Answer:
there are 1,679 students that don't play video games
Step-by-step explanation:
because 1938 - 259 =1,679
On order to change B to C, you have to bring B 3 units to the right and then 4 units down.
Answer:
7:8
Step-by-step explanation:
<span>(1 + cos² 3θ) / (sin² 3θ) = 2 csc² 3θ - 1
Starting with the left: Note that cos²θ + </span><span>sin²θ = 1.
In the same way: </span><span>cos²3θ + <span>sin²3θ = 1
</span></span>Therefore cos²3θ = 1 - <span>sin²3θ
</span> From the top: (1 + cos² 3θ) = 1 + 1 - sin²3θ = 2 - <span>sin²3θ
</span>
(1 + cos² 3θ) / (sin² 3θ) = (<span>2 - sin²3θ) / (sin² 3θ) = 2/</span><span>sin² 3θ - </span><span>sin²3θ/</span>sin²3θ
= 2/<span>sin² 3θ - 1; But 1/</span><span>sinθ = csc</span><span>θ, Similarly </span>1/sin3θ = csc3θ
= 2 *(1/sin<span>3θ)² - 1</span>
= 2csc²3θ - 1. Therefore LHS = RHS. QED.
Divide both sides by -3
y + 5 = -15/3
Simplify 15/3 to 5
y + 5 = -5
Subtract 5 from both sides
y = -5 - 5
Simplify -5 - 5 to -10
y = -10