7. A tennis ball is thrown upwards from the top of a 30-foot high building. Its height, in feet above the ground, t-seconds after it is thrown is given by h=-16r2 +80t +30 . (a) Algebraically determine the time when the tennis ball reaches its greatest height. What is that height? (b) Using your calculator, sketch a general graph showing the ball's height for all times where 120 and h20. Label the information you found in part (a). (c) Using the ZERO command on your calculator, determine the amount of time the ball stays in the air. Round your answer to the nearest tenth of a second and label this on your graph drawn in part (a). (d) The whenever it is at a height of at least 100 feet. Graphically determine the interval of time that the ball can be seen. Show the work on your can be seen from the ground graph from in part (b).

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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.