Answer:
x=4, y=2
Step-by-step explanation:
2x - y = 6
x + y = 6
Add these together to eliminate y
2x - y = 6
x + y = 6
-----------------
3x = 12
Divide by 3
3x/3 = 12/3
x=4
But we still need y
x+y =6
4+y =6
Subtract 4 from each side
4+y-4 = 6-4
y=2
The sum of the angles in a triangle is 180, so the equation will be :
2k+k+45= 180
add similar variables
3k+45=180
3k=135 (divide each side by 3)
k= 45
So 2k equals= 90
k=25
This is right angle triangle for your info!
Answer:
The required recursive formula is:

Step-by-step explanation:
We are given a geometric sequence as:
6,-18,54,-162,.....
Clearly after looking at different terms of the sequence we could observe that the sequence is an geometric progression (G.P.) with common ratio= -3 denoted by r.
Let
represents the nth term of the sequence.
This means that:

As the common ratio is -3.
so,

Hence, the required recursive formula for the geometric sequence is:

Given:

And

Required:
To find the two possible values of c.
Explanation:
Consider

So

And also given

Now from (1) and (2), we get


Now put a in (1) we get

We can interpret that either of a or b are equal to 3 or 5.
When a=3 and b=5, we have

When a=5 and b=3, we have

Final Answer:
The option D is correct.
31 and 41