<span>(3a^2 - 2a + 4) - (a^2 - 3a + 7) = (distribute the negative sign)
3a^2 - 2a +4 - a^2 + 3a - 7 = (add like terms)
2a^2 + a - 3
So, the answer is A!
</span>
Answer:
84 m²
Step-by-step explanation:
A= h(a+b)/2 = 7(8+16)/2 = 84
Answer: 4/5
1/5 worksheet is done for every 1/4 hour
1/4 = 1/5
2/4 =2/5
3/4 = 3/5
4/4 = 4/5
Answer:
Sum of the sequence will be 648
Step-by-step explanation:
The given sequence is representing an arithmetic sequence.
Because every successive term of the sequence is having a common difference d = -3 - (-9) = -3 + 9 = 6
3 - (-3) = 3 + 3 = 6
Since last term of the sequence is 81
Therefore, by the explicit formula of an arithmetic sequence we can find the number of terms of this sequence

where a = first term of the sequence
d = common difference
n = number of terms
81 = -9 + 6(n - 1)
81 + 9 = 6(n - 1)
n - 1 = 
n = 15 + 1 = 16
Now we know sum of an arithmetic sequence is represented by

Now we have to find the sum of the given sequence
![S_{16}=\frac{16}{2}[-9 + (16-1)6]](https://tex.z-dn.net/?f=S_%7B16%7D%3D%5Cfrac%7B16%7D%7B2%7D%5B-9%20%2B%20%2816-1%296%5D)
= 8[-9 + 90]
= 8×81
= 648
Therefore, sum of the terms of the given sequence will be 648.