<h2>Steps</h2>
- Standard Form Equation: f(x) = ax² + bx + c
So firstly, since (0,5) is one of our values we can plug it into the standard form equation to solve for the c variable (since 0 will cancel out the a and b variable):

Now we know that the value of c is 5. Next, plug in (-1,12) into the standard form equation and simplify (remember to also plug in 5 for the c variable):

Next, plug (2,15) into the standard form equation and simplify:

Now, with our last two simplified equations we will create a system of equations:

Now, I will be using the elimination method with this system. With the system, add up the equations together and you will get:

From here, we can solve for the a variable. With it, just divide both sides by 3:

Now that we know the value of a, plug it into either equation to solve for the b variable:

<h2>Answer</h2>
Putting all of our obtained values together, your final answer is:

Answer:
36 centimeters.
Step-by-step explanation:
1. To solve this problem you must find the Greatest common factor.
2. List the prime factor of 108 and 72:

3. Now, you must choose the common prime numbers with the lowest exponents and multiply them:

Answer: Can we see a picture
Step-by-step explanation:
Answer:
-24
Step-by-step explanation:
3*8 is 24
24 (-24)
I hope this was helpful I had the same one on my homework but my teacher gave the class the answer
Answer:
The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.
Step-by-step explanation:
Given that,
Radius = 9
According to figure,
Radius of cylinder = Radius of hemisphere
Center of cylinder base is also center of sphere.
Circular top of cylinder touching the top of hemisphere.
So, Height of cylinder = radius of hemisphere


Hence, The radius and height of the cylinder of maximum volume is 9 unit and 9 unit.