Solution: the second number is 90
Step by step solution:
A=A
B=5A
C=5A-13
A+5A+5A-13=185
11A-13=185
11A=198
A=18
A=18
B=90
C=77
Hope that helps :)
Given a solution

, we can attempt to find another via reduction of order of the form

. This has derivatives


Substituting into the ODE yields



Now letting

, so that

, you end up with the ODE linear in


Assuming

(which is reasonable, since

is a singular point), you can divide through by

and end up with

and integrating both sides with respect to

gives

Back-substitute to solve for

:

and again to solve for

:


Alternatively, you can solve this ODE from scratch by employing the Euler substitution (which works because this equation is of the Cauchy-Euler type),

. You'll arrive at the same solution, but it doesn't hurt to know there's more than one way to solve this.
Figure out the weight of the glass by first figuring out the area of the sides.
There are four sides. Each side is a triangle with height 2ft and base 2ft. So the area of one of the triangles is 2 ft^2.
There are four sides, so there is a total of 8 ft^2. Each ft^2 weighs 2.45 pounds, for a total of 8*2.45 = 19.6 pounds
Since the chain can support up to 35 pounds, then the chain can support the light cover easily.
Answer: n=8 cm
Step-by-step explanation:
You can solve this problem by applying the "Intersecting chords theorem". You must follow the proccedure below:
1. Let's represent each length, as below:
(P will be the point of intersection)
AP=4 cm
CP=6 cm
DP=3 cm
BP=n
2. Therefore, you have:
APxCP=BPxDP
APxCP=nxDP
3. Now, you must clear "n", as below:
n=APxCP/DP
4. When you substitute each value into n=APxCP/DP, you obtain:
n=(4 cm)(6 cm)/3 cm
n=24 cm²/3 cm
5. Finally, the result is:
n=8 cm