Answer:
1.

2.

3.

Step-by-step explanation:
1. The given polynomial is

We need to factor the second part to get:

We factor y-5 to obtain:

2. We have

We again factor -1 from the second part to get:

We now factor x-y to get:


3. We have

We factor negative 1 from the first part to get

We now factor b-3 to get:

We now simplify to get:


We know that : (a - b)(a + b) = a² - b²

We know that : 1 - sin²x = cos²x



We know that : sec²x = 1 + tan²x







Given:
Volume of a cube = 27,000 in^3
(Note: A cube has equal sides)
The volume of a cube = a^3
So,
![\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2027000%3Da%5E3%20%5C%5C%20%5Csqrt%5B3%5D%7B27000%7D%5Ctext%7B%20%3D%20a%7D%20%5C%5C%20a%5Ctext%7B%20%3D%2030%20in.%7D%20%5Cend%7Bgathered%7D)
Therefore, the lenght of one side is 30 inches.
Solution:
<u>In this case, we are given:</u>
- Equation: y = -2x
- Slope = -2
- y-intercept = 0
Looking at Option A, we can tell that its <u>slope is -2 and y-intercept is 0.</u>
Since this is matching with the info we are given, Option A is correct.