sqrt{x} -4=y

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find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. round your answer to the nearest te
irakobra [83]
The answer is 374.4 yards.

There are 2 ways to calculate the area of a <span>a regular hexagon.
It is given:
apothem: b = 10.4 yards
side: a = 12 yards

1. The direct way is to use the formula for the regular hexagon without using an apothem:
</span>A= \frac{3 \sqrt{3} }{2} a^{2}
<span>where
A - the area of the </span><span>hexagon
a - the side of the </span><span>hexagon

Therefore:
</span><span>A= \frac{3 \sqrt{3} }{2} 12^{2}
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</span>
2. The indirect way is to sketch the hexagon with 3 diagonals and create 6 triangles. Then, it is necessary to calculate the area of one triangle and multiply it by 6. In this triangle, apothem is actually the height.
The area of the hexagon is:
A = 6 · A₁
where:
A - the area of the <span>hexagon,
</span>A₁ - the area of the triangle

A_{1}= \frac{a*h}{2}

where
h - <span>height of the triangle.
</span>

Since apothem (b) of the hexagon is the height (h) of the triangle, then:
A_{1}= \frac{a*h}{2}
<span>A_{1}= \frac{12*10.4}{2}
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</span>
Thus, the area of one triangle is 62.4 yards.

To calculate the area of the hexagon, we will multiply it by 6:
<span>A = 6 · A₁
</span><span>A = 6 · 62.4
</span>A = 374.4 yards

<span>In both cases, the result is 374.4 yards.</span>The answer is


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