<h2>(x, y) = (21/13 , 84/13)</h2>
Step-by-step explanation:
x + 3y = 21
- 4x + y = 0
y = 4x
<h2>_____________</h2>
x + 3y = 21
x + 3(4x) = 21
x + 12x = 21
13x = 21
x = 21/13
y = 4x
y = 4 (21/13)
y = 84/13
(x, y) = (21/13 , 84/13)
It was stated in the problem that a given volume of a is inversely proportional with the pressure of the system. It means that the as the volume increases, the pressure would decrease and as the volume decreases, the pressure would increase. We would express it as:
V α 1/P
To change it to an equality, we introduce a proportionality constant, k. We do as follows:
V = k/P
So, to determine what is asked, we need to first calculate for the value of k.
V = k/P
At V = 160 m^3 P = 108 cmHg
160 = k / (108)
k = 17280
Thus, at P = 87 cmHg
V = 17280 / 87
V = 198.62 m^3
Answer:
Step-by-step explanation:
If the equation of the of the hyperbola is , then the eccentricity, and the directrices are and the foci are (± ae,0).
Now, given that ae = 4 and ......... (1)
So,
⇒ a² = 8
⇒ a = 2√2 units.
Now, from equation (1) we get, ae = 4
⇒ e = √2 as a = 2√2
Now,
⇒
⇒ b² = 8
Hence, the equation of the hyperbola is
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Answer:
m = 15
Step-by-step explanation:
m + 14 = 29
Subtract the 14...
m = 15
I hope this helps :)
