1.so what you are going to do it add up all the sides but not just in any order you are going to add up the like terms so 2/3x+1/3x+2/3x+1/3x that adds up to be 2x and the add up 10+5+10+5 which equals 30 so there you go. Your perimeter= 2x+30
2. -2/3 has a repeating decimal
Answer:
4/25
Step-by-step explanation:
8/10 = 4/5
2/10 = 1/5
We can multiply these 2 events because they do not depend on each other.
1/5* 4/5 = 4/25
I know this is old question but i'd like to solve it :)
Integrate both sides with respect to <em>t</em> :
∫ d<em>y</em>/d<em>t</em> d<em>t</em> = ∫ -12<em>t</em> ² d<em>t</em>
<em>y(t)</em> = -4<em>t</em> ³ + <em>C</em>
Use the initial condition to solve for <em>C</em> :
5 = -4•0³+ <em>C</em>
<em>C</em> = 5
So
<em>y(t)</em> = -4<em>t</em> ³ + 5
and the answer is D.
Alternatively, you can directly apply the fundamental theorem of calculus:
![\dfrac{\mathrm dy}{\mathrm dt}=-12t^2\implies y(t)=y(0)+\displaystyle\int_0^t -12u^2\,\mathrm du](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dt%7D%3D-12t%5E2%5Cimplies%20y%28t%29%3Dy%280%29%2B%5Cdisplaystyle%5Cint_0%5Et%20-12u%5E2%5C%2C%5Cmathrm%20du)
![\implies y(t)=5-4u^3\bigg|_0^t](https://tex.z-dn.net/?f=%5Cimplies%20y%28t%29%3D5-4u%5E3%5Cbigg%7C_0%5Et)
![\implies y(t)=5-4t^3](https://tex.z-dn.net/?f=%5Cimplies%20y%28t%29%3D5-4t%5E3)