Answer:
Step-by-step explanation:
We have a geometric sequence with:
, 
, and 
Where
Sn is the sum of the sequence
r is the common ratio
is the first term in the sequence
n is the number of terms in the sequence
The formula to calculate the sum of a finite geometric sequence is:
Then:
Now we solve for
We shall use the formula for distance traveled:
s = ut + (1/2)at^2
where
u = initial velocity
t = time
a = acceleration.
Because
u = 0 (car starts from rest),
t = 10 s (travel tme),
a = 2 m/s^2 (acceleration), m
the di mstance traveled is
s = (1/2)*(2 m/s^2)*(10 s)^2 = (1/2)*2*100 = 100
Answer: 100 m
The point through which the same line is passing will be (9,13) so option (C) will be correct.
<h3>What is a line segment?</h3>
A line section that can connect two places is referred to as a segment.
A line segment is just part of a big line that is straight and going unlimited in both directions.
The line is here! It extends endlessly in both directions and has no beginning or conclusion.
The equation of any line with slope m can be given as
y = mx + c
Given,
slope m = 1/2
Point of passing (-7, 5)
So,
5 = -7/2 + c ⇒ c = 17/2
So the equation will be,
y = x/2 + 17/2
2y = x + 17
Now checking all points (9,13) is satisfying.
2(13) = 9 + 17
26 = 26
Hence point (9,13) is passing through the line.
For more about line segment
brainly.com/question/25727583
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