Answer:
y = 2/3x
Step-by-step explanation:
So we know, when lines are perpendicular that they share the same slope. The slope in the equation of y = 2/3x + 7 is 2/3x. So, we have our slope. Now, we just need to find our b. We plug in the point that you gave us into the equation y = mx + b.
3 = 2/3(2) + b
we multiply the denominator 3 by 2, then divide that by the numerator 2.
3 = 3 + b
subtract 3 from itself and from the opposite side of the equal side 3.
0 = b
in the end, there is no b for this equation. Our answer is
y = 2/3x
Download photo math and it will let you take a picture of the equation and answer it for you
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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Answer:
9x - 45
Step-by-step explanation:
To simplify this expression, we need to use Distributive Property to get rid of the parentheses. So, we multiply the -9 by everything inside the parentheses.
-9(-x + 5)
-9 · -x = 9x
-9 · 5 = -45
Now we add our products together.
9x + -45
Since there is a '+' sign and a '-' sign next to each other, we can simplify it to just a '-'.
9x - 45
Hope this helped! Let me know if you have any other questions! :)
