Answer:
The displacement is: - 80 i
Step-by-step explanation:
In order to answer the question, you have to apply the displacement formula, which is:
ΔX= Xf-Xi
Where ΔX is the displacement, Xf is the final position and Xi is the initial position. The formula represents the change in the position of an object from the origin.
Let the origin be in 0 km,with the x-axis positive to te right.
Notice that the displacement is a vector. The positions are:
Xf=163 km (i)
Xi= 243 km (i)
Because John starts in 243 km and finishes in 163 km.
Where i is the unit vector in the x direction.
Therefore:
ΔX= 163 i - 243 i
Solving:
ΔX= -80 i
Notice that for calculating the displacement you just need the initial and final position. It doesn't depend on the distance traveled.
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 .
I hope this helps you
slope=1-2/2-(-3)
slope = -1/5
y-(-3)= -1/5 (x-2)
y+3= -1/5 (x-2)
