Answer:
D
Step-by-step explanation:
Factorization of sin²θ + sin²θ cos²θ gives us; 2sin²θ - sin⁴θ
<h3>How to simplify Trigonometric Functions?</h3>
We want to simplify;
sin²θ + sin²θ cos²θ
Let us factorize out sin²θ to get;
sin²θ(1 + cos²θ)
Now, we know that cos²θ = 1 - sin²θ
Thus;
sin²θ(1 + cos²θ) = sin²θ(1 + 1 - sin²θ)
⇒ sin²θ(2 - sin²θ)
⇒ 2sin²θ - sin⁴θ
Read more about Trigonometric functions at; brainly.com/question/6904750
#SPJ1
Y=8/3x-10 is the answer in slope intercept form
First distribute the 2/3.
(2/3)n + (2/3)*6 = 10
(2/3)n + 4 = 10
Subtract 4 from both sides
(2/3)n = 6
Multiply both sides by (3/2) to clear the fraction
n = 9
The formula to find speed:

We first need to find the distance to gift store:
18/60 × 10
=3miles
We can then find the time he used down hill:
3÷30×60
=0.1×60
=6 minutes
In total he walked:
3x2
=6miles
We can then find his average speed by dividing the distance by total time used:
=6÷(6+18)/60
=6÷24/60
=15mph
The answer is 15mph.
Hope it helps!