Let P and Q be the points in R3 , with respective coordinates (3, −1, 2) and (4, 2, −3). Find the length of the segment PQ.

Q: find the distance d between the points P1 and P2. P1 = ( - 0.2, 0.3); P2 = (2.3, 1.1)

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Q: For the point P(2 segment PQ

A: Given points are: P21,-9 and Q26,-4 Then the distance between the points P and Q is given by:…

Q: find the distance d between the points P1 and P2. P1 = ( - 1, 0); P2 = (2, 4)

A: P1-1, 0  &  P22, 4

Q: Find all points on the y-axis that are a distance 6 from P(5,3).

A: A point on the y axis is of the form (0,k) , where k= real number. Let (0,k) is 6 units away from…

Q: 2. Construct a segment bisector for the given segment below. 3. Construct a line perpendicular to…

A: (2) We need to construct a segment bisector of the given figure These following Steps takes place…

Q: Use the above formula to find the distance from the point to the given line. (5, 3, -3); x = 1 + t,…

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Q: Find the midpoint of the following two points (4,8) and (3,7)

A: The two coordinate points  (4,8) and (3,7) We need to find the midpoint of the given two points.

Q: Find the coordinates of the midpoint of the line segment PQ. P(x-Z, r), Q(x + z, r) Select one: O A.…

A: The mid-point formula of a line segment is, x,y=x1+x22,y1+y22 where x,y is mid-point of the line…

Q: Given the points A(-9, -4) and B(7, 8), find the coordinates of the point P on the directed line…

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Q: Find the midpoints of the legs, then the length of the median of the trapezoid with vertices C(-4,…

A: Solution: Consider the given that vertices of trapezoid is C (-4, -3), D(-1, 4), E(4, 4), and F(7,…

Q: Given two points P(-9, y) and Q(x, -6), find the values of x and y so that the midpoint of the…

A: Given two points P(-9, y) and Q(x,-6). We have to find the values of x and y so that the midpoint of…

Q: Find the midpoint M of the line segment joining the points P = (-1, 6) and Q = (7, - 2). %3D M =

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Q: Find the distance of the point P to the line l, where l: 3x+4y=12 P:(2,-6)

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Q: Find the distance d between the following pair of points. (-1, –3), (-9, 6) d =

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Q: Find the distance, to the nearest hundredth, between the given points. P1(−5, −3) and P2(4, −2)…

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Q: For the points P and Q, find the coordinates of the midpoint of the segment PQ. P(-2, - 2), Q(4,2) O…

A: The given two points are P-2,-2 and Q4,2.We need to find the coordinates of the midpoint of the…

Q: Use the parallelogram to the right to find the measure of ZA. The measure of ZA is

A: we will use parallelogram law .

Q: For the points P,(-5,2,1) and P2(3,4,0), find the direction of P,P2 and the midpoint of line segment…

A: Solve the given

Q: Find all points on the x-axis that are a distance 5 from P(−2, 3)

A: Given,P (-2, 3) and distance,d = 5

Q: Find all points on the x-axis that are a distance 5 from P(−2, 4)

A: Given,           All points on the x-axis that are a distance 5 from  P(−2, 4)

Q: find the distance d between the points P1 and P2.P1 = (3, - 4); P2 = (5, 4)

A: Find out the distance d between the points P1 and P2. where P1=(3,-4)P2=(5,4) There is a formula for…

Q: find the distance d between the points P1 and P2.

A: We know, By distance formula, distance d between two points (a,b) and (c,k) is given by:…

Q: Find all points on the y-axis that are a distance 13 from P(12, 6).

A: To find: All the points on y-axis that are a distance 13 from P12,6. Concept used: The x-coordinates…

Q: find the distance d between the points P1 and P2. P1 = (1.2, 2.3); P2 = ( - 0.3, 1.1)

A: The question is taken from the Analytical Geometry in which we have to find the distance between the…

Q: In this exercise we use the Distance Formula and the Midpoint Formula. If M(1, 3) is the midpoint of…

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Q: O Find the distance from the point (2, 1, 4) to the line r = (-t,6 – 2t, 8 – t).

