Найти угол между радиусами окружности х2 + у2 - 4х + 6у

June 2022 1 6 Report

Найти угол между радиусами окружности х2 + у2 - 4х + 6у - 5= 0, проведенными в точки пересечения ее с осью Ох

Answers & Comments

Verified answer

$x^2 + y^2 - 4x + 6y - 5= 0, \\ x^2 - 4x + 4 + y^2 + 6y + 9 - 18= 0, \\ (x-2)^2+(y+3)^2=18, \\ O (2;-3), \ r=\sqrt{18}=3\sqrt2\approx4,2;\\ y=0, \ x^2-4x-5=0, \\ x_1=-1, \ x_2=5, \\ A(-1;0), B(5;0), \\ OA=OB=r, \\ \bar{OA}=(-1-2;0-(-3))=(-3;3), \\ \bar{OB}=(5-2;0-(-3))=(3;3), \\ \bar{OA}\cdot\bar{OB}=-3\cdot3+3\cdot3=0, \\ |\bar{OA}|\cdot|\bar{OB}|=(\sqrt{18})^2=18, \\ \cos\angle AOB = \frac{\bar{OA}\cdot\bar{OB}}{|\bar{OA}|\cdot|\bar{OB}|} = \frac{0}{18} = 0, \\ \angle AOB = 90^\circ$

0 votes Thanks 0

kak svyazany mezhdu soboj skifinskaya derzhava i predki slavyan

Answer

viksik69 July 2022 | 0 Ответы

u kazhdogo pokoleniya vozrastnoj gruppy svoi predpochteniya privychki i vkusy v t

Answer

Answers & Comments

Verified answer

kak svyazany mezhdu soboj skifinskaya derzhava i predki slavyan

u kazhdogo pokoleniya vozrastnoj gruppy svoi predpochteniya privychki i vkusy v t

рекомендуемые вопросы

Helpful Links

Helpful Social