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.
I believe the answer is y= -3
A+b+c=5982
find the average of the three friends
5982/3=1994
add and subtract one to find the average
1994+1=1995
1994-1=1993
add all the years together to check
1993+1994+1995=5983
Answer:
Step-by-step explanation:
f-1(x) is the inverse of f(x)
to find the inverse let’s set the equation up like this
y = 4x -2
now we’ll switch x and y
x = 4y -2
and solve for y
x + 2 = 4y
x/4 + 2/4 = y
the inverse is
y = x/4 + 1/2
this equation is written in y = mx + b form
where b = y intercept
so the y intercept is 1/2
Answer:
Measure of angle XCY is 60°.
Step-by-step explanation:
"Measure of all inscribed angles by the same arc in one segment of the circle are equal"
Using this property in the given circle,
m∠XWY = m∠XCY
60x = 61x - 1
61x - 60x = 1
x = 1
By substituting the value of 'x' in the measure of ∠XCY,
m∠XCY = 61x - 1
= 61(1) - 1
= 61 - 1
= 60°
Therefore, measure of angle XCY is 60°.
