Kelly: 4y Lou: y Tiffany: 6y
4y + y + 6y = 11y
682/11 =62
Kelly: 4x62 = 248 songs
Lou: 1x63 = 62 songs
Tiffany: 6x62 = 373 songs
This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.
To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.
The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:
4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13
This is the answer you are looking for. I hope this helps :)
<span>24x</span>³<span> - 54x</span>²<span> + 44x - 99 =
(24x</span>³ + 44x) - (54x² + 99) = <span>
4x</span>(6x²+11) - 9 (6x² + 11) =
(4x-9)(6x²+11)
Answer: (6x²+11)
Answer:
12
Step-by-step explanation:
First substitute the equation with the variable replacements given:
-r/9 + 5x <--- Before
-27/9 + 5(3) <--- After
Next Solve the parts of the Equation
-27/9 + 5(3)
-3 + 15 <--- -27 divided by 9 is -3, 5 times 3 is 15.
= 12 <--- 15 - 3 = 12.
I hope this helps!
