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MrMuchimi
3 years ago
10

Pythagorean theorem question:)

Mathematics
1 answer:
AURORKA [14]3 years ago
4 0
11^2 + 9^2 = x^2
121 + 81 = x^2
202 = x^2
14.21 = x

The answer is 14.21
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Finding an Equation of a Tangent Line In Exercise, use implicit differentiation to find an equation of the tangent line to the g
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Answer:

y=\frac{4}{3}-\frac{x}{3e}

Step-by-step explanation:

Equation of tangent line of given function at (e,1) is found by implicitly differentiating the given function w.r.to x

y^{2}+ln(xy)=2\\\\y^{2}+ln(x)+ln(y)=2\\\\\frac{d}{dx}(y^{2}+ln(x)+ln(y))=\frac{d}{dx}(2)\\\\2y\frac{dy}{dx}+\frac{1}{x}+\frac{1}{y}\frac{dy}{dx}=0\\\\\frac{dy}{dx}(2y+\frac{1}{y})=-\frac{1}{x}\\\\\frac{dy}{dx}=-\frac{y}{x(2y^{2}+1)}\\\\at (e,1)\\\\\frac{dy}{dx}=-\frac{1}{e(2+1)}\\\\\frac{dy}{dx}=\frac{1}{3e}

Equation of tangent line is

y-y₁=m(x-x₁)

at (e,1)

y-1=-\frac{1}{3e}(x-e)\\\\y=1-\frac{1}{3e}(x-e)\\\\y=1+\frac{1}{3}-\frac{x}{3e}\\\\y=\frac{4}{3}-\frac{x}{3e}\\

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4 years ago
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\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

\frac{4}{5}  +  \frac{3}{15} -  \frac{2}{3}   \\

<u>Taking </u><u>LCM</u>

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2 years ago
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