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Q: For the points P and Q, find the coordinates of the midpoint of the segment PQ. 2) P(-8, -5), Q(-2,…

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Q: Find the midpoint of the segment GH given: G(7, -5) and H(9, -1).

A: Given data: The first point given is G(x1, y1)=(7, -5). The second point given is H(x2, y2)=(9, -1).…

Q: Find the distance, to the nearest hundredth, between the given points. P1(−5, −3) and P2(4, −2)…

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Q: Find the distance d between the following pair of points. (3, 8), (6, 4)

A: Here we find distance d between the pair of points 3,8 and6,4

Q: Let P be a point not on the line L that passes through the points Q and R. The distance d from the…

A: We have to find the distance between the point P and the line L.

Q: For the points P and Q, find the coordinates of the midpoint of the segment PQ. 19) P(3, -9), Q(-9,…

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Q: Find all points on the y-axis that are a distance 6 from P(5, 3).

A: P5, 3 is at a distance of 6 units from the y-axis

Q: Segment KL К (12, 12) L(-6,6)

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Q: Find the distance between the given pair of points: 1 and 7

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Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Q: O Find the mid point of the segment with the following endpoints (-3Bob) and C3i0)

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Q: Find the distance between the given points. (- 3, 1) and (9, 6)

A: We have to find the distance between two points which we can find using distance formula which is…

Q: o Find the porition vectoos of the two points on the line whose distance foom the 08igin is Nio.

A: We rewrite the equation as r=i+2j+k+2λi-λj+λk=1+2λi+2-λj+1+λk So the distance of r from the origin…

Q: Find the distance, to the nearest hundredth, between the given points. P1(9, 3) and P2(11, 1) Find…

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Q: Use this formula to find the distance from the point P= (-2,3) to the line 3r – 4y + 5 = 0. 2. Let P…

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Q: Find the coordinates of the midpoint of the segment with the given endpoints. 5)E (0, 4) and F (4,…

A: The mid point of a line segment divides the line into two halves. The coordinates of a midpoint is…

Q: For the point P(4,22) and Q(11,27), find the distance d (P,Q) and the coordinates of the midpoint M…

A: Given points P(4,22) and Q(11,27) To find the distance d (P,Q) and the coordinates of the midpoint M…

Q: Find the midpoint M of the line segment joining the points P = (-7,-6) and Q = (-1, 2). M = OD %3D

A: We have to find the mid point between the two given points  P(-7,-6) ,Q(-1,2) .

Q: Find the coordinates of the midpoint of the segment with endpoints: R(12, 5) and K(10, 7).

A: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol…

Q: Find the coordinates of the midpoint of a segment with the given endpoints. 5. K(–9, 3), H(5, 7) 6.…

A: We find the coordinates of the midpoint of segment with givenend points5.k-9,3,tt 5,76. W-12,-7,…

Q: . Let P(2, –3, 6) and P2(2,2, -4). Find the coordinates of the point P on the line segment with PP =…

A: Given Data: The coordinates of point P1 is: P1x1, y1, z1=P12 -3, 6 The coordinates of point P2 is:…

Q: Find the coordinates of the midpoint of PQ with endpoints P(34, 2) and Q (14, -4). O (24, -1) O (-1,…

A: Find the coordinates of the mid-point.

Q: In this exercise we use the Distance Formula and the Midpoint Formula. If M(1, 7) is the midpoint of…

A: mid point formula  x =(x1 +x2)/2 y =(y1 +y2)/2

Q: d. (1,1/2), (1/2,-2) e. (2, -4), (0,7) f. (-2.5, -3.5), (6.5, -5.5)

A: We can find the distance using the distance formula as below.

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.