Please help will give brainliest

Mathematics

2 answers:

gulaghasi [49]3 years ago

7 0

The entire fraction is inside, so do the square root of each number normally:

Sqroot (16) = 4
Sqroot (49) = 7

Answer: 4/7

oksano4ka [1.4K]3 years ago

5 0

That would be 4/7.

The square root of 16 is 4.
The square root of 49 is 7.

4 is the numerator and 7 is the denominator.

Hope this helps!

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The vertices are $\left(3,\:0\right),\:\left(-3,\:0\right)$ .

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Step-by-step explanation:

$\frac{\left(x-h\right)^2}{a^2}-\frac{\left(y-k\right)^2}{b^2}=1$ is the standard equation for a right-left facing hyperbola with center $\left(h,\:k\right)$ .

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$\frac{x^2}{9}-\frac{y^2}{36}=1$ , is a right-left Hyperbola with $\:\left(h,\:k\right)=\left(0,\:0\right),\:a=3,\:b=6$ and vertices $\left(3,\:0\right),\:\left(-3,\:0\right)$ .

For a right-left facing hyperbola, the Foci (focus points) are defined as $\left(h+c,\:k\right),\:\left(h-c,\:k\right)$ where $c=\sqrt{a^2+b^2}$ is the distance from the center $\left(h,\:k\right)$ to a focus.

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The asymptotes are the lines the hyperbola tends to at $\pm \infty$ . For right-left hyperbola the asymptotes are: $y=\pm \frac{b}{a}\left(x-h\right)+k$