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Sergeu [11.5K]
3 years ago
13

Solve the equation 186+10x=25.5x to find how many diving lessons __ lesson(s)

Mathematics
1 answer:
vredina [299]3 years ago
3 0

Answer: x=12

Steps shown in image below:

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A hyperbola centered at the origin has a vertex at (9, 0) and a focus at (−15, 0). Which are the equations of the asymptotes? y
chubhunter [2.5K]
Well, we know is centered at the origing, thus h,k are just 0,0.

using the provided vertex and focus point, gives us a distance for "a" of 9 and a distance for "c" of 15, check the picture below.

\bf \textit{hyperbolas, horizontal traverse axis }\\\\
\cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1
\qquad 
\begin{cases}
center\ ( h, k)\\
vertices\ ( h\pm a,  k)\\
c=\textit{distance from}\\
\qquad \textit{center to foci}\\
\qquad \sqrt{ a ^2+ b ^2}\\
\textit{asymptotes}\quad  
y= k\pm \cfrac{b}{a}(x- h)
\end{cases}\\\\
-------------------------------

\bf \begin{cases}
a=9\\
c=15
\end{cases}\implies c=\sqrt{a^2+b^2}\implies \sqrt{c^2-a^2}=b
\\\\\\
\sqrt{15^2-9^2}=b\implies \sqrt{144}=b\implies \boxed{12=b}\\\\
-------------------------------\\\\
asymptotes\qquad y=0\pm\cfrac{12}{9}(x-0)\implies y=\pm\cfrac{4}{3}x

3 0
4 years ago
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I need help please explain your work for number 7 only
Keith_Richards [23]

Answer:

Transitive property

Step-by-step explanation:

When a=c and b=c, a=b

A would be 16+43

B would be 59

C would be 10+49

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2 years ago
Plz help me its do today
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Answer:

your doing slope too?

Step-by-step explanation:

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3 years ago
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(1,2) (1,8) (3,6) (4,8) is it a function?
algol [13]

Answer:

No, because the x value of 1 correlates to two different y values.

Step-by-step explanation:

A function is defined by an x value having exactly one corresponding y value. In this case, the x value of 1 corresponds to both the y values of 2 and 8, therefore invalidating it as a function.

Hope this helps!

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3 years ago
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3241004551 [841]

Answer:

^_^

Step-by-step explanation:

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