Answer:
y = (x+4)^2 +13
Step-by-step explanation:
y=x^2+8x+29
To complete the square take the coefficient of the x term
8
Divide by 2
8/2 =4
Then square it
4^2 =16
y=x^2+8x+16+13
= (x^2+8x+16) +13
= (x+4)^2 +13
Tina would have completed 5 shirts as 80÷8 is 10 and if you split ten shirts between the 2 of them, they each complete 5 shirts
20%
This is because 20 and it's opposite -20 is 40. (20 - -20 = 40). Then 40 is 20% of 200.
Answer:
16 pi cubic units
Step-by-step explanation:
Given that a region is bounded by
And the region is rotated about x axis.
We can find that here radius would be y value and height would be dx
So volume would be as follows:
If f(x) is rotated about x axis volume
= 
cubic units.
Answer: What you would have left is 12 pieces of pie
Step-by-step explanation: As stated in the question, one pie has been sliced into 8 pieces, and there are three pies in all. That means we had at the beginning 3 x 8 slices of pie which equals 24 pieces.
Also if each pie had been sliced into 8 pieces then each can be represented as 8/8. Therefore eating one slice would leave you with 7/8 (that is 8/8 minus 1/8).
So, each of the three pies now have the following left overs;
1/2, 3/8 and 5/8.
Adding them all together would give,
1/2 + 3/8 + 5/8
Using 8 as the common denominator
4/8 + 3/8 + 5/8
(4 + 3 + 5)/8
12/8.
Therefore, there would be 12 pieces left altogether, which can also be expressed as one pie and 4 pieces.
