Analytic Geometry Answers

A software designer is mapping the streets for a new racing game. All of the streets are depicted as either perpendicular or parallel lines. The equation of the lane passing through A and B is -7x + 3y = -21.5. What is the equation of the central street PQ?

An archeologist found the remains of an ancient spartans’s shield, which she then placed on a grid. If an arc of the shield passes through A(−6,0), B(2,4) and C(6,0), locate the center of the shield, and the standard equation defining its boundary.

The earth revolves around the sun along an ellipse. The sun lies in the focus of the ellipse. The largest distance from the sun to the earth is 152.1 million kilometers, and the shortest is 147.1 million kilometers. Find the length of the semi minor axis of the ellipse and the eccentricity of the ellipse. What is the distance between the two foci of the ellipse?

the coordinates of point P and Q are (-2,3) and (1,2) respectively .A straight line QR is perpendicular ti the straight line PQ.find the equation of the straight line QR

given two points P(2,1) and Q(4,7).find an equation of the straight line passing through Q and perpendicular to PQ

Find the sections of the conicoid
x^2/36 + y^2/9 - z^2/4 = x^2-1 by the coordinate and identify them.

The equation x^2+y^2-2xy+2x++1=0 represents a parabola

The line x=y=z-1 intersects the cone x^2+y^2+z^2+2yz+2zx+2xy=0 at exactly one point

Find the semi vertical angle of a cone with axis x/1=y/2=z/3 and x-axis is the generator?