Answer:
6
y
+
3
=
−
4
y
2
Move
4
y
2
to the left side of the equation by adding it to both sides.
6
y
+
3
+
4
y
2
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
2
−
4
(
a
c
)
2
a
Substitute the values
a
=
4
,
b
=
6
, and
c
=
3
into the quadratic formula and solve for
y
.
−
6
±
√
6
2
−
4
⋅
(
4
⋅
3
)
2
⋅
4
Simplify.
Tap for more steps...
y
=
−
3
±
i
√
3
4
Step-by-step explanation:
19 thousands is 19 x 1000 = 19,000
7 tens is 7 x 10 = 70
19 thousands plus 7 tens is 19,000 + 70 which is 19,070.
The sum of angles of a triangle is 180°, so m∠K = 180° -45° -30° = 105°.
The Law of Sines tells you
... FL/sin(∠K) = FK/sin(∠L)
Solving for FL, we get
... FL = FK·sin(∠K)/sin(∠L)
... FL = a·sin(105°)/sin(30°) = a·sin(105°)/(1/2)
... FL = 2a·sin(105°) ≈ 1.93185a
