What is the answer to ( what is 1/3 of a circle measured in degrees)
1 answer:
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Answer: The answer is either letter A or letter C
home / math / slope calculator
Slope Calculator
By definition, the slope or gradient of a line describes its steepness, incline, or grade.
Where
m — slope
θ — angle of incline
If the 2 Points are Known
Result
Slope (m) =
ΔY
ΔX
=
-1
5
= -0.2
θ =
arctan( ΔY ) + 360°
ΔX
= 348.69006752598°
ΔX = 5 – -5 = 10
ΔY = -3 – -1 = -2
Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186
Equation of the line:
y = -0.2x – 2
or
y =
- 1 x
5
– -2
When x=0, y = -2
When y=0, x = -10
...............................................................................................................................................
home / math / slope calculator
Slope Calculator
By definition, the slope or gradient of a line describes its steepness, incline, or grade.
Where
m — slope
θ — angle of incline
If the 2 Points are Known
Result
Slope (m) =
ΔY
ΔX
=
5
-1
= -5
θ =
arctan( ΔY ) + 180°
ΔX
= 101.30993247402°
ΔX = -3 – -1 = -2
ΔY = 5 – -5 = 10
Distance (d) = √ΔX2 + ΔY2 = √104 = 10.198039027186
Equation of the line:
y = -5x – 10
When x=0, y = -10
When y=0, x = -2
...............................................................................................................................................
Input Data :
Point A
(
x
A
,
y
A
)
= (3, 2)
Point B
(
x
B
,
y
B
)
= (7, 10)
Objective :
Find the slope of a line that passes through points A and B.
Formula :
Slope
m
=
y
B
−
y
A
x
B
−
x
A
Solution:
Slope
m
=
10
−
2
7
−
3
=
8
4
m = 2
...............................................................................................................................................
Input Data :
Point A
(
x
A
,
y
A
)
= (3, 2)
Point B
(
x
B
,
y
B
)
= (7, 10)
Objective :
Find the slope of a line that passes through points A and B.
Formula :
Slope
m
=
y
B
−
y
A
x
B
−
x
A
Solution:
Slope
m
=
10
−
2
7
−
3
=
8
4
m = 2
Step-by-step explanation: This is the picture, I graphed it
Center: (0, 0)
Angle: 0 rad
Opacity: 1
Width: 10
Height: 6.8
Answer:
Options (2) and (3)
Step-by-step explanation:
Let,
-8 + 8i√3 = a² + b²i² + 2abi
-8 + 8i√3 = a² - b² + 2abi
By comparing both the sides of the equation,
a² - b² = -8 -------(1)
2ab = 8√3
ab = 4√3 ----------(2)
a =
By substituting the value of a in equation (1),
48 - b⁴ = -8b²
b⁴ - 8b² - 48 = 0
b⁴ - 12b² + 4b² - 48 = 0
b²(b² - 12) + 4(b² - 12) = 0
(b² + 4)(b² - 12) = 0
b² + 4 = 0 ⇒ b = ±√-4
b = ± 2i
b² - 12 = 0 ⇒ b = ±2√3
Since, a =
For b = ±2i,
a =
=
=
But a is real therefore, a ≠ ±2i√3.
For b = ±2√3
a =
a = ±2
Therefore, (a + bi) = (2 + 2i√3) and (-2 - 2i√3)
Options (2) and (3) are the correct options.