Two objects, A and B, are moving along two different straight lines at constant speeds. With reference to a particular coordinate system in which distance is measured in metres, the position of A at time t (in minutes) is (2t − 1, 3t + 3), and the position of B is (5t − 2, 2t + 5). A student attempts to find the shortest distance between A and B as attached. There are two lines where the working does not follow on from the previous line. . Find and describe the two mistakes. Write out a correct solution

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A: To find out the intersection points of the given parabola and the line.

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A: 9

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A: Given the surface of a mountain is modeled by the equation h(x,y)=7500−0.001x2−0.004y2

Q: Cartesian

A:

Q: B. Determine the symmetric equation of the line going through the points P(-2,0,3) and Q(1,3,7).

A: To find  The symmetric equation of the line going through the points p(-2,0,3) and Q(1,3,7)

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A:

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A:

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is the intersection point of the main axis. In an ellipse graph, the center of the axis is the midpoint of the line segment connecting the foci. The major axis is the line section that runs through the ellipse's foci, while the minor axis runs through the middle and is perpendicular to the major axis.. The ellipse has two endpoints on the major axis which are known as the vertices (in plural), vertex in the singular. The equation of the major axis is 2a, the equation of the minor is 2b and the distance between the major axis and minor axis is 2c. The semi-major axis has a length of a and the semi-minor axis has a length of b. The ellipse's vertices are determined by the elliptical orbit's equation and graph.