Use this fact and  find the acute angles between the lines in Exercises 47–51. 47. 3x + y = 5, 2x - y = 4 48. y = sqrt(3)x - 1, y =-sqrt(3)x + 2 49. sqrt(3)x - y =-2, x - sqrt(3)y = 1  50. 3x - 4y = 3, x - y = 7 51. 12x + 5y = 1, 2x - 2y = 3

Q: The distance between the points (2,0,2) and (-2,0,2) is 4/2. True False

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Q: 2. At what point greatest angle. on the line y = b does the line segment from (0,0) to ( a,0)…

A: To find the point on the line y = b  that subtend the greatest angle on the line segment from (0, 0)…

Q: In Exercises 25–30, find the distance between points P1 and P2. 25. P1(1, 1, 1), P2(3, 3, 0) 26.…

A: Given,

Q: 9 What is the distance between points (-10, 6) and (-2, 2) on a coordinate plane?

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Q: Find angle = [0,] between the lines z = 2 + 3t, y=4-t, z=3+2t and x=1-8,y=5+28, z=6+38. Lütfen…

A: The angle between the lines x=2+3t,y=4-t,z=3+2t and x=1-s,y=5+2s,z=6+3s is to be determined.

Q: What is the distance between points A=(2,5)A=(2,5) and C=(−3,2.5)C=(-3,2.5)?

A: Given:A= (2,5) and C= (-3,2.5)

Q: 2) What is the distance between points (-1, 3) and (5, -2)?

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: What is the distance between points (5, 2) and (1, -3) on a coordinate plane? 4.1 © 8.5 6.4

A: We can use distance formula to find distance between two points (x1,y1) and (x2,y2).

Q: Calculate the distance between the points P = (-7, 0) and N=(-4, -6) in the coordinate plane. Give…

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Q: distance

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Q: 3. What are the new coordinates of line segment AC if the triangle is dilated using a scale factor…

A: What are the new coordinates of line segment AC if the triangle is dilated using a scale factor of…

Q: Find the EXACT distance (do NOT round) between these two lines. L1: [x, y, z] = [1, 3, 7] + t[–1,…

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Q: What is the distance between the points? 4 # EN

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Q: Calculate the distance between the points N= (-1, -2) and G = (4, -8) in the coordinate plane. Give…

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Q: Calculate the distance between the points F = (1, -1) and Q= (7,-8) in the coordinate plane. Give an…

A: Given are two points F(1,-1) and Q(7,-8) FQ=1-72+-1--82=>FQ=-62+72=>FQ=85

Q: In Exercises 33–34, find the distance from the point to the line. 33. (2, 1, 3); x = 2 + 2t, y = 1 +…

A: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the question…

Q: Sketch the second order spline that fits the end points PO (0,0), P2(9,4) and tangents intersection…

A: Here we need to sketch the second order spline that fits the end points P0 0,0, P2 9,4 and tangents…

Q: Find the distance between 4y + 3x = 4 and point (0, 5) O 3.4 O 3.2 O 2.8 3

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Q: What is the distance between the origin and the point (4, 3, 3)

A: To find the distance between the origin and the point (4, 3, 3)

Q: Calculate the distance between the points Q = (-7, 9) and K = (-2, 2) in the coordinate plane. Give…

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Q: Sketch the translation of the triangle with the rule (x, y) → (x+5, y+1). T 5- -10 -5 10 -5- 5

A: The coordinates of vertices of the blue triangle (1st quadrant) are A1, 1, B3, 1 and C3, 5. Now, Use…

Q: Describe all situations where vertical angles are also supplementary.

A: Here we have to Describe all situations where vertical angles are also supplementary.

Q: Find the distance between two lines ()1=4-x , y;=- (x+2).

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: if (u, v) and (s, t) are two distinct points in the plane, what is the distance between them?…

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Q: Find the distance between the point (-2,3) and (1,7)

A: According to question given-2,3 and 1,7We have to calculate the distance between the point.

Q: What is the distance between the point P(-2,5, 3) and Q(6, 4, -2)? | O 3/10 O 2v22 O 90 O 4/3

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Q: What is the distance between points (0,0) and (-3,4)?

A: Given points are  We know that distance between the points (x1,y1) and (x2,y2) can be calculated by…

Q: At what point on the line y = -b does the line segment from (0, 0) to (a,0) subtend the greatest…

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Q: Suppose you want to determine exactly where the lines y = 2z – and y = 3 – 3z intersect. Use algebra…

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Q: In Exercises 33–34, find the distance from the point to the line. 33. (3, -1, 4); x = 4 - t, y = 3 +…

A: Note:We’ll answer the 33th question since we answer only one question at a time. Please submit a new…

Q: Find the angle between the straight-lines 3x – 2y + 9 = 0 and 2x + y – 9 = 0 ?

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Q: What is the midpoint of line segment XY with coordinates X (-4, 10) and Y (8,6)? (-6, 2) (3, 7) (-7,…

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Q: In Exercises 33–34, find the distance from the point to the line. 33. (0, 0, 12); x = 4t, y =-2t, z…

A: We’ll answer the 33th question since we answer only one question at a time. Please submit a new…

Q: Find the distance from the point (3, 2, 5) to the line 0, y = 2+ 2t, z = 5 + 2t.

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Q: What is the distance between points F(2, 9) and G(-2, 6)? Round to the nearest whole number.…

A: Distance between two points A(x1 , y1) and B(x2 ,y2 ) is given as D = (x1-x2)2 + (y1-y2)2

Q: Find the midpoint of the segment joining (4, −6) and (2, −6). (x, y) =?

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Q: Find the distance between the pair of points. (2, 6) and (-7, -4) 90 -1 O Visi 181 O vio

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Q: Calculate the distance between the points P = (-7, 6) and N=(-2, 2) in the coordinate plane. Give an…

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Q: Find the distance between the point (-2, 4) and the point of origin. * O 4 O 2v5 O 5v2 O 5

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Q: What is the image of the triangle shown after a translation with the rule (x, y)→ (x-3, y+3)? 8 4 -4…

A: Given: The rule for the translation is x, y→x-3, y+3.

Q: Calculate the distance between the points M=(-9,8) and L=(-1, 1) in the coordinate plane. Give an…

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Q: How to use the trapezoidal rule to approximate distance travel?

A: The trapezoidal rule is used to estimate the area under the curve. The expression for the…

Q: Calculate the distance between the points L= (8, 0) and K=(1, -4) in the coordinate plane. Give an…

A: we know that distance formula between two points…

Q: ent between (2,4) and (1,-3)?

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Q: Find the distance between (4,3) and (-3,4) Endpoints: (q-12), (6, p) Midpoint : 3,4)

A: Let , given points x1,y1 =4,3 and x2,y2=-3,4The distance between the point is given by…

Q: What is the distance between two points (2.4) and (5,3)

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Q: Calculate the distance between the points M-(-2,-2) and H-(3,-8) in the coordinate plane. Give an…

A: To find the distance between the points M=(-2,-2) & H=(3,-8). Now, note that the distance…

Q: G find the distance between fwo point (-6, 1,4), (4,0,-5)

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the distance between the point (-2, 5, 3) and the z-axis?

A:

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.