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!!!
Sin is 5/13
We know tan = 5/12 the 5 is opposite 12 adjacent
Sin is opposite/hypotenuse. We know 5 is the opposite to find hypotenuse do pythogrean 5^2+12^2= 169 the sq rt of 169 is 13
Answer:
48sq^2
Step-by-step explanation:
(12*8)/2
96/2
48
For the answer to the question above, <span>Well, first let us put up a functional equation. </span>
<span>Since this is an exponential function, it'll be: f(t)=54,000*1.03^t </span>
<span>But we want to know how many wolves there were 10 years ago. </span>
<span>For that, we simply "turn time around", as in: f(t)=54,00*1.03^-t </span>
<span>This displays a decreasing number of wolves, as you turn back time. </span>
<span>Now we simply calculate 54,000*1.03^-10 </span>
<span>which is approximately 40,200?</span>
Answer:
<em>y = 3x + 1</em>
Step-by-step explanation:
y = mx + b
The slope, or <em>m</em>, is 3.
The y-intercept, or <em>y</em>, is 1.
Plug them into the equation.
y = mx + b
<em>y = 3x + 1</em>
