Answer:
y+3x+11=0
Step-by-step explanation:
m=-3, x1=-4, y1=1
from m=y-y1/x-x1
-3=y-1/x-(-4)
-3(x+4)=y-1
-3x-12+1=y
y=-3x-11
y+3x+11=0
Check the picture below.
so, the hyperbola looks like so, clearly a = 6 from the traverse axis, and the "c" distance from the center to a focus has to be from -3±c, as aforementioned above, the tell-tale is that part, therefore, we can see that c = 2√(10).
because the hyperbola opens vertically, the fraction with the positive sign will be the one with the "y" in it, like you see it in the picture, so without further adieu,

Answer:
cost = 1.35n
$33.75 for 25 songs
Step-by-step explanation:
Based on the numbers given, the cost is proportional to the number of songs downloaded. The constant of proportionality is the cost of one song: 1.35.
cost = 1.35n
For 25 songs, ...
cost = 1.35·25 = 33.75 . . . . dollars
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The equation is ...
cost = 1.35n
Answer:
Step-by-step explanation:
To prove: The sum of a rational number and an irrational number is an irrational number.
Proof: Assume that a + b = x and that x is rational.
Then b = x – a = x + (–a).
Now, x + (–a) is rational because addition of two rational numbers is rational (Additivity property).
However, it was stated that b is an irrational number. This is a contradiction.
Therefore, the assumption that x is rational in the equation a + b = x must be incorrect, and x should be an irrational number.
Hence, the sum of a rational number and an irrational number is irrational.