Analytic Geometry Answers

Find all polar coordinates of point P = (2, 14°).

Graph the hyperbola with equation quantity x plus one squared divided by nine minus the quantity of y plus four squared divided by twenty five = 1

Find the vertices and foci of the hyperbola with equation x squared over sixteen minus y squared over forty eight = 1

Find an equation in standard form for the hyperbola with vertices at (0, ±2) and foci at (0, ±7).

Find an equation in standard form for the hyperbola with vertices at (0, ±6) and asymptotes at
y = ±three divided by four times x.

Graph the ellipse with equation x squared divided by forty nine plus y squared divided by thirty six = 1

Find the center, vertices, and foci of the ellipse with equation x squared divided by one hundred plus y squared divided by thirty six = 1

An elliptical riding path is to be built on a rectangular piece of property as shown below.

A vertical ellipse is shown centered on the coordinate plane, surrounded by a rectangle of equal length and width.

The rectangular piece of property measures 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.

Find an equation in standard form for the ellipse with the vertical major axis of length 18, and minor axis of length 16.

Find the center, vertices, and foci of the ellipse with equation 3x2 + 6y2 = 18