Calculate the length of a triangle if another length is 15 feet and the hypotenuse is 39 feet.

1 answer:

3 0

We have to use Pythagorean theorem that says :

$a^2+b^2=c^2\\\Rightarrow a^2+15^2=39^2\\a^2=39^2-15^2\\a=\sqrt{1296}\\a=36$

The missing length of the triangle is : 36 feet

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RUDIKE [14]

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please help! functions and relations. f(x)= square root of x-4. find the inverse of f(x) and it’s domain.

likoan [24]

ANSWER:

$\:D.\text{ }f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge-4$

STEP-BY-STEP EXPLANATION:

We have the following equation:

$f(x)=\sqrt{x}-4$

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

$\begin{gathered} x=\sqrt{f^{-1}(x)}-4 \\ \\ \sqrt{f^{-1}(x)}=x+4 \\ \\ f^{-1}(x)=(x+4)^2 \end{gathered}$

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.

Therefore, the domain is x ≥ -4.

So the correct answer is D.