-2/5
Step by Step :
18 - 8 = 10
-15 - 10 = -25
10/-25 = -2/5
Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.
answer is attached below with full explanation
You FOIL the binomials out to get a quadratic.
The first step for solving this expression is to write 6q as a difference.
8q² + 10q - 4q - 5
Now factor out 2q from the first part of the expression (8q² + 10q).
2q × (4q + 5) - 4q - 5
Extract the negative sign from the second part of the expression (-4q - 5).
2q × (4q + 5) - (4q + 5)
Lastly,, factor out 4q + 5 from the expression to find your final answer.
(4q + 5) × (2q - 1)
This means that the correct answer to your question is (4q + 5) × (2q - 1),, or option D.
Let me know if you have any further questions.
:)
