Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the dimension of each prism is not given.
So, I will give a general explanation.
From the question, we understand each prism.
So, to get the new volume; we simply add up the volume of each prism.
For instance (we want to make assumptions)
Rachel

Timothy

Robyn

So, we have:

For each, we have:



The volume of the new


The dimension of new prism.
Using the assumed values, we have:



Now, we consider the measure of the sides
Sides with the same length will form a new side.
<u>Side 1</u>
--- Rachel
---- Timothy
--- Robyn
The above lengths have the same measure. So, one of the sides of the new prism will assume the value of this length.
So:
-- for the new prism
<u>Side 2</u>



The above lengths have the same measure. So, one of the sides of the new prism will assume the value of this length.
So:
-- for the new prism
<u>Side 2</u>
<u></u>
<u></u>

<u></u>
<u></u>
<u></u>
<u>For this, we simply add up each length.</u>
<u>So, we have:</u>
<u></u>
<u></u>
--- for the new prism
So, the new dimension is:





Answer:
F(2x+6)=-16x^3-144x^3-404x-356
Step-by-step explanation:
ANSWER
The required equation is:

EXPLANATION
The given equation is

Dividing through by 225 we obtain;

This is a hyperbola that has it's centre at the origin.
If this hyperbola is translated so that its center is now at (0,5).
Then its equation becomes:

We multiply through by 225 to get;

We now expand to get;


The equation of the hyperbola in general form is

Let f(x) = p(x)/q(x), where p and q are polynomials and reduced to lowest terms. (If p and q have a common factor, then they contribute removable discontinuities ('holes').)
Write this in cases:
(i) If deg p(x) ≤ deg q(x), then f(x) is a proper rational function, and lim(x→ ±∞) f(x) = constant.
If deg p(x) < deg q(x), then these limits equal 0, thus yielding the horizontal asymptote y = 0.
If deg p(x) = deg q(x), then these limits equal a/b, where a and b are the leading coefficients of p(x) and q(x), respectively. Hence, we have the horizontal asymptote y = a/b.
Note that there are no obliques asymptotes in this case. ------------- (ii) If deg p(x) > deg q(x), then f(x) is an improper rational function.
By long division, we can write f(x) = g(x) + r(x)/q(x), where g(x) and r(x) are polynomials and deg r(x) < deg q(x).
As in (i), note that lim(x→ ±∞) [f(x) - g(x)] = lim(x→ ±∞) r(x)/q(x) = 0. Hence, y = g(x) is an asymptote. (In particular, if deg g(x) = 1, then this is an oblique asymptote.)
This time, note that there are no horizontal asymptotes. ------------------ In summary, the degrees of p(x) and q(x) control which kind of asymptote we have.
I hope this helps!
Range and y intercept are two characteristics they have in common