Answer:x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':
Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7
Answer:
2:5
Step-by-step explanation:
Answer:
Required solution is
where A and B are constants.
Step-by-step explanation:
Given nonhomogenous differential equation is,
with 
To find another solution, consider
be such that,

Hence,
where A and B are constants.
Let



Hence,
where A and B are constants.
which is required solution.
Given:
The geometric sequence is:

To find:
The 9th term of the given geometric sequence.
Solution:
We have,

Here, the first term is:

The common ratio is:




The nth term of a geometric sequence is:

Where, a is the first term and r is the common ratio.
Substitute
to find the 9th term.




Therefore, the 9th term of the given geometric sequence is 5103.