Question:
Iliana multiplied 3p – 7 and 2p^2 – 3p – 4. Her work is shown in the table.
Which is the product?
6p^3 + 23p^2 + 9p + 28
6p^3 – 23p^2 – 9p + 28
6p^3 – 23p^2 + 9p + 28
6p^3 + 23p^2 – 9p + 28
Answer:
Option C:
is the correct answer.
Explanation:
The two expressions are
and 
The product of the expression can be determined by multiplying each of the first term with the second term of the expression, we get,


Simplifying we have,

Adding the like terms, we have,

Thus, the product of the two expression is 
Hence, Option C is the correct answer.
Answer:
C.
Step-by-step explanation:
If sin Ф=1/3>0 and tan Ф<0; then Ф belongs to the second quadrant and cos Ф will be negative (cos Ф<0).
sin²Ф+cos²Ф=1
(1/3)²+cos²Ф=1
1/9+cos²Ф=1
cos²Ф=1-1/9
cos²Ф=8/9
cos Ф=⁺₋√(8/9)=⁺₋2√2 / 3
We have two possible solutions.
cos Ф=2√2 / 3 This solutions is not possible, because in this case cos Ф has to be negative (cos Ф<0)
cos Ф=(-2√2) / 3 this solutions is right.
answer:B. -2 square root 2 /3 (or (-2√2) /3 )