Use analytic geometry to classify the quadrilateral with vertices J(-2,1), K(2, 3), L(4, -1), and N(O.-3). Explain your reasoning and show all your work

Q: What are the lenghts of the segments into which the y-axis divides the segment (-6,-6) and (3,6)?.…

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Q: find aplane through Po (2,!,-1) and perpendicular to the line of Intersectionof the planes 2xty-Z=3)

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Q: Find the egmation for the Line" dhint passes through the point (,0) and parallel to the Line…

A: NOTE:Kindly repost the other question as a separate question.

Q: Do the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane? Justify your…

A: To check: If the points (1, 0,−1), (0, 2, 3), (−2, 1, 1), and (4, 2, 3) lie in the same plane and…

Q: Find distance from point (-6, 3, 5) to the plane – 2y – 4z = 8| -

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Q: a circle can also be represented in its general form which is written as for a circle to exist,…

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Q: A quadrilateral has coordinates R(-5,2),S(-1,3), T(-2,–1) and U(-6,– 2). Verify algebraically, that…

A: Let X be mid point of R(-5,2) and S(-1,3) ∴Coordinate of X is -5-12,2+32…

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: Use slopes and the distance formula to show that the quadrilateral whose vertices are (0,0),(1,3)…

A: Let the given quadrilateral be ABCD The vertices of the given quadrilateral are…

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

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Q: find the nature of triangle formed by the lines x2-3y2=0 and X=2

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Q: 2. Find the exact value of the distance between the line of intersection of the planes 2x - y + 2z =…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: find the nature of triangle formed by the lines x2- 3y2 =0 and X=2

A: Nature of triangle is isoscelene

Q: Find the length of the chord intercepted by the circle x2+y2-x+3y-22=0 on the line y=x-3

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Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

A: Cone Equation: z2=x2+y2 Given point: 3,-3,0 To find: the points on the cone nearest to the given…

Q: What are the coordinates of the point on the directed line segment from (-10, -1) to (-3,-8) that…

A: we have to find the coordinates of the point on the directed line segment into  a ratio 6 to 1

Q: In the coordinate plane, right triangle AXYZ is reflected over the line y = x. 5 3 X 2- -6 -5 -4 -3…

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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: find the distance from the point to the line. (3, -1, 4); x = 4 - t, y = 3 + 2t, z = -5 + 3t

A: Given Data The points is 3,-1,4. x=4-t. y=3+2t. z=-5+3t.   The line is passes through the points of…

Q: What are the coordinates of the point on the directed line segment from (-6,-6) to (9,-1) that…

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Q: Find the point on the line T = (-2, 2, 3) + t(4, 1, 1) that presents the shortest distance to the…

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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 the distance from the point (3, -4, 2) to the yz-plane

A: We have to find the distance from the point 3,-4,2 to the yz-plane. We know that if any point px,y,z…

Q: find the distance in space between the points (5,3,-2) and (0,0,1)

A: Use distance formula between two points

Q: origin. 104 8- -10 -4 -2 2 4. 10 8- -4 H. -8- -10 F' = G'%3= H' = 6. 6, 4, 2. 6.

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Q: Find the equation of the plane con taining the points Р(4, -1, 3) Q(1, -2, -1) and R(1, 0, 8)

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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: How do I verify that these points for a right triangle (4,0),(2,1),(-1,-5)

A: Given a triangle with points  A=(4,0) , B=(2,1) and C=(-1,-5)

Q: The point that is symmetric with respect to the y-axis to the point ( - 2, 5) is__________

A: It is known that the graph of y=fx is symmetric with respect to y-axis means f-x=fx=y.

Q: prove that points are collinear 3. P(-15,10), Q(0,-20), R(-10,0)

A: Given ; The points are P(-15,10), Q(0,-20), R(-10,0) .

Q: Use slopes and the distance formula to show that the quadrilateral whose vertices are (0, 0), (1,…

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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 from the point to the plane. (6, 0, -6), x - y = 4

A: x1,y1z1=6,0,-6…

Q: What are the coordinates of the midpoint of segment GH with endpoints G(-2, 5) and H(4, 1)?  a (-6,…

A: midpoint of segment GH with endpoints G(-2, 5) and H(4, 1)

Q: Datermine whether the graphs of y = 7x + 2 and 7x – y = 0 are parallel, perpendicular, or neither. v…

A: The slope-intercept form of a line is given by y=mx+c, where m is the slope of the line and c is the…

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

A: Distance = x2-x1+Y2-Y1+z2-z1

Q: What are the coordinates of the top point of an equilateral triangle if the corners of its base are…

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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: Write equations for the circles with radius 5 containing the points (-1, -4) and (4, 1). How many…

A: Given: The circles with a radius(r) is 5 containing the points (-1,-4) and (4,1) Then we have to…

Q: quadrilateral

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Q: Using the rule (x, y)-(-y, x) find the image points: A(2, 3) B(-5, 6) C(-1,-3) B'(, ) C(, ) A'(, )

A: 30. Using the rule (x,y)→(-y,x) Find the image pointsA(2,3)       B(-5,6)…

Q: Determine the type of quadrilateral described by set of vertices. Give reasons for your answers.…

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Q: What are the coordinates of the point on the directed line segment from (-8, 2)(−8,2) to (7,…

A: We have to find the coordinates of partition.  For this we will use the section formula

Q: A square has an area of 36 and one side that lies along the line y = 3. What could be the location…

A: To find the possible co-ordinates of square.

Q: 4. Triangle XIZ with vertices X(3,-2). I(6, 1), and Z(5, -7): 180

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Q: Find the length of the perpendicular drawn from point (2, 3, 4) to the line 4 1- 2 %3D 6 3

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Q: Find the distance between points A(1,1,0) and B(1,0,1)?

A: A1, 1, 0 & B1, 0, 1.

Q: Determine the ordinate of the third vertex (2,y) of a triangle with an area of 27 and two other…

A: Area of the triangle is 27 and the vertices are -4, 6,  2, -6  &  2, y.