(
−
4
,
−
5
)
(
-
4
,
-
5
)
s
l
o
p
e
=
1
2
s
l
o
p
e
=
1
2
Find the value of
b
b
using the formula for the equation of a line.
b
=
−
3
b
=
-
3
Now that the values of
m
m
(slope) and
b
b
(y-intercept) are known, substitute them into
y
=
m
x
+
b
y
=
m
x
+
b
to find the equation of the line.
y
=
1
2
x
−
3
Answer:
Step-by-step explanation:
∵ ABCD is a rhombus
∴ AC is ⊥ on BD
∴ ΔAEB is right angled triangle
Observe that
|√3 + i| = √((√3)² + 1²) = √4 = 2
and
arg(√3 + i) = arctan(1/√3) = π/6
so that
√3 + i = 2 exp(i π/6)
By de Moivre's theorem, we get
(√3 + i)⁶⁰ = 2⁶⁰ exp(i π/6 • 60) = 2⁶⁰ exp(i 10π) = 2⁶⁰
X=3 and -3; if you plug in those choices you'll see that the answer is equal to -5.
Also: add 8 to both sides. |X| = 3, so what two values of x will equal 3 when you take their absolute value? 3 and -3