Answer:
y = (x + 6)² - 1
Step-by-step explanation:
So there are two ways of doing it, completing the square or partial factoring (which is what i prefer and will show)
so we will get x first:
x^2+12x
We are factoring x
x(x+12)
Now you do x=-12/2
x=-6
Now that you have x, you plg that back into the equation to get y
y= -6^2 +12(-6) +35
= 36-36+35
=-1
Put into vertex form
y = (x + 6)² - 1
Answer:
57mm
Step-by-step explanation:
C=2(pi)(r)
C=2(3.14)(9)
C=56.52
rounding up, its 57mm
Using the Fundamental Counting Theorem, it is found that there are 416,520 ways to fill out a lottery ticket.
<h3>What is the Fundamental Counting Theorem?</h3>
It is a theorem that states that if there are n things, each with
ways to be done, each thing independent of the other, the number of ways they can be done is:

In this problem:
- First, one uppercase or lowercase letter is chosen, there are 26 of each, hence
.
- Then, two different two-digit numbers are chosen, and there are 90 of them, hence
, as the third digit has to be different of the second.
Then:

There are 416,520 ways to fill out a lottery ticket.
To learn more about the Fundamental Counting Theorem, you can take a look at brainly.com/question/24314866
Answer:
Step-by-step explanation:
20 is 8x8^5=262144 (8x8)^5= 1073741824 so they are not the same
21 is (3^2)^-3 = 0.001372 (3^3)^-2=0.001372 THEY ARE NOT THE SAME
okay thats
all i got its a bit hard to read for me sorry
Answer:
The capacity of bucket is 16 liters
Step-by-step explanation:
Let j be the quantity of water in the jug
Then

Let B be the quantity of water held by the bucket
Then t is given that the bucket holds 20 times of water than the jug

Putting the value of j

We also know that
1 liter = 1000 ml
In order to convert ml into liters, we have to divide the quantity by 1000

Hence,
The capacity of bucket is 16 liters