Answer:
36ft
Step-by-step explanation:
Answer:
x=-11/6
Step-by-step explanation:
3х-2=9x+9
=>9x-3x=-2-9
=>6x=-11
=>x=-11/6
Answer:
2√37
Step-by-step explanation:
Given some complex number z, |z| is what's called <em>magnitude </em>of a complex number -- its distance from 0. Unlike the more straightforward process of finding the absolute value of a real number (a number on the number line) complex numbers are <em>two-dimensional</em>, and so to talk about their magnitude, we need to bring in the Pythagorean theorem.
The real and imaginary part of the complex number 12 - 2i represent the point (12, -2) on the complex plane. Drawing lines perpendicular to the real and imaginary axes and joining them with a line from the origin to the point gives us a right triangle with legs 12 and 2. Using the Pythagorean theorem, the hypotenuse, |12 - 2i|, must be equal to
. We can pull a 4 out of the 148 to give us
![\sqrt{4\cdot37}=\sqrt{4}\sqrt{37}=2\sqrt{37}](https://tex.z-dn.net/?f=%5Csqrt%7B4%5Ccdot37%7D%3D%5Csqrt%7B4%7D%5Csqrt%7B37%7D%3D2%5Csqrt%7B37%7D)
Angle 1 and 2 are <u>supplementary</u> angles.