Answer:
F(t)
Step-by-step explanation:
We have given 
Now 
Here 
Now first find the Laplace inverse of G(S)
Using partial fraction


On comparing the coefficient
and
On putting the value of A and B

Taking inverse Laplace

Now in G(s) there is onether term 
So F(t)
It must be an obtuse triangle
Answer:
a₆ = 6
Step-by-step explanation:
There is a common ratio r between consecutive terms in the sequence, that is
r =
=
=
= - 
This indicates the sequence is geometric.
To obtain any term in the sequence, multiply the previous term by r, thus
a₅ = 216 × -
= - 36
a₆ = - 36 × -
= 6
Are you solving for x or y?
X + y = 85
2x + 4y = 218
x = 85 - y
<span>2(85 - y) + 4y = 218 </span>
<span>170 - 2y + 4y = 218 </span>
<span>170 + 2y = 218 </span>
<span>2y = 48 </span>
<span>y = 24 </span>
<span>x = 61</span>