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-

Q: In which quadrant does the given point lie? (-7,0)

A:

Q: 15. The triangles below are the result of a dilation from point P. Write the variable expression to…

A: Dilation factor = 3

Q: Find the coordinates of the poin divides the line segments joining the points (6, (-4, 5) in the…

A:

Q: Q(-b, a) | L (b, a) R (b, 0) The following diagram is a rectangle. What is the coordinate of H?

A: Given query is to find the coordinates of H.

Q: Pac-Man can be formed by the intersection of the Unit Circle with the lines y = x (x ≥ 0) and y =…

A: Converting in polar coordinates x=r cosθ,  y=r sinθ Here radius "r" is 0≤r≤1, -π4≤θ≤π4

Q: points are collinear.

A: Not Collinear We have to check that the given points are collinear or not. The given points are…

Q: Graph the equation by substituting and plotting points. Then reflect the graph across the line y=x…

A: We have to solve given Questions.

Q: Direction: Determine the independent and dependent variables in each given situation. 1. A…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: . It's neither; y-axis and x-axis because of the zero,I just need some clarification though with…

A:

Q: Find the domain and range of the functi 在E rS Domain: Range: NOTE: If you do not see an endpoint,…

A:

Q: 33. Vega makes a map of a park located on her street, using a coordinate system with yards as the…

A: Distnace between two points A(x,y) & Bx2,y2 is given by:-AB = x2-x12 + y2-y12

Q: Reftections about the y-axis.

A: Reflection about the y-axis: When a point (x,y) is reflected about the y-axis, the x coordinate of…

Q: Find the distance from the point (-7, 6, 8) to the x axis.

A:

Q: Find the point on the y-axis that is equidistant from A = (0,0) and B = (12,5). a. Start by writing…

A: Given the coordinates of A(0,0) and B(12,5). Point on y-axis will have its abscissa equal to 0,…

Q: Identify the x and y intercepts. See attachment.

A: according to given figure intersection of line with coordinate axis is origin so, x and y intercepts…

Q: NAME 12. Find the slope and the y-intercept of y =-x-5 a) Slope: y-intercept: (0,5 4: y-intercept…

A: Calculation:The given linear function is y = 1/2 (x) – 5.The y intercept of the above function can…

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.