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Jet001 [13]
3 years ago
11

PLEASE HELP!!!!!!!!!!!!!!!

Mathematics
2 answers:
icang [17]3 years ago
8 0
I think its c / third one
vivado [14]3 years ago
4 0
Hi there ! i think is number one. or a
You might be interested in
Find the vertices and foci of the hyperbola. 9x2 − y2 − 36x − 4y + 23 = 0
Xelga [282]
Hey there, hope I can help!

NOTE: Look at the image/images for useful tips
\left(h+c,\:k\right),\:\left(h-c,\:k\right)

\frac{\left(x-h\right)^2}{a^2}-\frac{\left(y-k\right)^2}{b^2}=1\:\mathrm{\:is\:the\:standard\:equation\:for\:a\:right-left\:facing:H}
with the center of (h, k), semi-axis a and semi-conjugate - axis b.
NOTE: H = hyperbola

9x^2-y^2-36x-4y+23=0 \ \textgreater \  \mathrm{Subtract\:}23\mathrm{\:from\:both\:sides}
9x^2-36x-4y-y^2=-23

\mathrm{Factor\:out\:coefficient\:of\:square\:terms}
9\left(x^2-4x\right)-\left(y^2+4y\right)=-23

\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}9
\left(x^2-4x\right)-\frac{1}{9}\left(y^2+4y\right)=-\frac{23}{9}

\mathrm{Divide\:by\:coefficient\:of\:square\:terms:\:}1
\frac{1}{1}\left(x^2-4x\right)-\frac{1}{9}\left(y^2+4y\right)=-\frac{23}{9}

\mathrm{Convert}\:x\:\mathrm{to\:square\:form}
\frac{1}{1}\left(x^2-4x+4\right)-\frac{1}{9}\left(y^2+4y\right)=-\frac{23}{9}+\frac{1}{1}\left(4\right)

\mathrm{Convert\:to\:square\:form}
\frac{1}{1}\left(x-2\right)^2-\frac{1}{9}\left(y^2+4y\right)=-\frac{23}{9}+\frac{1}{1}\left(4\right)

\mathrm{Convert}\:y\:\mathrm{to\:square\:form}
\frac{1}{1}\left(x-2\right)^2-\frac{1}{9}\left(y^2+4y+4\right)=-\frac{23}{9}+\frac{1}{1}\left(4\right)-\frac{1}{9}\left(4\right)

\mathrm{Convert\:to\:square\:form}
\frac{1}{1}\left(x-2\right)^2-\frac{1}{9}\left(y+2\right)^2=-\frac{23}{9}+\frac{1}{1}\left(4\right)-\frac{1}{9}\left(4\right)

\mathrm{Refine\:}-\frac{23}{9}+\frac{1}{1}\left(4\right)-\frac{1}{9}\left(4\right) \ \textgreater \  \frac{1}{1}\left(x-2\right)^2-\frac{1}{9}\left(y+2\right)^2=1 \ \textgreater \  Refine
\frac{\left(x-2\right)^2}{1}-\frac{\left(y+2\right)^2}{9}=1

Now rewrite in hyperbola standardform
\frac{\left(x-2\right)^2}{1^2}-\frac{\left(y-\left(-2\right)\right)^2}{3^2}=1

\mathrm{Therefore\:Hyperbola\:properties\:are:}\left(h,\:k\right)=\left(2,\:-2\right),\:a=1,\:b=3
\left(2+c,\:-2\right),\:\left(2-c,\:-2\right)

Now we must compute c
\sqrt{1^2+3^2} \ \textgreater \  \mathrm{Apply\:rule}\:1^a=1 \ \textgreater \  1^2 = 1 \ \textgreater \  \sqrt{1+3^2}

3^2 = 9 \ \textgreater \  \sqrt{1+9} \ \textgreater \  \sqrt{10}

Therefore the hyperbola foci is at \left(2+\sqrt{10},\:-2\right),\:\left(2-\sqrt{10},\:-2\right)

For the vertices we have \left(2+1,\:-2\right),\:\left(2-1,\:-2\right)

Simply refine it
\left(3,\:-2\right),\:\left(1,\:-2\right)
Therefore the listed coordinates above are our vertices

Hope this helps!

8 0
3 years ago
Emily can write 1/6 pages for Ms.McCrimmon in 1/12 minutes. What was her unit rate to write full pages?
Vinil7 [7]

1/6:1/12 is 2:1

She can write 2 pages per minute

3 0
3 years ago
The number line shows four points. Which point represents the approximate location of
astraxan [27]
Point C is the answer

8 0
3 years ago
Read 2 more answers
Macey bought a carton of 18 Dr. Peppers for $2.30. At this rate, what would be the approximate cost per soda?
Ghella [55]

Answer:

.13 cents per can

Step-by-step explanation:

If you bought 18 cans with $2.30, you need to divide 2.30 by 18 becauseyou need to find out the unit price for each can.  When you divide .2.30 by 18 you get .1277777repeaing so you can just round up from there and get .13 cents.

3 0
3 years ago
It has been reported that men are more likely than women to participate in online auctions. In a recent survey, 65% of repondent
kupik [55]

Answer:

Hence, the Female and not participated is \frac{28}{100}=0.28\%

Step-by-step explanation:

Let Total respondents =100

Participated in online action (P)=65

Men (m)=45  and Women (F)=100-45=55

Male and participated (M\; \text{and}\;P)=38

Female and participated (F\; \text{and}\;P)=65-38=27

Male and not participated is 45-38=7

Female and not participated is 55-27=28

Therefore, the Female and not participated is \frac{28}{100}=0.28\%

Hence, the correct option is D.

5 0
3 years ago
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