(1)State and prove the converse of the power of point theorem.

Q: Three small towns out west form the vertices of a right triangle, with Stony

A: Solve the following

Q: 89. r-axis Symmetry Open the x-axis symmetry applet. Move point A around the Cartesian plane with…

A: Given:move the point A around the cartesian plane with your mouse

Q: 4. An elliptical track has a major axis that is 80 yards long and a minor axis that is 72 yards…

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Q: Archeologists are studying a shipwreck on the ocean floor. The wreck site is roughly shaped like a…

A: Given, Parallelogram PQRS represents the wreck site, with P at (9,2), Q at (-8,2), and R at (-7,7).…

Q: The parametric form of the solutions of the PDES

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Q: a suspension bridge the shape of the suspension cables is parabolic. The bridge shown in the figure…

A: Given, In a suspension bridge the shape of the suspension cables is parabolic. The bridge has towers…

Q: 6. Graph the parabola and find the vertex, focus, directrix and latus rectum points. 10 12(x – 5) =…

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Q: identify and sketch the set of points in the plane satisfying x2 + 2x - y = 3

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Q: An example of 2 non-collinear points. M.

A: We give the example of two non colinear point.

Q: Direction: Give the location of the vertices, foci, and the ends of the conjugate axis 1. --1

A: Given that, the equation of the hyperbola is y29-x29=1. Note that, the standard form of the equation…

Q: . Semielliptical Arch Bridge A bridge is to be built in theshape of a semielliptical arch and is to…

A: Semielliptical Arch Bridge A bridge is to be built in the shape of a semielliptical arch and is to…

Q: II. Determine the vertex, focus, and the length and endpoints of the latus rectum. State the…

A: Given that: 12. (y+1)2=x-413. y2+x-10y+17=014. -x2-6x+y-4=0     NOTE: As per our answering…

Q: 2. A boy starts his morning walk at point A reaches two points B and C and finally back to A such…

A: We have to find the total distance travelled.

Q: EXAMPLE 2 Determining if Three Points Form the Vertices of a Right Triangle Determine if the points…

A: To check, if the points M(-2,-3), P(4,1) and Q(-1,7) form the vertices of right angled triangle.

Q: Drag 2 numbers listed below into appropriate boxes to indicate the coordinates of one of the…

A: The vertices of the trapezoid are (-3,-7), (0,5), (2,5) and (5,-7). For the vertices reflected…

Q: Graph the sets of points whose polar coordinates satisfy the equationsand inequalities θ = 11π>4,…

A: Consider the given equations and inequality.

Q: Geometry An isosceles triangle has at least two sides of equal length. Determine whether the…

A: A triangle in which atleast two sides are equal in length is said to be an isosceles triangle. Also…

Q: a. Show that the points (2, 9), (−1, −6), and (−4, −3) are not collinear by finding the slope…

A: a) Use the slope formula to find the slope between (2, 9) and (−1, −6)

Q: 4. -2)- 8(x- 1) a. vertex d. length of latus rectum b. focus c. endpoints of the latus rectum c.…

A: Given equation of parabola, (y-2)2=8(x-1)Compare with standard equation…

Q: Triangle ABC is a right triangle where mZB = 90°. An altitude drawn from vertex B intersects AC at…

A: If an altitude drawn from vertex B intersect AC at point D then ., ∆ADB ≡ ∆ABC ≡ ∆BDC

Q: 1. A regional airport, community college, and city hall building are located at the vertices of a…

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Q: Water flowing from a suspended garden hose to the ground follows a parabolic path, with the hose’s…

A: The given situation represents in the xy-plane and let (0,0) be the origin, that represent the…

Q: Sports Field. Suppose the elliptical track is centered at the origin and has a horizontal major axis…

A: The solution is given below in the next step:

Q: Write your answer on a piece of paper with your name on it. Snap a picture, then upload your answer.…

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Q: Water flowing from a suspended garden hose to the ground follows a parabolic path, with the hose’s…

A: Given Water flowing from a suspended garden hose to the ground follows a parabolic path, with the…

Q: 7) Foci: (3, -3), (-9, –3) Co-vertices: (-3, 5), (-3, –11)

A: We are authorized to solve only 1 question please repost remaining questions Ellipse equation

Q: 7. [-/1 Points] DETAILS LARCALC11 11.4.023. Verify that the points are the vertices of a…

A: Given vertices of a parallelogram A1,1,3, B-4,0,4 C-2, 3,-3, D3, 4, -4 To find: Verify these points…

Q: An engineer designs a cable of suspension bridge that hangs in the form of a parabola, the towers…

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Q: A hyperbolic mirror, used in some telescopes, has the property that a light ray directed at the…

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Q: DISCUSS: Collinear Points Suppose that you are given thecoordinates of three points in the plane and…

A: Let the three points be Ax1, y1, Bx2, y2 and Cx3, y3 on the given plane.

Q: a) Provide an ideal drawing for the following theorem: "The midpoint of the hypotenuse of a right…

A: Consider the given statement ,the midpoint of the hypotenuse of a right triangle is equidistant from…

Q: 2. Reflect on and relate coordinate and direct proofs of some geometric theorems. Try to construct…

A: The coordinate proof is a proof of a geometric theorem which uses "generalized" points on the…

Q: cion of the parabola described. (0,2); Vertex at (0,0)

A: Parabola: 1. a) Focus is (0,2) , vertex is (0,0) b) Focus is at (2,4) , directrix x=-4.

Q: and father vertex of the

A: we have to determine the vertex of the parabola given in the diagram.

Q: 4. Quarterback Cody can throw a football in a perfect parabolic arc to a receiver 40 yards…

A: Max height = 16 at half way = 20 Vertex of parts of ball (h, k) = (20, 16)

Q: 5. A cube is located so that its top corners have the coordinates (-1, –2,2), (–1, 3, 2), (4, -2,…

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Q: 1. A triangle has its vertices at (0, 7), (-3, 1), and (2,0). Find the equation of its sides.

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Q: Parallelogram ABCD had vertices A(-5,5,-1), B(-2,-5,-2), and C(3,-5,-1) determine the coordinates…

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Q: 6. State the coordinates of the vertex and the equation in star given the equation of parabola y =…

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Q: 12 Prove or disprove the statement. The point (V6, 2) lies on the circle centered at the origin and…

A: We have to find the given point lies on the circle or not.

Q: Find the focus of the parabola y = x 2 - 12x. (6, -35) (6.75, -36) (6, -35.75)

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Q: The yellow triangle's vertices are at the centers of the three squares – two identical small squares…

A: Let the side of small square = a,

Q: 7. Vertices: (-2, 17) and (-2, 3) Co-Vertices: (2, 10) and (-6, 10)

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Q: Three vertices of a parallelogram are (-6,-7), (-3,2) and (5,3). Find the possibilities of the…

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Q: A cable of a suspension bridge hangs in the form of a parabola when the load is uniformly…

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Q: Orthocentre and circumcentre of AABC are (a, b) and (c, d), respectively. If the coordinates of the…

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Q: Sports Field. Suppose the elliptical track is centered at the origin and has a horizontal major axis…

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Q: Archeologists are studying a shipwreck on the ocean floor. The wreck site is roughly shaped like a…

A:

Q: 9. 8- 3-12-11-10 -9 -8-7-6-5 3-2-1, -2- -3- -6- -7- -8- -9- Write the parametric equation for the…

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