The first term of this series (a+1) is 1 and the common ratio (r) is -3.
Thus, the explicit formula is a_n = 1*(-3)^(n-1).
Must check this! suppose we try to calculate the 3rd term. Then n = 3.
a_3 = 1*(-3)^(3-1) = (-3)^2 = 9. This is correct.
It would take 4 hours for both trains to meet.
Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let t represent the time at which both trains meet, and d represent the distance covered by train A, hence:
For train A:
100 = d / t
t = d/100
For train B:
200 = (1200 - d) / t
t = (1200 - d) / 200
d/100 = (1200 - d)/200
2d = 1200 - d
3d = 1200
d = 400 km
t = 400 / 100 = 4 hours
It would take 4 hours for both trains to meet.
Find out more at: brainly.com/question/22610586
Answer:
16. y=-5x-20; 17. y=6x+18, or factored y=6(x+3)
Step-by-step explanation:
Your slope is -5
y=-5x+b, solve for b by pluging the point (-3,-5) in for x and y
-5=-5(-3)+b, solve for b
-20=b, now rewrite the equation
y=-5x-20
Your slope is 6
y=-5x+b, solve for b by pluging the point (-3,-0) in for x and y
0=6(-3)+b, solve for b
18=b, now rewrite the equation
y=6x+18, or factored y=6(x+3)
Let b=height of building. By similar triangles we can say:
b/44.75=3.1/1.29
b=44.75*3.1/1.29
b≈107.54
b≈108 meters (to the nearest whole meter)
Answer:
Some answers to the reducing fraction sheet
Q14 = 4/5 because divide 12 and 15 by 3
Q15=can't be reduced because 11 is a prime number so it can't be divided by anything
Q17=can't be reduced because 17 is a prime number
Q18=can't be reduced because 13 is a prime number
Q19=38/9 because 114 and 27 would be divided by 3
Q20= -1/1 because you would divide both 14,529 by itself would equal to - 1/1
I can only help you with this sheet I can't help you with the other one hope this was helpful! :)
