Answer:

Step-by-step explanation:
From law of indices
For this case we have that by definition, the volume of a cylinder is given by:

Where:
A: It's the radio
h: It's the height
We have according to the data:

Substituting:

Thus, the volume of the paint can is 753.6 cubic inches.
Answer:

Answer:

Step-by-step explanation:
Since the polygons are similar, we can use the formula:
. Using cross-multiplication
, we obtain:
.
We need two numbers that when multiplied will give you -40 and when added will give you -3:
(x+5) (x-8) this is your answer. And you want to know the process Here it goes. And attached is a chart I made you so you can visually see what this process is telling you:
1) identify a,b, and c in the trinomial ax^2 + bx+c (in your case it's 1x^2-3x-40= x^2-3x-40)
2) write down all factor pairs of c (numbers that multiplied produce -40)
3) identify which factor pair from the previous step sums up to b
4) Substitute factor pairs into two binomials