<em>- What two consecutive odd integers have a sum of 48</em>?
23 + 25 = 48
- <em>Two negative consecutive integers have a sum of -45. What are the integers?
</em>
<em />-22 + -23
- <em>The sum of two consecutive integers 75. What are the two integers?</em>
37 + 38 = 75
- <em>What <u>three</u> consecutive odd integers have a sum of 81?
</em>
<em />25 + 27 + 29 = 81
Hope I could help! Have a good one. I believe that is all of the unanswered questions. If I missed one, let me know!<em />
Answer:
y =
+ 
Step-by-step explanation:
y''- 9 y' + 18 y = t²
solution of ordinary differential equation
using characteristics equation
m² - 9 m + 18 = 0
m² - 3 m - 6 m+ 18 = 0
(m-3)(m-6) = 0
m = 3,6
C.F. = 
now calculating P.I.


hence the complete solution
y = C.F. + P.I.
y =
+ 
We want to solve 9a² = 16a for a.
Because the a is on both sides, a good strategy is to get all the a terms on one side and set it equal to zero. Then we apply the Zero Product Property (if the product is zero then so are its pieces and Factoring.
9a² = 16a
9a² - 16a = 0 <-----subtract 16a from both sides
a (9a - 16) = 0 <-----factor the common a on the left side
a = 0 OR 9a - 16 =0 <----apply Zero Product Property
Since a = 0 is already solved we work on the other equation.
9a - 16 = 0
9a = 16 <----------- add 16 to both sides
a = 16/9 <----------- divide both sides by 9
Thus a = 0 or a = 16/9
Answer:
not necessarily
Step-by-step explanation:
Taking the square root of both sides, you have ...
±a = ±b
Those four cases resolve to two unique cases:
a = ±b
The given equation will be true if a = b or if a = -b. If a and b are constrained to have the same sign, then a=b is the only solution.
Answer:
Step-by-step explanation:
Ok guys I’m really confused