<h3>Answer:</h3>
3a² - 24ab + 48b² = 3 ( a - 4b )²
<h3>Step-by-step explanation:</h3>
<u>We will start by rewriting the given quadratic polynomial,</u>
3a² - 24ab + 48b²
<u>Taking out the common "3",</u>
=> 3 ( a² - 8ab + 16b² )
<u>Splitting the middle term i.e. " - 8ab " appropriately,</u>
=> 3 ( a² - 4ab - 4ab + 16b² )
=> 3 [ a ( a - 4b ) - 4b ( a + 4b ) ]
=> <u>3 ( a - 4b ) ( a - 4b )</u>
<u>Hence, option C is correct.</u>
Volume of a cylindrical can = pi r^2 h
We are given that h = 4r , so substituting for h in the above formula:-
Volume = pi * r^2 * 4r = 4pir^3 <---- the answer to Part a.
h = 4r so r = h/4
Substituting for r:-
Volume = pi * (h/4)^2 * h = pi h^3/16 <------- Answer to part b.
Answer:
15
Step-by-step explanation:
Ok so first you need to know how to calculate the volume of a cylinder
I will put the formula here: V=πr2h
Since pi is equal to 3.14 as said in the problem we can simply divide 282.6 by pi, the radius and 2
That is equal to 282.6/3.14*3*2
A little calculation shows that, the answer is 15
Hope this helps :)
So the equation of the red graph is already given to us: 
. I assume you meant the blue graph?
We can use the vertex form: 
, where 
is the vertex. (We can ignore 
because is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).
The vertex for 
is at 
on the coordinate plane. (4 left, 2 down)
Plug into the vertex form:
The double negative becomes a positive, and then you're done:
