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musickatia [10]
3 years ago
15

WILL mark branliest answer if gotten right

Mathematics
1 answer:
Jet001 [13]3 years ago
5 0
Alternative exterior
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(-3,-4)

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Plz help
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Answer:if you need a question you can say “ how far did the toy car move? “

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Which is an asymptote of the graph of the function y = cot ( x - 2pi / 3 )
vesna_86 [32]
\bf y=cot\left(x-\frac{2\pi }{3}  \right)\implies y=\cfrac{cos\left(x-\frac{2\pi }{3}  \right)}{sin\left(x-\frac{2\pi }{3}  \right)}

now, if the denominator turns to 0, the fraction becomes undefined, and you get a "vertical asymptote" when that happens, so let's check when is that

\bf sin\left(x-\frac{2\pi }{3}  \right)=0\implies sin^{-1}\left[ sin\left(x-\frac{2\pi }{3}  \right) \right]=sin^{-1}(0)&#10;\\\\\\&#10;x-\frac{2\pi }{3}=&#10;\begin{cases}&#10;0\\&#10;\pi &#10;\end{cases}\implies \measuredangle x=&#10;\begin{cases}&#10;\frac{2\pi }{3}\\&#10;\frac{5\pi }{3}&#10;\end{cases}

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3 0
4 years ago
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The function f(x) = −x^2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), i
pychu [463]
Set the function to equal zero:

-x^2 - 5x + 50 = 0

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

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Plug the values into the equation:

a = -1, b = -5, c = 50

x=\frac{5\pm\sqrt{-5^2-4(-1)(50)}}{2(-1)}

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The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.

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3 years ago
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