Answer:
Proxima Centauri is 2.478 x 10¹³ miles from Sun.
Explanation:
Distance of Proxima Centauri to sun = 4.24 light years
1 light year = 5.9 x 10¹² miles.
Distance of Proxima Centauri to sun in miles = Distance in light years x 5.9 x 10¹² miles
So, Distance of Proxima Centauri to sun in miles = 4.2 x 5.9 x 10¹² miles
= 2.478 x 10¹³ miles
So Proxima Centauri is 2.478 x 10¹³ miles from Sun.
Raíz cuadrada de 864
Para resolver este problema debemos tomar en cuenta los datos que nos dan y la ecuación de una hipérbola. Comencemos con los datos:
The general equation of ellipse is given as, x2a2+y2b2=1 x 2 a 2 + y 2 b 2 = 1 , where, a is length of semi-major axis and b is length of semi-minor axis.
centro: (0,0)
focus : (0, -√28) , (0, √28)
eje conjugado = 2√3
por los focos podemos ver que la hipérbola se dirige hacia el eje y, por lo que debemos tomar la siguiente forma de la ecuación de la parábola:
de los focos podemos obtener que: √28
y del eje conjugado podemos saber que al dividir la longitud del eje conjugado dentro de 2 obtenemos b, así que:
b = √3
podemos utilizar la siguiente fórmula para obtener a:
si despejamos a en la ecuación obtenemos lo siguiente:
ahora podemos sustituir los valores:
a=5
así que media vez conozcamos a, podemos sustituir los datos en la ecuación de la hipérbola así que obtenemos lo siguiente:
si graficamos la hipérbola, queda como en el documento adjunto.
To learn more hipérbola
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Answer: The required number of ways is 25401600.
Step-by-step explanation: Given that seven men and seven women line up at a checkout counter in a store.
We are to find the number of ways in which they can line up, if the first person in line is a man , and the people in line alternate man, woman, man, woman and so on.
Since the first person is a man, so
for first position, we have 7 options.
There are alternate man and women in the line, so the second person must be a women.
That is, we have 7 options for the second position.
Similarly, for 3rd and 4th positions, we have 6 options for each, and so on.
Therefore, the number of ways in which the 14 persons can line up is

Thus, the required number of ways is 25401600.
Answer:
Step-by-step explanation:
8x - 20.....factor a 4 out
4(2x - 5) <=== this one is correct...not 100% sure who wrote it
8x - 20...factor out a 2
2(4x - 10) <==== this is correct
8x - 20....factor out a -2
-2(-4x + 10) <==== this is correct
8x - 20....factor out a -4
-4(-2x + 5).....nobody did this one......but somebody tried....that person didn't factor correctly