3(x+6)=-24
Divide both sides by 3
3(x+6)/3=-24/3
X+6=-8
X=-14
Answer:
5.14 km
Step-by-step explanation:
A semicircle is 1/2 of a circle so the perimeter is just 1/2 of the circumference
C = 2 * pi r for a circle so for a semicircle
1/2* 2* pi *r
pi*r
3.14 * 1
3.14
If we want to include the piece that closes the semicircle, we need to add the diameter
d = 2r = 2(1) = 2
2+3.14 = 5.14
Answer:
When both integers have the same value, the difference is zero. The difference between a positive and a negative integer can be positive or negative. When you subtract a negative integer from a positive integer, the difference is always positive this might help
Answer:
no
Step-by-step explanation:
no input can have diffrent outputs if you change the input values then yes it is a function hope this helps god bless
(a) Take the Laplace transform of both sides:
where the transform of 
comes from
![L[ty'(t)]=-(L[y'(t)])'=-(sY(s)-y(0))'=-Y(s)-sY'(s)](https://tex.z-dn.net/?f=L%5Bty%27%28t%29%5D%3D-%28L%5By%27%28t%29%5D%29%27%3D-%28sY%28s%29-y%280%29%29%27%3D-Y%28s%29-sY%27%28s%29)
This yields the linear ODE,
Divides both sides by 
:
Find the integrating factor:
Multiply both sides of the ODE by 
:
The left side condenses into the derivative of a product:
Integrate both sides and solve for 
:
(b) Taking the inverse transform of both sides gives
![y(t)=\dfrac{7t^2}2+C\,L^{-1}\left[\dfrac{e^{s^2}}{s^3}\right]](https://tex.z-dn.net/?f=y%28t%29%3D%5Cdfrac%7B7t%5E2%7D2%2BC%5C%2CL%5E%7B-1%7D%5Cleft%5B%5Cdfrac%7Be%5E%7Bs%5E2%7D%7D%7Bs%5E3%7D%5Cright%5D)
I don't know whether the remaining inverse transform can be resolved, but using the principle of superposition, we know that 
is one solution to the original ODE.
Substitute these into the ODE to see everything checks out:
