Question

Me ajudem por favor é urgente ​

Answer 1

Resposta:

1 "a"

Explicação passo-a-passo:

2 "f"............

Answer 2

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⠀⠀⠀☞ 1)a) c = (4,-1), R = 5; b) c = (0,-1/2), R = 3; c) c = (1/2,-3), R = 4; d) c = (0,0), R = 5; 2)a) (x-2)²+(y-5)² = 9; b) (x² + (y-3)² = 4; c) (x-5)² + y² = 64; d) (x-3)² + (y+2)² = 49; e) x² + y² = 1/9; f) (x+2)² + (y-5)² = 9/16. ✅

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⠀⠀⠀⭐⠀Para realizar este exercício vamos rever a forma geral da equação reduzida da circunferência.⠀⭐⠀

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                             $\Large\red{\boxed{\pink{\boxed{\begin{array}{lcr}\green{\star}&&\green{\star}\\&\!\!\orange{\sf (x - x_0)^2 + (y - y_0)^2 = R^2}\!\!&\\\green{\star}&&\green{\star}\\\end{array}}}}}$

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$\text{\pink{ \Longrightarrow }~\Large\orange{ \sf (x, y)~ }}$ sendo as coordenadas dos pontos da circunferência;

$\text{\pink{ \Longrightarrow }~\Large\orange{ \sf (x_0, y_0)~ }}$ sendo as coordenadas do centro da circunferência;

$\text{\pink{ \Longrightarrow }~\Large\orange{ \sf R~ }}$ sendo o raio da circunferência.

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⠀⠀⠀➡️⠀Vejamos agora cada um dos itens:

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1) a) (x - 4)² + (y + 1)² = 25✍  

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                                        $\blue{\Large\sf~~\begin{cases}~\text{ \sf\green{\boxed{\blue{\sf~c = (4, -1)~}}} }\\\\~\text{ \sf\green{\boxed{\blue{\sf~R = 5~}}} } \end{cases}}$⠀⠀✅

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1) b) x² + (y + 1/2)² = 9✍  

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                                        $\blue{\Large\sf~~\begin{cases}~\text{ \sf\green{\boxed{\blue{\sf~c = (0, -1/2)~}}} }\\\\~\text{ \sf\green{\boxed{\blue{\sf~R = 3~}}} } \end{cases}}$  ✅

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1) c) (x - 1/2)² + (y + 3)² = 16✍  

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                                        $\blue{\Large\sf~~\begin{cases}~\text{ \sf\green{\boxed{\blue{\sf~c = (1/2, -3)~}}} }\\\\~\text{ \sf\green{\boxed{\blue{\sf~R = 4~}}} } \end{cases}}$  ✅

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1) d) x² + y² = 25✍  

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                                        $\blue{\Large\sf~~\begin{cases}~\text{ \sf\green{\boxed{\blue{\sf~c = (0, 0)~}}} }\\\\~\text{ \sf\green{\boxed{\blue{\sf~R = 5~}}} } \end{cases}}$  ✅

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2) a) C = (2,5), R = 3✍  

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                             $\Large\green{\boxed{\rm~~~\gray{(x - 2)^2 + (y - 5)^2}~\pink{=}~\blue{ 9 }~~~}}$ ✅

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2) b) C = (0,3), R = 2✍  

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                                  $\Large\green{\boxed{\rm~~~\gray{x^2 + (y - 3)^2}~\pink{=}~\blue{ 4 }~~~}}$ ✅

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2) c) C = (5,0), R = 8✍  

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                                 $\Large\green{\boxed{\rm~~~\gray{(x - 5)^2 + y^2}~\pink{=}~\blue{ 64 }~~~}}$ ✅

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2) d) C = (3,-2), R = 7✍  

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                             $\Large\green{\boxed{\rm~~~\gray{(x - 3)^2 + (y + 2)^2}~\pink{=}~\blue{ 49 }~~~}}$ ✅

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2) e) C = (0,0), R = 1/3✍  

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                                     $\Large\green{\boxed{\rm~~~\gray{x^2 + y^2}~\pink{=}~\blue{ 1/9 }~~~}}$ ✅

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2) f) C = (-2,5), R = 3/4✍  

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                           $\Large\green{\boxed{\rm~~~\gray{(x + 2)^2 + (y - 5)^2}~\pink{=}~\blue{ 9/16 }~~~}}$ ✅

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                             $\bf\large\red{\underline{\quad\quad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}$☁

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⠀⠀☀️ L͎̙͖͉̥̳͖̭̟͊̀̏͒͑̓͊͗̋̈́ͅeia mais sobre equação da circunferência:

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                                     https://brainly.com.br/tarefa/36551231 ✈  

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                                     $\huge\blue{\text{\bf\quad Bons~estudos.}}$ ☕

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                                          $\quad\qquad(\orange{D\acute{u}vidas\ nos\ coment\acute{a}rios})$ ☄

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                             $\bf\large\red{\underline{\qquad \qquad \qquad \qquad \qquad \qquad \quad }\LaTeX}$✍

                                $\sf(\purple{+}~\red{cores}~\blue{com}~\pink{o}~\orange{App}~\green{Brainly}$ ☘☀❄☃☂☻)

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                                                          $\Huge\green{\text{ \underline{\red{\mathbb{S}}\blue{\mathfrak{oli}}~}~\underline{\red{\mathbb{D}}\blue{\mathfrak{eo}}~}~\underline{\red{\mathbb{G}}\blue{\mathfrak{loria}}~} }}$ ✞

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