The wheel in the adjacent figure has a radius of 68 feet. The clearance between the wheel and the ground is 15 feet. The rectangular coordinate system shown has its origin on the ground directly below the center of the wheel. Use the coordinate system to write the equation of the circular wheel.

Q: Convert r 8 csc(0) to an equation in rectangular coordinates in terms of x and y.

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Q: Write the equation in standard form for the circle passing through (7,0) centered at the origin

A: Consider the circle passing through the point 7,0 which is centered at the origin 0,0. Here, the…

Q: 7x=28X+4y-84+4=0

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Q: Convert the equation p = 7 to rectangular coordinates and write in standard form.

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Q: Convert the rectangular equation x2 + y2 = 8x to an eq %3D

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Q: What are the coordinates of each image? Rx-axis(-5# 3) Rx-axis(1, 6)

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Q: Find the rectangular coordinates of the pair of points (6, π) and (5, 7π/4). Then find the distance,…

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Q: You have a cartesian equation: x-2 = y-3 = z and another cartesian equation: x-7 = y-2 = z-1 what…

A: Given, Cartesian equations, x-2=y-3=z and  x-7=y-2=z-1

Q: photo attached

A: Given equation is,r2 = 16The given equation can be written as,

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

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Q: Find the center & radius of the circle given by this equation: x² + y²- 8x + 4y - 16=0

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Q: Find the coordinates of the foci

A: To find the coordinates of the foci of the given ellipse

Q: In the rectangular coordinate system, the point of intersection of the horizontal axis and the…

A: To fill in the blanks

Q: Find the rectangular equation.

A: To get the rectangular equation from parametric equation, we try to eliminate the parameter.

Q: Find the equation of the line that passes through the origin and makes a 30° angle with the x-axis.

A: Our Aim is to find the equation of line that passes through the origin andmakes a 30° angle with the…

Q: convert to an equation in rectangular coordinates.  r = 2 csc θ

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Q: The equation (x − h)2 + (y − k)2 = r2 is the standard form of the equation of a ________ with center…

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

Q: Given the equation of a circle, (x+5) +(y-2) = 32, what are the coordinates of the center and the…

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Q: Complete the squares in order to write the equation of the circle. Then identify the coordinates of…

A: Given,           x2+y2+32x-20y+352=0We know that,         The equation of the circle with center,…

Q: Write the equation with rectangular coordinates. 2= 5cos20

A: given, r2=5cos2θ

Q: Which quadrant in the rectangular coordinate system does the point (r, 0) = (5, 300°) lie in?

A: (5, 300degree)

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: What three-dimensional shape does the following equation describe? Sketch the shape 22 4 16

A: The Equation represents  an ellipsoid

Q: Write the equation of OB with center B(- 2, 3) and radius 10.

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Q: The point is on the x-axis and 12 units to the left of the y-axis.Find the coordinates of the point.

A: Consider that the point is on the x-axis and is 12 units left to the y-axis. Find the coordinates of…

Q: what is the equation of the circle if it has a center at (6,0) and diameter equal to 12 units?

A: To find the equation of the circle if center is at (6,0) and diameter equal to 12 units. Solution:…

Q: Find the Cartesian coordinates of the given point. (- 5,0)

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Q: The area of the triangle which the line 2x - 3y + 6 = 0 forms with the coordinate axes is…

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Q: 4. While you are still at the station, you notice that each camp is visible on your vehicle's radar…

A: Camp coordinates: (3,3) (6,8) and (1.10) Mid points: (1.5,1.5) (4.5,5.5) (3.5,9) and (0.5,5)  We…

Q: The equation of circle E is given as (*-9)²+(y+ 4) =D81. The coordinates for the center of circle E…

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Q: when newspaper were printed by lithography, the newsprint had to run over three rollers,illustrated…

A: Given centres of A, B, C are collinear. Given equation (1) and (2) are equations of circles with…

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

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Q: A Ferris wheel has a maximum height of 236 feet and a wheel diameter of 220 feet. Find an equation…

A: Step 1Given : Maximum height = 236 feat.             Wheel diameter   = 220 feat.            Wheel…

Q: The equation of a circle is given by (x+ 4)² + (y+ 1)² = 36. Find the coordinates of the center of…

A: Given: x+42 +y+12 = 36 To find: The coordinates of center of given circle.

Q: Change the equation to rectangular coordinates. г(3 — Зсos 0) %3 2

A: Given: r(3-3cos θ)=2To change the equation into rectangular coordinates

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: Give the rectangular coordinates for the point. (-5, 120°)

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A: Given : -2,3π4

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Q: Plot the given point in a rectangular coordinate : (-4, 0)

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Q: The rectangular coordinates of a point are given. Plot the point. (3, 0) y 2-

A: Polar coordinate

Q: A mosque has a "keyhole" entry consisting of a rectangle surmounted by a circle. The two opposite…

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Q: The endpoints of a diameter of a circle are A (6, 5) and B (4, -1). What is the standard equation of…

A: The endpoints of a diameter of a circle are A(6,5) and B(4,-1). What is the standard equation of the…

Q: Vrite the equation for each circie with the given radius and center.

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Q: The equation of circle A is (x + 5)2 + (y - 1)2 = 9. What is the radius and center of circle A?

A: x+52+y-12=9⇒x--52+y-12=32 Now comparing with x-h2+y-k2=r2, we get h=-5,  k=1  &  r=3

Q: Plot the given point in a rectangular coordinate : (3, -2)

A: we have to plot the given point in a rectangular coordinate : (3, -2)

Q: Write the equation with rectangular coordinates. 2 = 16

A: The given equation r2=16

Q: Write the equation xy = -4; θ = 45°in terms of a rotated x′y′-system using θ, the angle of rotation.…

A: We have to write the given equation in standard form, in terms of a rotated x'y'-system using θ (the…