Solve the equation by compleeting the square x^2 + 8 = 4x

Mathematics

1 answer:

bulgar [2K]3 years ago

3 0

The solution set is -8,0. Hope this helps!

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Few math questions TIME IS RUNNING OUT!! PLEASE HELP!!!!

olya-2409 [2.1K]

1.

$|5+6x|\ \textless \ 13\\\\-13\ \textless \ 5+6x\ \textless \ 13$

so

$\begin{cases}5+6x\ \textless \ 13\\5+6x\ \textgreater \ -13\end{cases}$

Answers B and D.

2.

$|x+9|\geq11\\\\x+9\ \textgreater \ 11\qquad\vee\qquad x+9\leq-11\\\\
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3.

The same as point 2. Answer D.

4.

Answer C.

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Find the length of the curve y=3x^3/2 from x=0 to x=5/9

Alekssandra [29.7K]

$y=3x^{3/2}\implies y'=\dfrac92x^{1/2}$

The length of the curve is

$L=\displaystyle\int_0^{5/9}\sqrt{1+\left(\dfrac92x^{1/2}\right)^2}\,\mathrm dx=\int_0^{5/9}\sqrt{1+\dfrac{81}4x}\,\mathrm dx=\dfrac{335}{243}$