Answer:

Step-by-step explanation:
y′′ + 4y′ − 21y = 0
The auxiliary equation is given by
m² + 4m - 21 = 0
We solve this using the quadratic formula. So

So, the solution of the equation is

where m₁ = 3 and m₂ = -7.
So,

Also,

Since y(1) = 1 and y'(1) = 0, we substitute them into the equations above. So,


Substituting A into (1) above, we have

Substituting B into A, we have

Substituting A and B into y, we have

So the solution to the differential equation is

20✔️3 + 4✔️27
20✔️3 + 4✔️9 • 3
20✔️3 + 4 • 3 ✔️3
20✔️3 + 12✔️3
32✔️3.
The solution is 32✔️3.
Answer: Yes by SAS
Why: they have two equal sides makes by the dashes and two 90 degree angles in the same places on both triangles meaning that the other side next to the 90 degree angle had to be equal as will
Hope this helps :D
your answer would be 18,100.
35,768-17,652= 18,116
and you have to round so you get
18,100
Answer:
1/4
Step-by-step explanation:
Count all of the vowels (this will be your numerator):
A and E
2
Count all of the letters (this will be your denominator):
A, B, C, D, E, F, G, and H
8
Write this as a fraction:
2/8
Simplify:
2/8 = 1/4