Complete the square and write the given equation in standard form. Then give the center and radius of the circle and graph the equation. \( x^{2}+y^{2}+4 x-4 y-28=0 \) The equation of the circle in standard form is (Simplify your answer.)

When \( 2 x^{3}-2 x^{2}+x-1 \) is divided by \( x-3 \), the remainder is

The sound of the old man's heart most closely symbolizes \( \square \) A. the revenge of the old man B. the guilt of the narrator C. the knowledge of the police D. the sadness of the narrator

What number is equal to \( \sqrt{100} \) ?

En una ciudad el \( 40 \% \) de la población tiene cabello castaño, el \( 25 \% \) tiene ojos castaños y el 15 tiene cabello y ojos castaños. Si se selecciona una persona con cabello castaño ¿Cuál es probabilidad de que tenga ojos castaños?

Determine the vertex of the graph of \( f(x)=x^{2}+5 \)