The temperature went from -12°F to 18°F. How much did the temperature change?
1 answer:
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Answer:
= n - 2
Step-by-step explanation:
Note the difference between consecutive terms is constant, that is
0 - (- 1) = 0 + 1 = 1
1 - 0 = 1
2 - 1 = 1
3 - 2 = 1
This indicates the sequence is arithmetic with n th term
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 1 and d = 1, thus
= - 1 + n - 1 = n - 2
Lets name the shortest piece a, the medium b and the longest c
Together they are 90inches
The longest is 30 inches longer than the shortest
The third piece is half the lenght of the longest
So if you place c=a+30 in the other 2 equasions you get
And
Now if you put this 2 toghether u get
Multyplied by 2
Meaning that a=18inches
Now that we have the lenght of a we put it in the previous equasion
So b=48/2 which means b=24inches
And together they must be 90 so
C=48inches
Together they are 90inches
The longest is 30 inches longer than the shortest
The third piece is half the lenght of the longest
So if you place c=a+30 in the other 2 equasions you get
And
Now if you put this 2 toghether u get
Multyplied by 2
Meaning that a=18inches
Now that we have the lenght of a we put it in the previous equasion
So b=48/2 which means b=24inches
And together they must be 90 so
C=48inches