maeviebix maeviebix

15-11-2014
Mathematics

Answered

Modulus: If z1=-2+3i and z2=1+2i calculate, |z1|, |z2|, and |z1+2z2|

Answer :

konrad509 konrad509

15-11-2014

[tex]|z_1|=\sqrt{(-2)^2+3^2}=\sqrt{4+9}=\sqrt{13}\\ |z_2|=\sqrt{1^2+2^2}=\sqrt{1+4}=\sqrt{5}\\\\ z_1+2z_2=-2+3i+2(1+2i)=-2+3i+2+4i=7i\\ |z_1+2z_2|=\sqrt{0^2+7^2}=7 [/tex]

Answer Link

Other Questions

Internal stigmatization" is such a critical issue that follows one everywhere. What are some steps you might suggest to help a client with this stressor?

Find the Tangent vector, the Normal vector, and the Binormal vector and vec(B) for the curve vec(r)(t)= (3cos(2t), 3sin(2t), 3t) at the point t=0.

What communication medium does Steve prefer with clients or with complex information? a. Smartphone/telephone b. E-mail c. Teleconferencing d. Face-to-face

find the number of ways a committee of five consisting of three male and two female can be formed in a social club consisting of eight male and seven female

1. Hamlet's conversation with Fortinbras inspires the soliloquy that follows it.A. True B. False

As exercise levels increase, which of the following physiological changes occurs?A. The respiratory muscles shrink.B. The lungs expand in size.C. The trachea wi

Calculate the height of the cylinder given:[tex]\[ \begin{array}{l} \frac{14}{8} = \\ 96 + 8 \\ \frac{96}{4} \end{array} \][/tex]Radius: [tex]\( r = 8 \text{ c

Finish the pattern and write the next number; 2, 6, 21, 88

Which area of study focuses on the design and development of products or services, as well as capacity planning?a. Marketing Managementb. Human Resource Managem

Rewrite the quadratic equation [tex]ax^2 + bx + c[/tex] in standard form.Type your answer in the box:☐

Genetic codes contain _____.

What role did the island of aegean sea play in the spread of civilization

Which of the following was the MAIN reason for the creation of this amendment? "The powers not delegated to the United States by the Constitution, nor prohibite

You just bought a new hard drive for your computer to replace your primary hard drive. After backing your data up and, then, installing the hard drive you are

Your question: "the picture shows a professional diver with a mass of 93 kg from a 25 m high cliff. Earths Gravity is acting on the diver. Which statement best

On a tour of several states, you discover a county governed under a state law that permits home rule. The county chooses its own form of government. You're prob

9+5(4x+4) what's the answer

in a week 16 hens laid 80 eggs. what is the unit rate for eggs per hen?

A solid with two parallel and congruent bases cannot be which of the following? A. Cylinder B. Cube C. Prism D. Pyramid

what body of water lies southeast of India