There are 2 options to solve that.
1. The first one is by derivatives.
f(x)=x^2+12x+36
f'(x)=2x+12
then you solve that for f'(x)=0
0=2x+12
x=(-6)
you have x so for (-6) solve the first equation, then you find y
y=(-6)^2+12*(-6)+36=(-72)
so the vertex is (-6, -72)
2. The second option is to solve that by equations:
for x we have:
x=(-b)/2a
for that task we have
b=12
a=1
x=(-12)/2=(-6)
you have x so put x into the main equation
y=(-6)^2+12*(-6)+36=(-72)
and we have the same solution: vertex is (-6, -72)
For next task, I will use the second option:
y=x^2-6x
x=(-b)/2a
for that task we have
b=(-6)
a=1
x=(6)/2=3
you have x so put x into the main equation
y=3^2+(-6)*3=(--9)
and we have the same solution: vertex is (3, -9)
Answer:
The ratio of how much they have watched to how much they have left to see is 4 : 1.
Step-by-step explanation:
Consider that the total duration of the film is, 1.
It is provided that James and Cameron paused when there is one-fifth left to watch.
That is, they have already watched,
th of the film.
Compute the ratio of how much they have watched to how much they have left to see as follows:

Thus, the ratio of how much they have watched to how much they have left to see is 4 : 1.
The fish market sell 16 pound of fish and 12.5 pound of lobster.
The area of a square is 144 cm^2. The measurement of each side is 12 cm
<u>Solution:</u>
Given, The area of a square is 144 
We have to find that what is the measurement of each side.
Now, we know that, area of a square = product of side value with another side value.
Let the side value of given square be "s"
Then, <em>Area of square is given as:</em>

On cancelling square root and square on right side,we get
s = 12
Hence, the side value of the square is 12 cm.
Answer:
a is vertical and b is adjacent angles