Answer:
12 is the answer.
Step-by-step explanation:
The best way to get the roots of the equation is to factorize the equation but when the factors are not possible then we should apply the quadratic equations formula to get the value of x.
Now we will try to factorize
x² - 8x -48 = 0
Now we multiply coefficient of highest degree term and constant term
48×1 = 48 which may be factored in 12×4. 8×6, 24×2.
Now we will choose 12×4 out of three because the 12-4 = 8 which is the coefficient of x.
Now its simple.
x²-12x + 4x -48 = 0
x(x -12) + 4(x-12) = 0
(x +4)(x-12) = 0
Therefore roots are x + 4 = 0
x = -4
and x - 12 = 0
x = 12
So the answer is 12.
Answer: The answer is 
Step-by-step explanation: Given that the area of the whole circle is represented by the expression

We are to find the area of the outer ring of the circle, i.e., to find the circumference of the circle.
Now, if 'r' represents the radius of the circle, then we have

Thus, the area of the outer ring is

For this case what you should do is create the equation based on:
"She knows that the volume of the container is equal to one-third of the product, the square of the radius of the base of the container, and the height of the container"
We have then that the Volume is given by:
V = (1/3) * (r ^ 2) * (h)
where,
r: radius of the base.
h: height of the container.
answer
The volume of the container is calculated with the following equation:
V = (1/3) * (r ^ 2) * (h)
Scale factor is:
factor = (new length) / (old length)
Ivan correctly inserted numbers and correctly divided these two numbers by 5.
There is no error in the shown picture.
<span>4x2 +5x - 2 -x2 +3x +5
Simplified: 3x2 + 8x +3
In order to determine the difference in size, you must subtract the perimeter of the smaller rectangle from the perimeter of the larger rectangle.</span>