The equation of circle E is given as (-4)2 + (y +3)2 = 25. The coordinates for the center of circle E are: %3D (4,-3) (-3, 4) (3,-4) (-4, 3) 5.

Q: Kelly is plotting points on a graph to make a rectangle. So far she has done (1,1) (1,5) and (3,1).…

A: Lets try to plot the graph first, then we will solve the problem.

Q: 1.- (-3,-2) 2.- (3, 3) 3.- (1,--5). 4. (4,-4) 4 5.-(-3,--5) 6.- (3,-5) 7.+ (-2,-4) 8. (1, -3)

A: rectangular coordinate are (x,y)

Q: Find mzk (5x-21⁰° H B (2x+8) K

A:

Q: 9. Given the equation y = -4(x +3)2 - 6 what is the vertex? А. (3,6) В. (-3, 6) С. (3, -6) D.…

A:

Q: The equation y = ax² + bæ + e goes through the coordinates (-3, -34), (5, -2), and (7, -14). What…

A: y=ax2+bx+c   →1 Put -3, -34 in equation (1), we get 9a-3b+c=-34   →2 Put 5, -2 in equation (1), we…

Q: 3. Write the equation given the points: (-2,4) and (-1,8) s

A: We want to find equation of the line joining these two points.

Q: Find the center and radius of the circle with equation (x - 3)² + (y + O A. center: (3, -2); radius:…

A: The standard equation of a circle is given by x-h2+y-k2=r2, where (h, k) is the center of the circle…

Q: Given the centre of the cirele (-5,2) and it meets the line y= 1 at one point, find the equation of…

A:

Q: Draw the right bisector of side AB and find its equation. The coordinates are A (-5 , 5), B (3 , 3)

A: The equation of right bisector is  y=4x+8

Q: Find b and c so that y = 42 + bz + c has vertex (- 6, - 8). %3D

A:

Q: 3. 3x-2 -3x +y= -2 Sy

A: Given 2 equations :            y=3x-2-3x+y=-2 We need to find the values of x and y. Let's begin.

Q: Find the rectangular coordinates of the point P-). x-coordinate of P y coordinate of P(- )- 3

A:

Q: Write an equation in the form y=mx+b for the following table: x y -6 -1 -4 3 -2 7 0 11 2 15 4 19 6…

A: The regression equation is y=mx+b.

Q: If P = (4,0) and Q = (3, 5), find the components of PQ PQ

A: Solution:-

Q: Which ordered pair would be a point on the line y= 3x -5? A) (0,0) B) (2,-1) (C) (-1, -8) D) (5, -5)

A: The solution is :

Q: Find AB, -2 -1 -4 A=3 -1 B= %3D %3D 2 7 6 3 6 4-8

A:

Q: Find the y-intercepts: O (-1,0) and (3,0) O (5,0) and (0,-2) O (0,5) and (0, -2) O (0.-1) and (0,3)

A: Remember that y-intercept is the point on the graph where the curve cuts y-axis. i.e. ( 0 , f(0) )…

Q: Which equation passes through the points (3,4) and (6,9)?     y−9=5 over 3(x−6)   y+9=3 over 5(x+6)…

A:

Q: Graph r = 6sin(20).

A: The given curve is r2=6sin2θ

Q: Consider the equation and the following ordered pairs: (4,y) and (x,1). y=-2x-1

A: Given: equation is y=-2x-1 Ordered pairs are (4,y) and (x,1) We have to find the values of x and y…

Q: Vertex: (4,-1); Focus:(4,-5)   the standard form of equation =

A:

Q: For u= (7. - 4) and v = (- 1, - 5). find the component form and the magnitude of u + v. u+v = OD…

A: u=7-4,   v=-1-5 . u+v=7-4+-1-5 u+v=7+-1-4+-5 u+v=6-9

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.