Homework: find equation describing all points p-(x,y) equidistant from Q (1,-4) and R-(0,-3), note a circle with radius r and center at the point c-(a,b) consists of all points p-(x.y) which are at a distance of r from the center c: the points p which satisfy dis (p,c)-r.

Q: Is (8,2) inside, outside, or on the circle (x- 5)? +y = 16? Explain. The distance between (8,2) and…

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Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: Find the distance, to the nearest hundredth, between the given points. P1(0, 7) and P2(-4, 8) Find…

A: We need to find the distance.

Q: find aplane through Po (2,!,-1) and perpendicular to the line of Intersectionof the planes 2xty-Z=3)

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Q: 4. Write an equation of the circle that is tangent to both axes with radius VI1 and center in…

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Q: 3. (а) Find the equation of the chord of the circle x + y 81 which is bisected at the point (-2, 3)…

A: 3. (a) Given equation of circle is                                                         x2+y2=81…

Q: Find the distance, to the nearest hundredth, between the given points. P1(3, 7) and P2(5, 1) Find…

A: Given : P13,7 and P25,1

Q: 24 What are the center and radius of the circle 2 +y² + 4x = 5 ? whose equation is 1) (2,0) and 1 2)…

A: Using general equation of circle

Q: What is the equation of a circle with center (-5, 4) and radius V2? ㅇ (2+5)2 + (y-4)2 =2 ㅇ (2+ 5)2 +…

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Q: Use the Pythagorean Theorem to find the distance between the points (-3,5) and (-1, 1).

A: Pythagoras Theorem is applicable on right angle triangle. Hypoteneous2=(perpendicular)2+(base)2…

Q: Plot two points that are both 3 units away from the x-axis and 3 units away from (5, 4). (Hint: Use…

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Q: An object is traveling along a path described by y = x + 3. Where along that path will the object be…

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Q: lentify the center and radius of the circle defined by the equatic x – 2)² + (y – 3)² = -

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Q: Point P(x,y) moves with a distance from (0,1) one-half of its distance from line y = 4. What is the…

A: In this question, we have given  The distance from p(x,y) to (0,1) is one-half of the distance from…

Q: 4. The equation of a circle is (x- 3)+y = 8. The coordinates of its center and the length of its…

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Q: At what point in the first quadrant does the line with equation y = 21 + 5 intersect the circle with…

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Q: What is the standard equation for the circle with center (7, 3) and radius 3? O (x-7,2 + (y- 3)2 - 3…

A: Equation of circle with center (h,k)and radius r (x-h)²+(y-k)²=r²

Q: Find a path that traces the circle in the plane y = -1 with radius r 2 and center -4, -1,0) with…

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Q: Q1 What is the center and the radius of the the circle(x + 4)² + (y + 6)2 = 64? %3D O center…

A: see 2nd step.

Q: Find the points of intersection between the line x + y - 4 = 0 and the circle x 2 + y 2 = 16.

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Q: Find the distance from the point A to the line through the points B and C where A, B, d C have the…

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Q: A circle with radius 2 contains the point (1,-4). Which of the following equations best describes…

A: The given point is 1, -4The radius is 2

Q: 253. Find the distance between point A(-3, 1, 1) and the line of symmetric equations x=-y=-z.

A: Let B(a,b,c) be a point on a given line with direction vector v⇀=(x,y,z). Then distance of  a point…

Q: Find the distance between the pair of points. Enter your ar. wer in the box. (-3, -6) and (-3, 1)…

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Q: 4. A (-3, 1) 5. P(4,-3) and М(2, 2) Q(-1,4) and

A: The points are:4) A-3, 1 and M2, 25) P4, -3 and Q-1, 4To find the distance between them.

Q: 21. Write the standard equation of a circle with center (-4, 0) and radius 3. (x- 4)2 + y2 = 3 (x+…

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Q: What is the equation of a circle with center (-3, 5) that passes through the point (1, 5)? 2 OA…

A: To find the equation of the circle having center (-3, 5) and passing through the point (1, 5)

Q: find the distance between points P1 and P2. P1(5, 3, -2), P2(0, 0, 0)

A: Given points are 5,3,-2 and 0,0,0.

Q: The equation of a circle with center (2,8) and radius 10 is O (2- 2)+ (y- 8)' = 10 O (2 + 2) + (y-8)…

A: Equation of a circle with centre (a,b) and radius r is given by (x-a)2+(y-b)2 = r2 here a = 2 b = 8…

Q: Find the point P on the line y=6x that is closest to the point (74,0).  Type an ordered pair.

A: Given:The line y = 6x and a point (74,0).Let p be the point that is closest to the point (74,0). Let…

Q: give a geometric description of the set of points inspace whose coordinates satisfy the given pairs…

A: The line x = 2, passes through the point (2, 0) on the x-axis and is parallel to the y-axis. The…

Q: ost Test 4. Find the equation of the circle. +++++ (r-1)° + (y+ 5)° - 16 C. (*+1)* + (y-5)° - 16 С.…

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Q: Entong is standing on a location with coordinates ( 5,3) on a cirde, while Senyang is at ( 1,1) who…

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Q: Choose the correct option. If the locus of the circumcentre of variable triangle having sides x = 0…

A: From the given information Coordinates of A is (0,2) At B , the value of y is 2…

Q: 7. If the point G(3, 2) is transformed according to the rule (x, y) -> (x, y + 2) what are the…

A: Given Points : G ( 3 ,2 )

Q: Write equations for the circles with radius 5 containing the points (-1, -4) and (4, 1). How many…

A: Given: The circles with a radius(r) is 5 containing the points (-1,-4) and (4,1) Then we have to…

Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

A: Let the arbitrary point be Px,y,z. Consider that the distance between two points is given by the…

Q: 4. The equation of a circle is x2 + 14x + y2 -2y 14. What are the coordinates of the center and…

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Q: The coordinates of the points A and B are (-2, 3) and (4,1), respectively. An equation of the circle…

A: Please consider the handwritten solution.

Q: B. Find the intersection points of the circle with center (2, 2) and radius 2√2 and the line that…

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Q: 7. Show that: x² + 8x + y2 – 10y - 8 = 0 is the equation of a circle. What is the center of this…

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Q: Equation of the circle with center (-4, 9) and radius 8 is

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Q: Using the rule (x, y)-(-y, x) find the image points: A(2, 3) B(-5, 6) C(-1,-3) B'(, ) C(, ) A'(, )

A: 30. Using the rule (x,y)→(-y,x) Find the image pointsA(2,3)       B(-5,6)…

Q: What is the equation of the circle with the given parameters? Center: (13, -13) Radius: 4 O (r +13)?…

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Q: Fidn the distance between parallel lines with equations Y=-x+2 and Y=-x+8

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Q: Find a path that traces the circle in the plane y=5 with radius r=2 and center (-1,5, -4) with…

A: The radius if circle = 2 and center (-1,5,-4) The equation of such circle is given by: The…

Q: A radio signal can transmit messages up to a distance of 5 km. If the radio signal's origin is…

A: Given that radio signal can transmit messages up to a distance of 5 km origin = (-2, 7)

Q: The distance between the points (4, 3) and (2, y) is 8 What is/are the coordinate(s) of y?

A: as per the bartleby guidelines ..I can only do first question.thank you

Q: Find the distance between points A(1,1,0) and B(1,0,1)?

A: A1, 1, 0 & B1, 0, 1.