Find the center, foci, and vertices of the ellipse. Graph the equation. \[ \frac{(x-5)^{2}}{9}+\frac{(y+1)^{2}}{81}=1 \] Type the coordinates of the center of the ellipse in the boxes below. (h,k) \( =(5,-1) \) Type the coordinates of the vertices in the boxes below. Vertex above center \( =(\square, \square) \) (Simplify your answer.) Vertex below center \( =(\square, \square) \) (Simplify your answer.)

A circle has a radius of 7 cm. What is its circumference?

Analyze each equation. That is, find the center, vertices, and foci of each ellipse and grapl \( \frac{x^{2}}{9}+\frac{y^{2}}{25}=1 \) What are the coordinates of the center? \( (0,0) \) (Type an ordered pair.) What are the coordinates of the vertices? (0,5),(0,-5) (Type an ordered pair. Use a comma to separate answers as needed.) What are the coordinates of the foci? \( \square \) (Type exact answers for each coordinate, using radicals as needed. Type an ordered pair.

14. The actual area of a park is \( 0.08 \mathrm{~km}^{2} \). If the area of the park on a map is \( 32 \mathrm{~cm}^{2} \), then the scale of the map is A. \( 1: 250 \). B. \( 1: 5000 \). C. \( 1: 40000 \). B. \( 1: 25000000 \).

5. ¿Cuál es la ecuación de la circunferencia de centro en el origen y que pasa por el punto \( (2,-3) \) 6. Encuentra la ecuación de la circunferencia de diámetro el segmento formado por los puntos,

Find the center, foci, and vertices of the ellipse. Graph the equation. \[ (x-2)^{2}+9(y+3)^{2}=36 \] Type the coordinates of the center of the ellipse in the boxes below. \( (h, k)=(2,-3) \) Type the coordinates of the vertices in the boxes below. Vertex right of center \( =(8,-3) \) (Simplify your answer.) Vertex left of center \( =(-4,-3) \) (Simplify your answer.) Type the coordinates of the foci in the boxes below. Focus right of center \( =(\square, \square) \) (Simplify your answer.) Focus left of center \( =(\square, \square) \) (Simplify your answer.)