Find the distance between the pair of points. Give an exact answer and an approximation. \( (4,6) \) and \( (5,12) \) The exact distance between the given pair of points is \( d= \) (Simplify your answer. Type an exact answer, using radicals as needed.) The approximate distance between the given pair of points is \( d \approx \square \) (Round to three decimal places as needed.)

El área de la región limitada por \( \frac{x^{2}}{4}+\frac{y^{2}}{25}=1 \) es: (A) \( 10 \pi u^{2} \) (B) \( 100 \pi u^{2} \) (C) \( 20 \pi u^{2} \) (D) \( 50 \pi u^{2} \)

Find the focus, directrix, vertex and axis of symmetry for the parabola \( (y-3)^{2}=8(x+1) \) Focus \( =\square \) Directrix \( =\square \) Vertex \( =\square \)

\( \begin{aligned} \text { Area } & =3420 \mathrm{~cm}^{2} \text { height }=57 \mathrm{~cm} \text {, base } \\ \text { Area } & =\frac{1}{2} \times \mathrm{bc} \times \mathrm{h} .\end{aligned} \)

How do you calculate the circumference of a semicircle with a radius of 5 units?

10. Encuentre la ecuación general del \( p \) \( (0,0,0) ;(2,0,3) \) y \( (-3,-1,5) \)