Make a proportion
6/18 = 10/z
Cross multiply
180 = 6z
180/6 = z
Z = 30
The coordinates of the point intersection of lines (-1, -1)
If you want solve:
y = -2x - 3, y = 3x + 2
-2x - 3 = 3x + 2 |+3
-2x = 3x + 5 |-3x
-5x = 5 |:(-5)
x = -1
Put the value of x to the first equation:
y = (-2)(-1) - 3 = 2 - 3 = -1
x = -1, y = -1
The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4
To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
![y= \sqrt[5]{Bx+C}](https://tex.z-dn.net/?f=y%3D%20%5Csqrt%5B5%5D%7BBx%2BC%7D%20)
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7+ (-5) = 2.
Therefor, 4^2 would be the right answer.
I believe this is how that exponential function would look as a graph (if you need a better pic let me know)