Circle has a center (-6, 4) and a radius of 8. If a translation (x, y) --> (x + 3, y - 2) and a dilation with scale factor of 1.5 is applied, find the new center coordinates and radius. New Center: (Write your answer in the form (x, y) New radius = (Your %3D answer is a number)

Q: Find the center and the radius of the circle with the equation x2 + 10 x + y² + 8 y – 128 = 0 Enter…

A: Given : x2+10x+y2+8y-128 = 0

Q: Graph the circle. (x-5)^2 + y^2 = 4

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Q: 4- -7 -6 -5 -4 3 -2 -1 456 -2- Find the slope of the line. Slope = m= Enter your answer as an…

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Q: The circle x² + y² - 18x + 8y +48=0 is translated one unit right and two units down. Which is the…

A: We know that general form of a circle equation is -  (x - h)2 + ( y -k)2  = r2. Here (h,k) is center…

Q: center (3,-5) radius 5

A: given center=(3,-5)  and radius=5 ,we have to find the equation of circle.

Q: Find the equation (in slope-intercept form) of the line containing the points (-3,0) and (1,5). Y

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Q: A circle centered at 0(5, -2) on the coordinate plane passes through the point (2.9, 6.8). Determine…

A: A circle centered at  and passes through the point .The objective is to determine whether the…

Q: In the coordinate plane, a circle has center (2,-3) and passes through the point (5,0). What is the…

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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.