The answer to this question is c=3
Answer:
<1 and <8 are alternate exterior angles
Step-by-step explanation:
Alternate means on the opposite side of the transversal
Exterior means outside the parallel lines
<1 and <8 are alternate exterior angles
Answer:
3000 feets
Step-by-step explanation:
Given that :
Initial Ascent to steady altitude = 35,000 feets
Descent to steady altitude = 32,000 feets
Number of feets the plane descend :
(Initial ascent to steady altitude - descent to steady altitude)
(35000 - 32000) feets = 3,000 feets
The ODE is separable:
![3y\,\mathrm dx+(xy+5x)\,\mathrm dy=0\implies x(y+5)\,\mathrm dy=-3y\,\mathrm dx\implies\dfrac{y+5}y\mathrm dy=-\dfrac3x\,\mathrm dx](https://tex.z-dn.net/?f=3y%5C%2C%5Cmathrm%20dx%2B%28xy%2B5x%29%5C%2C%5Cmathrm%20dy%3D0%5Cimplies%20x%28y%2B5%29%5C%2C%5Cmathrm%20dy%3D-3y%5C%2C%5Cmathrm%20dx%5Cimplies%5Cdfrac%7By%2B5%7Dy%5Cmathrm%20dy%3D-%5Cdfrac3x%5C%2C%5Cmathrm%20dx)
Integrating both sides gives
![\displaystyle\int\left(1+\frac5y\right)\,\mathrm dy=-3\int\frac{\mathrm dx}x\implies y+5\ln|y|=-3\ln|x|+C](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint%5Cleft%281%2B%5Cfrac5y%5Cright%29%5C%2C%5Cmathrm%20dy%3D-3%5Cint%5Cfrac%7B%5Cmathrm%20dx%7Dx%5Cimplies%20y%2B5%5Cln%7Cy%7C%3D-3%5Cln%7Cx%7C%2BC)