The figure shows a circle in the coordinate plane. The center of the circle is the point A(h,k). The point B(x,y) is a point on the circle. Triangle ABC is a right triangle, with point C the vertex of the right angle. The variable r represents the radius of the circle. B(x, y) A(h, k) Part A The variables h, k, x, and y can be used to write absolute value expressions for the lengths of the legs of triangle ABC. Create the expressions in the space provide below in the form: C BC-

The figure shows a circle in the coordinate plane. The center of the circle is the point A(h,k). The point B(x,y) is a point on the circle. Triangle ABC is a right triangle, with point C the vertex of the right angle. The variable r represents the radius of the circle. B(x, y) A(h, k) Part A The variables h, k, x, and y can be used to write absolute value expressions for the lengths of the legs of triangle ABC. Create the expressions in the space provide below in the form: C BC-

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Concept explainers

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.

Question

The figure shows a circle in the coordinate plane. The center of the circle is the point A(h,k). The point B(x,y) is a point on the circle.
Triangle ABC is a right triangle, with point C the vertex of the right angle. The variable r represents the radius of the circle.
B(x, y)
A(h, k)
Part A
The variables h, k, x, and y can be used to write absolute value expressions for the lengths of the legs of triangle ABC.
BC
Create the expressions in the space provide below in the form: AC -

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