Determine whether or not the three points form a right triangle. Use the Pythagorean theorem to justify your answer. (1, –2), (–3, 4), and (5, –6)

Q: Find rectangular coordinates for (2, p/3)

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Q: Use the distance formula to determine which of the points C(-6,3) or D(3,0) is closer to the point…

A: Given points are C-6,3 , D3,0 and E-2,1 Use distance formula to evaluate the distance between C-6,3…

Q: Use the given information to write the standard equation of the circle. 24. a circle with center (1,…

A: Find equation of circle?

Q: Find equations for the altitudes of the triangle with vertices A(-3, 2), B(5, 4), and C(3, -8), and…

A: Given,           Altitudes of the triangle with vertices A(-3,2), B(5,4) and C(3,-8)

Q: 1) Which of the points (x, y) does NOT lie on the unit circle? a) O P(0, -1) b) (-3/3, 3/3) R…

A: Given :Equation of unir circle : x2+y2=1

Q: Determine the distance from the point (8,10) to the farthest point on the circle x2+y2=16y a. 17.85…

A: To determine the distance from the point 8, 10 to the farthest point on the circle x2+y2=16y.

Q: Plot the given point in a rectangular coordinate : (1, 4)

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Q: y A A -4 -2 4 В 6 x -2 C 42. Show that the triangle with vertices A(6, -7), B(11, -3), and C(2, -2)…

A: Given vertices of △ABC: A=6, -7B=11, -3C=2, -2

Q: Eliminate the parameter t to find a Cartesian equation in the form a = f(y) for: Sa(t) = - 4t2 Ty(t)…

A: The objective is to eliminate the parameters to find a cartesian equation in the form x=f(y).

Q: Find the location of the point P¡ is the frame a. X. P 25° X. 35° {b} Xa + {a}

A: this can be seen from the graph that in the frame a the x coordinate of point Pi is 4 units and the…

Q: Find the Center and vadius of the following (X-2) +(y-3)=16 Circle equation The equatiun is in the…

A: We compare with the general form of equation of circle to get the center and radius.

Q: In fig ,plot each point.Then plot the point that is symmetric to it with respect to (a) the…

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

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Q: Eliminate the parameter, then write the resulting equation in standard form for the given situation.…

A: GIVEN:- X=h+rcost y=k+rsint we will separate value the value of cost and sint from above given…

Q: Find the equation of the circle. Express the equation in standard form. Ay ..... 30 The equation of…

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Q: Sketch the reflection of the triangle over the x-axis T 5 -10 -5 5 10

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Q: Identify the point that lies on the unit circle. c. ) D. (- ,-) A. (- 40 9 (11 25 36 '36, 41 41 41.…

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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: Find the distance between points A and B. Y. Round to the nearest renth. B- 03

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Q: Find the rectangular coordinates of the pair of points (2, 2π/3) and (4, π/6). Then find the…

A: The given polar coordinates are (r,θ)=2,2π3Since, the polar coordinates…

Q: In what two quadrants do all the points have positive y-coordinates?

A: In quadrant I -> Both x-coordinate and y-coordinate are positive. In quadrant II ->…

Q: Directions: Identify the part of the circle.

A: answer is in next step

Q: In fig ,plot each point.Then plot the point that is symmetric to it with respect to (a) the…

A: The x-coordinate and y-coordinate of the point 4, -2 are 4 and -2 respectively. To plot the point 4,…

Q: Find the rectangular coordinates of the point P-). P(-)- P(-) x-coordinate of P 4 y-coordinate of P

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Q: Give the coordinates of the circle's center and its radius. x²+y?-64 = 0

A: x2+y2-64=0 We need to find the center and radius of the circle.

Q: write the standard form of the equation and the general form of the equation of each circle of…

A: Standard form: (x-h)^2+(y-k)^2=r^2Given (h,k)= (-2,1) and r=4. Answer: Standard form: (x+2)^2 +…

Q: a. Find the coordinates of the dilated figure by multiplying each coordinate by 3. A(1, 1) A' _ B(3,…

A: Given points of triangle : A(1,1)B(3,1)C(1,4)

Q: Find the distance d(A,B) between points A and B.  A(6,-5) B(-1,-11)

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Q: Find the distance and midpoint for A(5, 1) and Z(-3, -3)?

A: Distance between two pointsA(x1,y1) and B(x2, y2) is given byD =((x2-x1)2+(y2-y1)2Mid point is given…

Q: 1. Which of these angles is NOT coterminal with an angle of –150° in standard position? a. 210° b.…

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Q: Show that the equation represents a circle by rewriting it in standard form. x2 + y2 − 8x + 10y +…

A: Given: x2 + y2 − 8x + 10y + 25 = 0

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

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Q: The equation of a circle is given below. Identify the radi x² +y² - 4x+2y+1=0

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Q: Which of the following points is on the unit circle? ㅇ(-부 V31 -- /57 | 8. O (-1, –1) 1/2

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Q: Given A(-1, 2) and B(3, -4), find a general form of an equation for the perpendicular bisector of…

A: Given A(-1,2) and B(3,-4), find a general form of an equation for the perpendicular bisector of…

Q: The point P = (x, ) V3 lies on the unit circle shown below. What is the value of x in simplest form?…

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Q: Reflect the triangle in the y-axis. Then translate 2 units left. Polygon + Undo A Redo x Reset 3 2 1…

A: here first we do reflection about y-axis and then translate it in left direction 2 units.

Q: For the point P(-22,-12) and Q(-17,-9), find the distance d(P.Q) and the coordinates of the midpoint…

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Q: Ex.: Find the area of the triangle whose vertices are A(1,-1,0), B(2,1,-1) and C(-1, 1,2).

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Q: The point P=(x,-1/3) lies on the unit circle shown below. What is the value of x in simplest form?

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Q: Which point DOES NOT lie on the unit circle? ㅇ (금, -) 12 13 13 0(-4,-) O No correct answer

A: The unit circle is the circle of radius 1 that is centered at the origin. The equation of the unit…

Q: Directions: Soive for g and u and mZ0 in right triangle GUD, H m ZG 50.

A:

Q: Which circle does the point (-1, 1) lie on? O (x-2)2 + (y-5)2 = 25 O (x-5)2 + (y+2)2 25 (x-2)2 +…

A: Point lie on circle :When we substitute the coordinates of the point in circle which is equal to…

Q: Find the component form of v given its magnitude and the angle it makes with the positive x-axis.…

A: It is known that, Magnitude of vector v, || v || = 4 units  Angle made by v with x-axis, θ = 3.5°…

Q: You reflect triangle PQR, with vertices P(-2, -4), Q(-3, -1), and R(-4, -4), across the y-axis to…

A: To find the coordinates of the triangles P'Q'R'

Q: Which of the following points do NOT lie on the unit circle? b. (-) c.(-- a. с.

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Q: Mahmoud drives from his home to the local library, then drives to a grocery store, and then returns…

A: This question is based on geometry and distance formulas

Q: Find the point (x, y) on the unit circle that corresponds to the real number t. a. π/3 b. 5π/3

A: a). The coordinates on the unit circle can be derived using: x, y=cosA, sinA Here A is the angle.…

Q: Give the coordinates of each point A, B, C, D, and E. Also name the quadrant in which each point…

A: There are four quadrant in a graph  .first quadrant (+,+) points.second quadrant (-,+) points.third…

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.