Complete the square and write the given equation in standard form. Then give the center and radius of the circle and graph the equation. \( \mathrm{x}^{2}+\mathrm{y}^{2}+4 \mathrm{x}-2 \mathrm{y}-20=0 \) The equation of the circle in standard form is (Simplify your answer.) \begin{tabular}{l} The center of the circle is \\ (Type an ordered pair.) \\ The radius of the circle is \( \mathrm{r}=\square \). \\ Use the graphing tool to graph the circle. \\ \hline Click to \\ enlarge \\ graph \end{tabular}

A tinsmith wants to make a small windowsill planter from a \( 66 \mathrm{~cm} \times 21 \mathrm{~cm} \) sheet of copper. She'll form it by cutting equally sized squares from each of the four corners of the sheet, folding up the resulting flaps to form the sides of the planter, and then soldering the four vertical edges. If she wants the ratio of the planter's width to height to be 5 , what will be the ratio of its length to width? Write the exact answer. Do not round. Answer

В-5 1. Даны координаты вершин \( \triangle A B C: \) \( A(-3 ;-2) ; B(-1 ; 8) ; C(7 ; 4) . \quad \) Найти уравнения: 1) сторон данного треугольника; 2) высоты \( C D ; 3) \) медианы \( A E ; 4) \) окружности, для которой медиана \( A E \) служит диаметром; 5) внутренний угол \( \angle A ; 6) \) прямой, проходящей через вершину \( B \) параллельно стороне \( A C \). Сделать чертеж.

(1) Un cilindio Eiene ura altura de 15 cm y un diametro de 8 cm . Cicual es el volumen del cilindro

Un cilindro Ciene una altura de is cm y un diametro de sem ¿Cual es el volumen del cilindio?

Un triángulo rectángulo tiene una hipotenusa que mide 13 unidades y un cateto que mide 5 unidades. Utiliza el teorema de Pitágoras para encontrar la medida del otro cateto.