The characteristic solution follows from solving the characteristic equation,
so that
A guess for the particular solution may be
, but this is already contained within the characteristic solution. We require a set of linearly independent solutions, so we can look to
which has second derivative
Substituting into the ODE, you have
Therefore the particular solution is
Note that you could have made a more precise guess of
but, of course, any solution of the form
is already accounted for within
.
9.21 - (-5.51)
9.21 + 5.51 = 14.72
The distance is 14.72
It is 7 , 21
That’s the answer
Explenatkon.
Answer:
41.5 ft
Step-by-step explanation:
From the information given, and definition of midpoint, we know that:
AB = BC = ½ AC
AC = CE = ½ AE
CD = DE = ½ CE
GF = FE = ½ GE
HG = GE = ½ HE
AI = IH = ½ AH
AJ = JI = ½ AI
We also know:
AH = 20
HE = 14
GD = 4
Therefore:
AI = IH = 10
HG = GE = 7
AJ = JI = 5
GF = FE = 7/2
Next, since JB and IC are parallel with HE, we know that AJB and AIC are similar to AEH. So:
JB / 5 = 14 / 20
JB = 7/2
IC / 10 = 14 / 20
IC = 7
And since DF and CG are parallel to AH, then DFE and DGE are similar to AHE. So:
DF / (7/2) = 20 / 14
DF = 5
CG / 7 = 20 / 14
CG = 10
Next we know that AIB and AHC are similar, and DEG and CEH are similar.
IB / 10 = CH / 20
CH / 14 = 4 / 7
CH = 8, IB = 4.
We've found all the lengths inside triangle AEH. Adding them up:
JB + IB + IC + CH + CG + DG + DF
7/2 + 4 + 7 + 8 + 10 + 4 + 5
41.5
The total length of the inside bars is 41.5 ft.
Answer:
22.5
Step-by-step explanation:
All of the angles inside the triangle equals 180. Therefore, the equation is x+2x+5x=180. Then, you solve for x. The final equation should look like 8x=180 And that is how we get.22.5
