Use slopes and the distance formula to show that the quadrilateral whose vertices are (0, 0), (1, 3), (4, 2), and (3, - 1) is a square.

Q: find the exact distance between the points.  (-1,-5) and (2,4)

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

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Q: What is the distance between the points A: (-2, -4) and B: (-4, -2)?

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Q: Find the midpoint of the sides of the quadrilateral LOVE with vertices L(-3, -2), O (0, 6), V(4, 4),…

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Q: Use slopes to show that the square with vertices at (-2, 5)9, (4, 5), (4, -1), and (-2, -1) has…

A: To show: The diagonals of the square are perpendicular to each other. Given: The vertices of square…

Q: find the midpoint of the line segment whose endpoints' coordinates are (4,6) and (-2,4) using the…

A: find the midpoint of the line segment whose endpoints' coordinates are (4,6) and (-2,4) using the…

Q: Find the distance between the points A = (2, 0, (2, 0, 1) and B = (4, 5,-2)-

A: Given that two points   A =2, 0, -1     and   B = 4, 5, -2      If two points were given, then…

Q: Use slopes to show that the quadrilateral with vertices at (1, 3), (-5/2, 2), (-7/2, 4), and (2, 1)…

A: Given that Vertices of quadrilateral are A1, 3, B-72, 4, C-52, 2 and D2, 1   It is known that the…

Q: Find the distance between the points p1and P2. P1 =(3, -4); P2 =(5, 4)

A: We have two points of the form P1x1,y1=3,-4  ,  P2x2,y2=5,4. Distance between two points is…

Q: Determine what type of quadrilateral TUNE is if T (0, 10), U (4, 2), N (-2, -1), and E (-6, 7).  Use…

A: We have to find the type of quadrilateral TUNE is if T (0, 10), U (4, 2), N (-2, -1), and E (-6, 7).…

Q: 3) Write an equation in point-slope form for the perpendicular bisector of the segment with ndpoints…

A: line passing through point p(6, 3) and Q(2, -3)  To find:- Point - slope form Equation of line which…

Q: Find the line L, that passes through the point P(-2,2) and perpendicular to the line L2: 2x+y=4.

A: We need to find equation of line L1 passing through (-2,2) and perpendicular to line L2 : 2x+y=4

Q: Find the distance between the points (2,-4) and (-5,3).

A: We need to find the distance between (2, -4) and (-5, 3).

Q: Quadrilateral ABCD has diagonal AC represented by y 2x + 5 and BD represented by y=-X 4. Based on…

A: We have given quadrilateral ABCD   Diagonal AC is represented by y=2x+5   Diagonal BD is…

Q: Use slopes to show that the quadrilateral whose vertices are ( - 1, 0), (2, 3),  (1, - 2), and (4,…

A: Use slopes to show that the quadrilateral whose vertices are ( - 1, 0), (2, 3),  (1, - 2), and (4,…

Q: The midpoint of a line segment whose endpoints are (x1, y1) and (x2, y2) is (______ ,________ ).

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Q: Use slopes to show that the quadrilateral whose vertices are (1, - 1), (4, 1),   (2, 2), and (5, 4)…

A: Formula used: The slope of a line passing through the points x1,y1,x2,y2 is given by  m=y2-y1x2-x1.

Q: How do you find the distance between the pair of points (4,7) and (-3,-2)?

A: Given:Pair of points:(4, 7) and (–3, –2)

Q: Find the distance from the point (-2,2,-1) to the line a(t) = (- 2, 3, 2)t + (8, 0, - 7).

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Q: find the distance between points P1 and P2. P1(1, 4, 5), P2(4, -2, 7)

A: given: two points P1 and P2. P11,4,5P24,-2,7

Q: Find the distance between the pair of points. 4 -2 and 4 5 - 5'6

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Q: Use slopes to show that the square with vertices at (-2, 5), (4, 5), (4, -1), and (-2, -1) has…

A: Given that the four vertices of the square are: A4, 5 ,B-2, 5 ,C-2, -1 and D4, -1   If a line passes…

Q: find all points on the y-axis that are a distance of 6 from the point (3,-1)

A: Let the point is (0,y).

Q: Find the midpoint between the coordinate points (1, - 4) and (4, 0).

A: We can solve the problem by the formula of obtaining midpoint.

Q: 2. F(-1, 1), G (1, 3), Н (4, -2), and I (2, —4)

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Q: Find the distance from the Point to the given line X- 1+t, y- 3-2t, z-4-3t and point 6. (4,1,-2)

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Q: What is the slope of the altitude from vertex B to side AC of a triangle whose vertices are at A(2,…

A: Given problem:- What is the slope of the altitude from vertex B to side AC of a triangle whose…

Q: Find the distance of the point (6, – 3) from the line 2x – y+4=0.

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Q: Use slopes to show that the triangle whose vertices are ( - 2, 5), (1, 3), and      ( - 1, 0) is a…

A: Let, (x1, y1) = (-2, 5), (x2, y2) = (1, 3), and (x3, y3) = (-1, 0)

Q: Find the distance between the points p1 and P2. P1 =(4, -3); P2 =(6, 4)

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Q: Use slopes to decide whether the triangle with vertices at (6, 5). (- 3, 0), and (4, - 2) is a right…

A: Given : The vertex of the triangle are : 6, 5, -3, 0, and 4, -2 We have to use the slopes to decide…

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

A: Distance between two points (x1, y1, z1) and (x2, y2, z2) is given by :

Q: Find the distance between points P1(0, 0, 0) and P2(-6,-2,5).

A: Distance = x2-x1+Y2-Y1+z2-z1

Q: Which of the points A(-4,0,–1), B(3,1,–5), and C(2,4, 6) is closest to the yz-plan Which point lies…

A: Given: A(-4,0,-1)  B(3,1,-5)  and C(2,4,6) To find: Which is closet to the yz plane Which is lies on…

Q: find the distance between points P1 and P2. P1(-1, 1, 5), P2(2, 5, 0)

A: Given points are: P1=(-1, 1, 5) and P2=(2, 5, 0) The formula to find the distance between two point…

Q: Find the ration in which YZ -plane divides the line joining A(2,4,5) and B(3,5,-4) .Also find the…

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Q: Find an equation of a line containing the point (1, 7, -3) and parallel to the yz- plane.

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Q: Find the distance between the points (-2, 3) and (4, -5)

A: topic - coordinate geometry

Q: Find the distance between points A (6, -2) and B (-6, 2).

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Q: Find the distance from the point (-2, 1, 4) to the plane x = 3

A: Given: The point -2,1,4 and plane x=3 To find: Distance from the given point to the given plane.

Q: find the distance from the point to the line. (-1, 4, 3); x = 10 + 4t, y = -3, z = 4t

A: Given  Point = P (-1, 4, 3) Equation of line : L1 :  x = 10 + 4t, y = -3, z = 4t Rewrite the…

Q: Find the distance between the two points (-5, 4) and (3, 8).

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Q: Find the di stace between the Point (-15, ) and the Origin

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Q: Find the distance between the pair of points. 6 (-) m () 6 -5.13 and 5, 13

A: Here given p[oints as Use the distance formula between two points which states

Q: 7. In the standard (x, y) coordinate plane, the point (2,7) is the midpoint of the line segment with…

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Q: Find the perpendicular bisector for the line segment with endpoints (5,2) and (-7,8)

A: Given query is to find perpendicular bisector for the points.

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

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Q: Find the distance between the pair of points. (3, -7) and (7, -1)

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