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german
3 years ago
5

Which describes the graph of y= (x+ 6)²+ 1? A. Vertex at (-6,-1) B. Vertex at (-6, 1) C. Vertex at (6, 1) D. Vertex at (6,-1)​

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer:

B

Step-by-step explanation:

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Quadrilateral ABCD ​ is inscribed in this circle.
Alecsey [184]
The sum of all interior angles in a polygon is

180(n-2), where n = sides, well, this is a QUADrilateral, so it has 4 sides, so the total is 360°.

now, let's find what angle C is first,

\bf \stackrel{A}{(2x-40)}+\stackrel{B}{(116)}+C+\stackrel{D}{(x)}=360\implies C+3x+76=360
\\\\\\
C+3x=284\implies C=284-3x

now, recall the "inscribed quadrilateral conjecture", where opposite angles are "supplementary angles", thus

\bf \stackrel{\measuredangle A}{(2x-40)}+\stackrel{\measuredangle C}{(284-3x)}=180\implies -x+244=180
\\\\\\
64=x\\\\
-------------------------------\\\\
\measuredangle A=2(64)-40
8 0
3 years ago
Read 2 more answers
What is negative 32 equals six m minus two?
Ber [7]
The variable m should equal -5
6 0
3 years ago
If the world's population increased exponentially from billion in 1998 to billion in 2008 and continued to increase at the same
Gelneren [198K]

Answer:

The answer is "7.122 billion"

Step-by-step explanation:

Please find the complete question in the attached file.

Using formula:

\to y=Ce^{kt}  

C=5.937\\\\y=6.771\\\\t=10\\\\ k=?6.771=5.937e^{10k}\\\\1.1405=e^{10k}\\\\\ln(1.1405)={10\ k}\\\\0.013={k}\\\\

So,  

\to y=5.937e^{.013t}\\\\

when it becomes 2012, \ t=14 so plug the value into the formula  

\to y= 5.937e^{.013(14)} =7.122 \ billion

7 0
3 years ago
What is the sum of 4/10 + 55/100
neonofarm [45]
4/10 = 40/100

40/100 + 55/100 = 95/100

95/100 is your answer

simplest form: 19/20

hope this helps
4 0
3 years ago
Read 2 more answers
What is the slope of the line passing through the points (4,3) and (1,-2​
Feliz [49]

Answer:

8/5

Step-by-step explanation:

7 0
3 years ago
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