Find points P and Q on the parabola Y =1-X by the x-axis and the tangent lines at P and Q is an equilateral triangle. so that the triangle ABC form A P Q B /1 -05 05 -02 -04

Q: Circle Cı has centre (-2, 5) and radius 7. Circle C2 has centre (12, 5). a Given that the two…

A: C1 -2,5, r1=7C2 12,5,

Q: Lines AB and AD are tangent to Circle C. What is a possible length of AB? 2x + 5 3x2 + 2x- 7

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Q: 1. Consider the two points (1, -2) and (5, 1). a) Find the midpoint between the two points. b) Find…

A: The answer is found in step-2

Q: Lines AB and AD are tangent to Circle C. Find the value of x. 2x2 + 4 22 3 -9 22 ㄇ9 -3

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Q: A Ferris wheel has a radius of 40 feet. The lowest point on the wheel is 10 feet above the ground…

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Q: A bridge is built in the shape of a semielliptical arch. The bridge has a span of 120 feet and…

A: We have given The bridge has a span of 120 feet. Hence, the length of the major axis is 2a = 120 ⟹ a…

Q: 6. Find the equations of the two circles with centres A(1, 1) and B(9,7) which have equal radii,and…

A: Here the objective is to find the equation of two circles with centers A (1, 1) and B (9, 7) which…

Q: Let P(x, y) be a point on the parabola y = x2 in the first quadrant. Consider the triangle △PAO…

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Q: the hour hand on a clock has a length of 8 cm. Let the centre of the clock be at the origin (0,0) on…

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Q: A) Find the midpoint of the line segment from (3,4) to (5,1) Midpoint = B) Find x such that the…

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Q: . The line segment from (1, –1,3) to (0, –3, 1) forms a diameter of the sphere S1. Find the…

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Q: Q1 A line is drawn through the point (3, 3) making an angle of 45 with the positive direction of the…

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Q: E A- F В Line AC, Line AE, line EI and line CI are all tangent to circle F 5) line segment AD is…

A: We will use concept of congruence of two triangles.

Q: 11 A circle in the xy-plane has center (5,7) and radius Which of the following is an equation of the…

A: Please rate my answer, thanks

Q: Verify a Right Triangle:(a) find the length of each side of the right triangle, and (b) show that…

A: We know that, the distance d between two points x1,y1 and x2,y2 is given as d=x2-x12+y2-y12…

Q: Question: M is the middle point of the side AB of the parallelogram ABCD. Prove analytically that…

A: ABCD is a parallelogram.  M is AB mid point.  DB is a diagonal.  To prove:  MC and BD trisect.…

Q: Please answer in a two-column proof. The question is in the picture. Also, there is an example of…

A: We sketch the situation roughly  Given: C is the midpoint of arc ACB AB and CP cuts at E Prove:

Q: 6. The center of a circle is at (3,2) and its radius is 5 units. Find the equation of the circle in…

A: Given:    Center ( h,k) : (3,2)    Radius = 5

Q: Find an equation of the tangent line to the hyperbola defined by æ² – 3xy+ 2y? – x = 5 at the point…

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Q: Let A(-1,4), B(-3, 5), and C(0,9) be points on the Cartesian plane. Give an equation in standard…

A: Given points are A(-1,4),B(-3,5) and C(0,9)

Q: very the point lines on the graph of the unit circle

A: To verify that the point lies on the graph of the unit circle.

Q: A bird flies from its nest 5 km in the direction 60°north of east, where it stops to rest on a tree.…

A: The vector the bird used to go from the nest to the tree v1, has magnitude of 5 and its direction…

Q: 1. Use the distance formula to find the distance between two points with coordinates (6, 4) and (1,…

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Q: I'm currently not understanding how you would do this problem.

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Q: or axis parallel to the y-axis; ter: (2, 1); gth of major axis: 18 units; gth of minor axis: 10…

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Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

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Q: Line segments QR and ST are both diameters of a circle that passes through the point (3, 13.2). If…

A: We will find the area of circle as following.

Q: 4. A cyclist is travelling in a straight path at a constant speed along a dirt road with a button…

A: x = rt-sintMarks are 64π cm apart, that is each time dirt touches ground, at this point, dxdt=0=>…

Q: Suppose an angle a is drawn in standard position. In each case, use the information to determine…

A: We have to find the quadrant for the angle alpha which satisfies the following conditions  a)…

Q: A sphere has center in the first octant and is tangent to each of the three coordinate planes. The…

A: If the radius is r, then centre is (r, r, r) Given that distance between centre and origin is 3-3…

Q: Q4: A line is drawn through the point (2,3) making an angle of 450 with the positive direction of…

A: Note the result corresponding to straight line : Equation of line passing through with slope m is…

Q: 3. The angle between two curves is the angle between their tangent lines at the point of…

A: First we find the intersecting points.

Q: A circle of radius r centered at the point (0,r) in the plane will intersect the y-axis at the…

A: We have to draw the suitable diagram first.

Q: 30 Equation of circle A is 2y +2(x-3) -a=0. Find centre and value of a if radius is V5. A C(0,3) ;…

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Q: 1) Solve the right isosceles triangle, with longest side c = 1, A) in the Euclidean plane B) on the…

A: To solve the right isosceles triangle with longest side c=1 in the Euclidean plane. Since, in the…

Q: A circle as an equation of X2+Y2+2KY3D0. Find the value of K when the length of the tangent from…

A: Given equation of circle x2+y2+2ky=0and point  P (5,4) length of tangent  is  1

Q: b) Determine the gradient of each side of the triangle c) Using your answers in a) and b), justify…

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Q: Tangent PA and PB are drawn to the circle x2 + y2- 6x + 4y + 3 = 0 from the point P(-2, 4) then…

A: x2+y2-6x+4y+3=0 Now, compare above equation with x2+y2+2gx+2fy+c=0. c=3,g-3,f=2 So, the center and…

Q: 10.2.25 Question Help v Rail planners want to connect the two straight tracks with a curved track as…

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Q: 15. Parallel to the y-axis and 3 units to the left of the y-axis 16. Through (0, 4) and (2,0) 17.…

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Q: Q1. Two circles intersect at points 1 and 2. The coordinates of the centers of these circles are…

A: The equation of a circle which has center at (h,k) and radius r is: (x-h)2+(y-k)2=r2 The coordinates…

Q: Hw.2 Show that the triangle ABE IS right atA -where A(-l B(2,1,1),ccl,=2,2).

A: Using geometry

Q: 10. Three circles of radii 115, 150, and 225 m are tangent to each other formed by joining the…

A: Solution

Q: onstruct the INCENTER of the triangle. Label it R.

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Q: 1. Mis the middle point of the side AB of the parallelogram ABCD. Prove analytically that the line…

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Q: 3. A circle C has centre (3, 2) and radius 3. Find the points of intersection of C with the line…

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Q: Use Properties of Tangents 1. Draw two circles that have no common tangents. 2. Draw two circles…

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Q: secant line ABO intersects with tangent line CO at point O outside the circle. If BO=12.36m…

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Q: 1. Find an equation of the circle that satisfies the given conditions. (Use the variables x and y.)…

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Q: Verify that the point lies on the graph of the unit circle. (1/2, square root 3/2)

A: Given data:     The given point is: (a,b)=(1/2, 31/2/2).     The expression for the equation of the…