Hey there! I'm happy to help!
First we need to find the slope, which is the incline of the line. To do this, you divide the difference of the y values by the difference of the the x values.
3-8=-5
-2-0=-2
-5/-2=5/2
To find the y-intercept, you want to find where the line hits the y-axis. Well, the point (0,8) tells us that the y-intercept is 8. The y-axis is where x=0, so our y-intercept is 8.
Slope intercept form is y=mx+b, where m is the slope and b is the y-intercept.
So....
y=5/2x+8.
Have a wonderful day! :D
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∘
I am no expert but i got.
28.27
i hope this helps, sorry if i am wrong
The quadratic formula is the result of completing the square for ax^2+bx+c=0 when a,b, and c are unknown values. This result is:
x=(-b±√(b^2-4ac))/(2a), we have x^2-x-2=0 so
x=(1±√(1+8))/2
x=(1±√9)/2
x=(1±3)/2
x=-1 and 2