Answer:
Step-by-step explanation:
1)4.5m+4.7=20m+47
4.5m-20m=47-4.7
-15.5m=42.2
m=-2.72
2)14+21w=7(2+3w)
41+21w=14+21w
21w-21w=14-41
3)49r+35=7(7r+35)
49r+35=49r+245
49r-49r=245-35
4)9(8h-3)=72h-27
72h-27=72h-27
72h-72h=-27+27
5)5.2+5.3t=10+15t
5.3t-15t=10-5.2
-9.7t=4.8
t=4.8/-9.7
t=0.49
6)6f+3.111=18f-33
6f-18f=-33-3.111
-12f=-36.111
f=-36.111/-12
f=3.01
Answer:
905 is the perimeter
and the triangular prism is 46
Step-by-step explanation:
mark me BRAINLIEST
Answer:
I'm not answering your question but I wanted to tell y'all to have a good day!<3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Use the slope formula.
Solve.
- <u>Therefore, the slope is 2, which is our answer.</u>
I hope this helps. Let me know if you have any questions.
Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
