Answer:
Step-by-step explanation:
We have to find the quotient of the following division, 
.
Now,
= ![- \frac{3}{4} p^{[- 4 - (- 12)]} q^{[-6 - (- 3)]}](https://tex.z-dn.net/?f=-%20%5Cfrac%7B3%7D%7B4%7D%20p%5E%7B%5B-%204%20-%20%28-%2012%29%5D%7D%20q%5E%7B%5B-6%20-%20%28-%203%29%5D%7D)
{Since all the terms in the expression are in product form, so we can treat them separately}
{Since we know the property of exponent as 
}
= 
= (Answer)
{Since we know, 
}
Let <em>f(x)</em> be the sum of the geometric series,
for |<em>x</em>| < 1. Then taking the derivative gives the desired sum,
Answer:
The total surface area is: 468 in^2 which agrees with answer a)
Step-by-step explanation:
The three lateral faces of the prism are rectangles, and the sums of their areas give:
12 * 10 + 9 * 10 + 15 * 10 = 360 in^2
The area of each triangular base (notice it is a right triangle) is given by:
9 * 12 / 2 = 54 in^2, so we add TWO of these to the three rectangular faces:
Total surface = 360 in^2 + 2 * 54 in^2 = 468 in^2
