teekastaka teekastaka

22-08-2021
Mathematics

contestada

2. Show that a. the points 3 + i,6,4 + 4i are vertices of right triangle

Respuesta :

22-08-2021

Answer:

Step-by-step explanation:

[tex]Z_1=3+i\\Z_2=6\\Z_3=4+4i\\\\||Z_2\ Z_1||^2=||-3+i||^2=9+1=10\\\\||Z_1\ Z_3||^2=||1+3i||^2=10\\\\||Z_2\ Z_3||^2=||-2+4i||^2=20\\\\And\ 10+10=20[/tex]

Using the converse of the Pythagorean's theorem, the triangle is right.

Answer Link

Otras preguntas

Hill Company uses the periodic inventory system. For the current month, the beginning inventory consisted of 1,200 units that cost $60 each. During the month, t

What are 2 different payments relating to insurance that are used for almost all kinds of insurance?

Which statement best describes empathy? Empathy does not require effort. Empathy is inherent in most people. Empathy is the same as sympathy. Empathy primaril

In the xy-plane, the point (p,r) lies on the line with equation y=x+b, where b is a constant. The point with coordinates (2p,5r) lies on the line with equation

In a random sample of 400 items where 82 were found to be defective, the null hypothesis that 20% of the items in the population are defective produced ZSTAT=

Forest Gump drinks Dr. Pepper. He can buy as many cans of Dr. Pepper as he wishes at a price of $0.50 per can. On a particular day, he is willing to pay $1.00 f

What were reasons for the failure of the League of Nations? Check ALL answers that apply. a Member nations made side deals with different countries. b The Unite

How does ice in the North Pole and the South Pole trigger the movement of ocean currents?

Perú gained its independence from Spain. In a. b 1530 1495 C. 1821 d. 1681 Please select the best answer from the choices provided

the death of ______marked the beginning of the fall of the mughal empire