What is the opening, focus, directrix, axis of symmetry, and endpoints of the latus rectum of the equation: y2  = -6x

Q: (1-1)? (y-3)? + = 1 10 11

A: Center: (1,3)   Foci: (1,2), (1,4)   Vertices : (1, 3-sqrt(11))    ~ (1,-0.3166) & (1,…

Q: The center of a ceiling fan is at (2, 8). If the radius is 12in, what equation represents the outer…

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Q: A point in the threedimensional coordinate system has coordinates             (x0, y0, z0). Describe…

A: When we have a three-dimensional space-XYZ. We take a point in the space that is represented by (x,…

Q: t 36.(x+1) =4 2 2

A: The given equation,(y-8)22+36(x+1)2=4

Q: Find the Center and radius of the Cirele x?+y²+4X-6y -320

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Q: Identify the surface with equation 9r? - 4y? + 16z? - 144 = 0. %3D

A: Given the equation : 9x2-4y2+16z2-144=0 We know Equation of hyperboloid of one sheet:…

Q: test for symmetry with respect to each axis and tothe originxy = 4

A: xy=4 Replace y by -y, we get x-y=4⇒-xy=4 Which is not same as original equation. Therefore given…

Q: For AB, point A has coordinates (3, -5) and point B has coordinates (-1, 9). What are the…

A: Consider the given coordinates of point A is 3 , -5 and the coordinates of point B is -1 , 9

Q: test for symmetry with respect to each axis and tothe origin.y = x2 − 6

A: test for symmetry with respect to each axis and tothe origin y = x2 − 6

Q: The accompanying diagram shows a right triangle. If the triangle is rotated 90° counterclockwise…

A: when we rotate a figure of 90 degrees counter clockwise,each point of thegiven figure has to be…

Q: Determine -dz, C: counterclockwise circle |z-il=3.

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Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: Determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

Q: What are the coordinates for point B and point C?

A: The initial coordinates are: They are first translated to the right by 9 units which is along…

Q: find the coordinates of the foci, lengths of transverse and conjugate axis: 25y2 - 16x2 = 400

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Q: x = -4Cy-7) +5 2

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Q: 2 2 3D1 30 95

A: The solution are next step..

Q: Reflect the triangle over the y-axis, then translate

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Q: Find the stondard form of the equation of the parobolo withe given given characteristics, focus…

A: Parabola: A parabola is an arc shaped curve in which every point on the curve is at an equal…

Q: A soccer field is 120 meters long (x-axis) and 90 meters wide (y-axis). The field crew needs to find…

A:

Q: The USA Olympic Synchronized Swimming Team is designing a routine for their upcoming competition.…

A: The general form of an equation of a circle is given by: (x-a)2+(y-b)2=r2   Here, (a,b) is the…

Q: What is the length of the minor axis given by the equation (picture of the equation provided)

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Q: find center verticals, foci and sketch its graph 2x2+3xy-4y2-3y+1=0

A: We are given : 2x2+3xy-4y2-3y+1=0 Plotting the graph, we have : This graph is a Hyperbola.

Q: The midpoint of PQ is MCI0,7). One endpoint is P(7,-2), What are the coordinates of the other…

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Q: The figure satisfies the Midpoint theorem for a triangle. Calculate (x + y) 4у x + 4 6(у-1) 4x -2

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Q: What is the radius of the circle whose equation is x2 + y2 = 49? %3D

A: By using equation of circle, we calculate the radius of given equation.

Q: Determine graphically the coordinates of the vertices of the triangle, the equation of whose sides…

A: Given the equations of sides of the triangle are

Q: How is the standard form of a circle’s equation obtained from its general form? Explain.

A: The standard equation of the circle is of the form x-h2+y-k2 =r2 where h,k is the center and r is…

Q: The area of the upper half of the circle whose equation is (x – 1)? + y? = 1 is given by

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Q: Use the information provided to write the standard form equation of each circle. Center: (-6, -15)…

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Q: Decide whether the following statement is true or false. If the statement is​ false, explain why.…

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Q: Test for symmetry with respect to each axis and to the origin   y = x2 − 6

A: We plug -x in place of x  This equation is the same as the given equation. So the function is…

Q: Find the Rectangular equation. X-5cos() and y=53in(6)

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Q: Find the length of the major and minor axes and find the coordinates of the foci.

A: Given x-02625+y-52400=1

Q: Given the midpoint (2, 5) of a segment and one endpoint (-3, -9), what are the coordinates of the…

A: Given mid point of the line segment = (2, 5) One end point = (-3, -9)

Q: A soccer field is 115 yards long (x-axis) and 74 yards wide (y-axis). The field crew needs to find…

A: Given problem:- A soccer field is 115 yards long (x-axis) and 74 yards wide (y-axis). The field crew…

Q: I need to rotate the shape in the third quadrant 90° counterclockwise. Where would my triple prime…

A: Here we need to rotate the shape in the third quadrant 90° counterclockwise

Q: When a polygon reflects across the y-axis, how do the coordinates of the points change ?

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Q: Use the information provided to write the equation of each circle. 7 Center: (17,-10) Point on…

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Q: Reflect the figure across the y-axis. Which is most likely the new figure?

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Q: Test for symmetry with respect to each axis and to the origin y = Ix3 + xI

A: Given, the equation of the curve y = |x3 + x|. And we have to check whether the curve is symmetric…

Q: Find y, the shape is a trapezoid. (3x + 5)° (2y – 20)° (4x 30)

A: Sum of measurement of angles of a triangle is 180 degree

Q: Test for symmetry with respect to each axis and to the origin     y = 9x − x2

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Q: 1 2 X= (y+7)¯-1 2

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Q: Graph the first-octant portion of each plane. 4x + 2y + 3z = 24

A: We have to find the graph the first-octant of the plane. To find x- intercept of the plane put y=0…

Q: What is the vertex, the focus, directrix, and line of symmetry for 4 (y – 2) = (x + 1)2?

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Q: a ferris wheel is elevated 1 meter above the ground. when a car reaches the highest point on the…

A: Given: The ferris wheel is lifted 1 meter above the ground. Highest altitude of the car in the…

Q: Enter the equation of the circle with the glven center and radlus. Center: (3,-7); radius: 7 The…

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Q: What is the radius of the circle with equation I +y+6z 54 +2y? Write the answer in the space…

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Q: Find the coorfinates of the foci, length of the transverse and conjugate axis: 16x2 - 25y2 = 400

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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.