So, 4/3 - 2i
4/3 - 2i = 12/13 + i8/13
multiply by the conjugate:
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13
(3 - 2i) (3 + 2i)
apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
a = 3, b = - 2
= 3^2 + (- 2)^2
refine: = 13
= 4(3 + 2i)/13
distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)
Simplify:
4(3) + 4(2i)
12 + 8i
4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)
Multiply the numbers: 4(2) = 8
= 12 + 8i
12 + 8i
= 12 + 8i/13
Group the real par, and the imaginary part of the complex numbers:
Your answer is: 12/13 + 8i/13
Hope that helps!!!
Answer:
There are 6 equilateral triangles
you get an isosceles triangle
the height of the equilateral triangle is 4
this is all I have so far :)
Answer: 
Step-by-step explanation:
<u>Given expression</u>
4x³ + 24x² - 288x
<u>Factorize 4x out from the expression</u>
4x · x² + 4x · 6x - 4x · 72
4x (x² + 6x - 72)
<u>Cross multiply to factorize the remaining polynomial expression</u>
<em>The meaning is to allow the factored product of the constant to add up to the first-degree term</em>
x 12
x -6
<u>Combine the result</u>
Hope this helps!! :)
Please let me know if you have any questions
Answer:
<em>she will be back at 7:30pm</em>
Step-by-step explanation:
From the question we are given
Time that Shasta leaves for her best friend place = 5:00pm
If she is to come back after 2 and a half hour, hence we will have to add 2hr 3ominutes to the time she left to know the time she will be back as shown:
She will be back at 5:00 + 2hr 30min = 7:30pm
<em>Hence she will be back at 7:30pm</em>
