The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May her driving cost was $380 for 480 mi and in June her cost was $450 for 830 mi. Assume that (a) Find a linear function C that models the cost of driving x miles per month. C(x) = (b) Draw a graph of C. 600 600 500 500 400 400 300 300 200 200 100 100 200 400 600 800 1000 1200 1400 200 400 600 800 1000 1200 1400 600 600 500 500 400 400 300 300 200 200 100 100 200 400 600 800 1000 1200 1400 200 400 600 800 1000 1200 1400 What is the slope of this line? (c) At what rate does Lynn's cost increase for every additional mile she drives? per mi

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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.