Answer:
Step-by-step explanation:
Given complex number is:
To find:
Answer in rectangular form after using De Moivre's theorem = ?
i.e. the form (not in forms of angles)
Solution:
De Moivre's theorem provides us a way of solving the powers of complex numbers written in polar form.
As per De Moivre's theorem:
So, the given complex number can be written as:
Now, using De Moivre's theorem:
So, the answer in rectangular form is:
Answer:
$60
Step-by-step explanation:
Let x represent the initial money she had
She spent 3/5 of her money on a bag, That is;
3/5 of x
= 3/5 * x
and 1/6 of x on a belt
Therefore, the total money she spent is
3/5 * x + 1/6 * x
She had $14 left after all her purchases
To find how much she had left, sum up all her spending and what she has left
3/5 * x + 1/6 * x + 14 = x
collect like terms
3/5 x + 1/6 x - x = -14
23/30 x -x = -14
-7/30x = -14
x = $60
That symbol represents "plus out minus". usually represents uncertainty if it is beside a number.
e.g. 3± 0.3 means that the actual answer lies between 2.7 and 3.3
Answer:
y = x + 2
Step-by-step explanation:
First, find the rate of change [slope]:
-y₁ + y₂\-x₁ + x₂ = m
Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:
y - y₁ = m(x - x₁)
y - 6 = x - 4
+ 6 + 6
_______________
y = x + 2 >> Line in <em>Slope-Intercept Form</em>
__________________________________________________________
y - 2 = x
+ 2 + 2
______________
y = x + 2 >> Line in <em>Slope-Intercept</em><em> </em><em>Form</em>
** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!
I am joyous to assist you anytime.
108
I'm not positive but i belive this is correct