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:
x = 15
5x + 55 = 2x +100, plug in 15 and they are equal
Answer:44.986
Step-by-step explanation:5,420x8.3=44,986
Answer:
54
Step-by-step explanation:
4x+7=18
subtracting 7 from both side of the equation
4x+7- 7=18 - 7
4x = 11
to find value of x , we divide both side of the equation by 4
4x/4 = 11/4 = 2.75
x = 2.75
now we plug in the found value of x = 2.75 in place of x in equation 12x+21
12*2.75 + 21 = 33 + 21 = 54
Thus, answer is 54
The perimeter of a circle is equal to 2πR, with R being the radius of the circle. The radius is equal to half the diameter, so R=2.6m. The perimeter you are looking for is equal to the length of half a circle plus the length of the diameter, so: P=πR+D=13.364m.
