2. In the standard (x, y) coordinate plane, a line segment with the endpoints (-1,3) and (4, 3) is one side of a square. What is the area of the square?

Q: The distance from the point P(3, 1,0) and the line x = 3 – 6t y =1+ 3t z = 7t equals to Answer:

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Q: . Calculate the area of the triangle formed by the line 3x-7y+4 =0 , and the (ans.: 8/21) axes.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: The distance between the points A = (-3, –2) and B = (3,3) is,

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Q: Consider a quadrilateral with vertices ܵS(-7, 2), Q(0.5, 3), R(3/2, -9/2), E(-6, -5.5) Determine…

A: The given question can be solved by using distance formula and the property of various types of…

Q: 4. Use slope and/or distance formula to show that quadrilateral DUST is a square. D(-1,7), U(7,1),…

A: Given co-ordinate is : D=-1,7U=7,1S=1,-7T=-7,-1 Use distance formula having co-ordinate is x1,y1 and…

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: 5. Find the bisectors of the angles between the lines, 2x-y 1 and 11x +2y= 5.

A: Given, lines, 2x-y=1,  11x+2y=5 now find angle bisectors between lines we know the formula of…

Q: 4. What is the equation of a line parallel to the diameter of circle A, with a center at (-5,7) and…

A: Given query is to find the line which parallel to the given line.

Q: Find an equation of the line that satisfies the given conditions. Through (4, 6);  perpendicular to…

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Q: Find the point of intersection of the lines: y = 4x + 1 and y = -2x +4 %3D o (2,9) 으(4,2) ㅇ (4,3) O…

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Q: Find the equation of the line through point (3,7,-11) y is perpendicular to the xz-plane

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Q: 14) Write the equation of the perpendicular bisector of segment QR if Q(3, -2) and R(7, 6)

A: Find the equation

Q: . In the standard (x, y) coordinate plane, a line segment with the endpoints (-1, 3) and (4, 3) is…

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

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Q: What value of x would prove that lines /and m are parallel?

A: Given that lines m and l are parallel.

Q: -In the standard (x, y) coordinate plane, the endpoints of a segment are (2, 7) and (12, 19). What…

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Q: If M is the midpoint of the line segment joining points A and B, and A is the point (-2 , 1) and M…

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Q: Find the distance from the point (3, 5, 1) to the line æ = = 0, y = 5 + 2t, z = 1+ 3t.

A: Given line x=0, y=5+2t, z=1+3t Therefore line passing through the point (0,5,1) and direction ratio…

Q: If the line joining the two points (5,4)(5,4) and (3,−k)(3,−k) is parallel to the line kx−9y+11=0…

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Q: Find the distance from the point (3,-1, 4) to the line a = 4 – t, y = 3 + 2t, z = -5+ 3t.

A: Given: point 3,-1,4 and equation of line x=4-t, y=3+2t, z=-5+3t Formula: The distance between point…

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 can I find the Intersection of a line and a Quadrilateral in R^3   R^3 =   [1,0,0]…

A: Intersection of a line and quadrilateral equation R3: R3=1,0,0,0,1,0,0,0,1 First we have to create a…

Q: 9. In the standard (x, y) coordinate plane, line e contains the points (3, 5) and (5,8) and line m…

A: We have to find out k

Q: Find the coordinates of the midpoint of the line segment joining the points. (2, 0, −3), (8, 6, 15)…

A: The solution is given below

Q: 9. Are the lines parallel, perpendicular or neither. Show work. 4. y3-x+2 3 3x+4y = 4 %3D

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Q: Find the distance between the following paris of parallel straight lines  9x2-6xy+y2+18x-6y+8=0…

A: To the distance between the following pairs of parallel straight lines  The given pair of line…

Q: W Y

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Q: 1. In the standard (x, y) coordinate plane, the endpoints of a segment are (2, 7) and (12, 19). What…

A: The endpoints are 2, 7 and 12, 19To find the x-coordinate of midpoint.

Q: 15. If the coordinates of one endpoint of a line segment are (3, -3) and the Coordinates of the…

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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: If M(3, 10) is the midpoint of the line segment AB and if A has coordinates (−1, 2), find the…

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Q: If c>+, how many lines through the point (0, c) are normal lines to the parabola y = 3x2? normal…

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Q: If a line segment has endpoints A(2x + 7,4y) and B(4x + 3,- 2y), what are the coordinates of the…

A: A line segment has endpoints A2x+7, 4y and B4x+3, -2y

Q: 3. Find the area of the quadrilateral enclosed by the lines x y = 0, 2x – 5y = –15 and 5x – 2y = 15.…

A: Let's find.

Q: Find the length of the line segment described by, (x,y,z)=(1,2,1) +t(-1,5,4)), where 0<t<5.

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Q: What is the distance from the point S(-2, 3, -2) to the line of intersection of the planes 2x + 3y +…

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Q: 2- The line perpendicular to the triangular (PQR) and through the point (P) if P(1,-1,2), Q(0,3,1),…

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Q: How Find the Distance from Fant(1,3) and Line y =4

A: The distance between a point x0, y0 and the line ax+by+c=0 is given by d=ax0+by0+ca2+b2. The given…

Q: 2. Find the area of the triangle formed by the lines 5x + y – 14 = 0, x+ 7y + 38 = 0, and 9x – 5y +…

A: Given equation of lines are 5x+y=14; x+7y=-38 and 9x-5y=-2. We have to find the area of the triangle…

Q: Find the midpoint of the line segment with the given endpoints. 3. (4,-1) and (-5,9) 7.2.1 Core…

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Q: Is the line that contains the points P1(−3, 1) and P2(1, 3) perpendicular to the line that…

A: We can check the line joining the points are perpendicular or not as per the concepts as below.

Q: Find the z-coordinate of the foot of the perpendicular from A(1, 1, 1) on the line joining B(1, 4,…

A: We will solve the problem.

Q: 2. Find the area of the triangle formed by the lines Sz + y – 14 = 0, z + 7y + 38 = 0, and 9z – 5y +…

A: First we find vertex of triangle by using given lines.

Q: What is perpendicular to the line x/2+y/4=1

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Q: If A(-2,4) and B(6,6) are two given points, then the coordinates of M midpoint of the line segment…

A: Given a line segment with two end point coordinates as A(-2, 4) and B(6, 6). We have to find the…

Q: Let M(4, –5) be the midpoint of a line segment joining two points A and B. If the coordinates of A…

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Q: What is the area of the triangle formed by the lines y=-2x+6, y=-2, and x=0

A: Find the solution below

Q: 3. What is the equation of a line that passes through A(-1,-1) and is perpendicular to segment BC:…

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Q: Find the product of the lengths of the perpendiculars drawn from (2,1) upon the lines…

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