Let K be the number of songs on Kelly's music player,
L be the number of songs on Lou's music player and T be the number of songs on Tiffany's music player.
We know that,
K = 4*L
and
T = 6*L
and also
K + T + L = 682
Then,
4*L + 6*L + L = 682
11L = 682
L = 62
From here we know that
T = 6*62 = 372
K = 4*62 = 248
So Kelly has 248 songs on her music player
What is the slope of the line parallel to y = 3x + 7?
the slope of the line parallel is the same
m= 3
Find the slope of the line 2x + 5y = 10
solve for y
subtract 2x from each side
5y = -2x +10
divide by 5
y =-2/5 x+2
slope is -2/5
Find the vertex of the following absolute value equation.
y = -1/2|5x+2|-3
the x coordinate of the vertex is
5x+2 =0
5x=-2
x= -2/5
the y coordinate of the vertex is -3
(-2/5, -3)
Answer:
x=2
Step-by-step explanation:
2x2 =4
4+4=8
8<10
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∘