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Kaylis [27]
3 years ago
12

If you were given the following statements write your conclusion :

Mathematics
1 answer:
Paladinen [302]3 years ago
6 0

Step-by-step explanation:

because vertically opposite angles always intersect at a point

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Write an equation in standard form of the hyperbola described.
marishachu [46]

Check the picture below, so the hyperbola looks more or less like so, so let's find the length of the conjugate axis, or namely let's find the "b" component.

\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} \end{cases} \\\\[-0.35em] ~\dotfill

\begin{cases} h=0\\ k=0\\ a=2\\ c=4 \end{cases}\implies \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{b^2} \\\\\\ c^2=a^2+b^2\implies 4^2=2^2+b^2\implies 16=4+b^2\implies \underline{12=b^2} \\\\\\ \cfrac{(x-0)^2}{2^2}-\cfrac{(y-0)^2}{12}\implies \boxed{\cfrac{x^2}{4}-\cfrac{y^2}{12}}

5 0
2 years ago
Estimate the value of 196 divided by 0.499
tester [92]
The exact answer would be <span>392.78

An estimated value could be either 390 or 393</span>
4 0
3 years ago
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diamong [38]
2x+2=-52
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That is the simple formula for it.
4 0
3 years ago
Are the graphs 8x+3y=6 and 8x-3y=6 perpendicular
Alla [95]
Lines are perpendicular if the slope of one is the negative reciprocal of the other. In this case the slopes are -8/3 and 8/3, so while negative they are not reciprocal. So no, the two lines intersect but are not perpendicular.
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The quotient when the quantity of 17 plus p is divided by 8
Sonbull [250]

Answer: The correct answer for this question is: (17+p)/8

Step-by-step explanation:

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