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AURORKA [14]
3 years ago
14

Use the drop-down menus to complete the proof of the Pythagorean Theorem using the

Mathematics
1 answer:
Softa [21]3 years ago
5 0

Answer:

Step-by-step explanation:

Equal to

c^2

a^2+b^2

a^2+b^2=c^2

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Please answer now I will give the crown thingy
Wewaii [24]

Answer:

three times

Step-by-step explanation:

8 0
2 years ago
If f(x)=2x+sinx and the function g is the inverse of f then g'(2)=
Alexxx [7]
\bf f(x)=y=2x+sin(x)
\\\\\\
inverse\implies x=2y+sin(y)\leftarrow f^{-1}(x)\leftarrow g(x)
\\\\\\
\textit{now, the "y" in the inverse, is really just g(x)}
\\\\\\
\textit{so, we can write it as }x=2g(x)+sin[g(x)]\\\\
-----------------------------\\\\

\bf \textit{let's use implicit differentiation}\\\\
1=2\cfrac{dg(x)}{dx}+cos[g(x)]\cdot \cfrac{dg(x)}{dx}\impliedby \textit{common factor}
\\\\\\
1=\cfrac{dg(x)}{dx}[2+cos[g(x)]]\implies \cfrac{1}{[2+cos[g(x)]]}=\cfrac{dg(x)}{dx}=g'(x)\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}

now, if we just knew what g(2)  is, we'd be golden, however, we dunno

BUT, recall, g(x) is the inverse of f(x), meaning, all domain for f(x) is really the range of g(x) and, the range for f(x), is the domain for g(x)

for inverse expressions, the domain and range is the same as the original, just switched over

so, g(2) = some range value
that  means if we use that value in f(x),   f( some range value) = 2

so... in short, instead of getting the range from g(2), let's get the domain of f(x) IF the range is 2

thus    2 = 2x+sin(x)

\bf 2=2x+sin(x)\implies 0=2x+sin(x)-2
\\\\\\
-----------------------------\\\\
g'(2)=\cfrac{1}{2+cos[g(2)]}\implies g'(2)=\cfrac{1}{2+cos[2x+sin(x)-2]}

hmmm I was looking for some constant value... but hmm, not sure there is one, so I think that'd be it
5 0
2 years ago
What is the <br> inverse of the function f(x) = x + 2?
lisabon 2012 [21]
Assuming the function is x^2
4 0
3 years ago
Zara walked 3/4 mile in 30 minutes. How long will it take her to walk 2 miles?
Talja [164]

Answer:

80 minutes

Step-by-step explanation:

(3/4)/30=2/x

cross product

30*2=(3/4)x

60=3/4x

x=60/(3/4)

x=(60/1)(4/3)

x=240/3

x=80

5 0
3 years ago
The equation with one change and no solutions: 8x + 6 =
Lisa [10]
The answer is 2 ........
6 0
3 years ago
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