Answer:
θ
∈
{
90
∘
,
210
∘
,
270
∘
,
330
∘
}
step by step explanation:
Factoring the left side of
2
sin
(
θ
)
cos
(
θ
)
+
cos
(
θ
)
=
0
gives
cos
(
θ
)
⋅
[
2
sin
(
θ
)
+
1
]
=
0
Which implies (for θ
∈
[
0
,
360
∘])
either cos
(
θ
)
=
0
→ θ
=
90
∘
or
270
∘
OR
2
sin
(
θ
)
+
1
=
0
→ sin (
θ
)=−
1
2
→
θ
=
210
∘
or
330
∘
→ θ = 210∘ or 330∘
Is that a multiple sign between the x and 2?
Answer:
y=2x+8
Step-by-step explanation:
Alright so, to find the equation, we need to find the slope first. We can do that by turning the input and output into coordinates.
(1,10) and (2,12)
To find the slope, we do:

Which equals to 2
So right now we can say that the equation is:
y=2x+b
In order to find b, the constant, we just need to plug in the y values and x value of a coordinate:
10=2(1)+b
10=2+b
8=b
So now we can say that the equation is:
y=2x+8
Answer: 2
Explanation: got off math wy in pic