Every non-zero complex number has three cube roots. In general, any non-integer exponent, like
1
3
here, gives rise to multiple values. The way we find them is by multiplying
z
by 1 before exponentiating. We write
1
using Euler's Identity to the
2
k
power for integer
k
. That's
Answer:
2
Step-by-step explanation:
When trying to find the LCM of two numbers you need to write down all possible ways to multiply any number used to get both 8 and 10. When doing that, the LCM is the smallest number out of both of them.
Answer:

Step-by-step explanation:
<u>Given equation</u>:

This is an equation for a horizontal hyperbola.
<u>To complete the square for a hyperbola</u>
Arrange the equation so all the terms with variables are on the left side and the constant is on the right side.

Factor out the coefficient of the x² term and the y² term.

Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:


Factor the two perfect trinomials on the left side:

Divide both sides by the number of the right side so the right side equals 1:

Simplify:

Therefore, this is the standard equation for a horizontal hyperbola with:
- center = (1, 2)
- vertices = (-2, 2) and (4, 2)
- co-vertices = (1, 0) and (1, 4)


2/3 x=10
Multiply 3*(2/3 x)=3*10
2x=30
x=15
A is the answer