the first term is 2 and the 20th term is 1048576 .
<u>Step-by-step explanation:</u>
Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:
We know that Sum of a GP is :
⇒ 
So ,Sum of first 12 terms is :
⇒ 
⇒ 
⇒ 
⇒ 
Now , nth term of a GP is
⇒ 
So , 20th term is :
⇒ 
⇒ 
⇒ 
Therefore , the first term is 2 and the 20th term is 1048576 .
Well, lets start with #3!
<1 is equivalent to <3 because they are vertical angles.
This means that <2 and <4 are congruent because they are vertical angles. We know that a straight line is 180 degrees. So, <1 and <2 added together will equal 180, therefore, <2 is ___________
Since the two lines are parallel, any angle on the other side is congruent, as long as that angle is in the same place as the other. So, we can see that <1 and <7 are in the same place, just moved down. So, <7 is __________.
Answer:
2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
Here [ a, b ] = [ 0, 2 ], thus
f(b) = f(2) = -(2)² + 4)(2) + 2 = - 4 + 8 + 2 = 6
f(a) = f(0) = 2
average rate of change = 
= 
= 2
Answer:
y - 2x = 3
Step-by-step explanation:
y = 2x + 3
-2x -2x
y - 2x = 3
Answer:
To solve this I would multiply both sides by 3
Step-by-step explanation:
i would use the multiplication property of equality
