Analytic Geometry Answers

Use the information provided to write the standard form equation of the parabola.Vertex:(3,4) Focus:(3 ¹⁵/⁴)

Identify the center and radius of x²+y²-8x+6y+16=0.Then sketch the graph.

Find the equation in general form of the circle with center (3,5) and tangent to the x axis.

Two stations, located at M(−1.5, 0) and N(1.5, 0) (units are in km), simultaneously send sound signals to a ship, with the signal traveling at the speed of 0.33 km/s. If the signal from N was received by the ship four seconds before the signal it received from M, find the equation of the curve containing the possible location of the ship.

If l, m be the portions of the axes of x and y intercepted by the tangent at any point ( x,y) on the curve ( x/a )^2/3+  (  y/b)^2/3  , show that ( l^2/a^2) +(m^2/b^2)=1

If A is the point (−3, 5, 10) and B is the point (12, −5, −15), find the coordinates of point P on the line AB given that AP: PB = 2: 3.

𝑥2 + 𝑦2 − 8𝑥 + 2𝑦 − 32 = 0?

If A is the point (−3, 5, 10) and B is the point (12, −5, −15), find the coordinates of point P on the line AB given that AP: PB = 2: 3.

write the equation of the line that passes through the points (2,1,3) and (1,4,-3). write all three forms of the equations of the line.

Definition, Formula and Physical interpretation of Cross Product.