Points A and B in the Cartesian plane have coordinates (0,0) and (7,4) respectively.How many "Manhattan paths" are there from A to B.

Q: Find the equation of the perpendicular bisector of side of the triangle having vertices…

A: Slope of a line passing through two points x1,y1,x2,y2 is given by Y2-x1x2-x1 Midpoint of two points…

Q: In Cartesian space, the point form of a line is e: (x, y, z) = (2 + r, -3 + 2r, 5 – 5r). - 3. a)…

A: Given: The point form of a line is l:x,y,z=2+r,-3+2r,5-5r. Calculation: (a) It is observed from the…

Q: Given points A(3, -4, 2) and B(-12, 16, 12), point P, lying between A and B such that АР AB would…

A: problem is related to geometry

Q: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

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Q: Find all points with coordinates of the form (a, a) that are a distance 3 from P(-2, 1).

A: Given: P(-2,1) and distance is 3. To find the other coordinate point.

Q: Find an equation of the set of all points equidistant from the points A(-1, 5, 4) and B(6, 2, –1).

A: Given : A(-1,5,4) and B(6,2,-1) Let P(x,y,x) be at equidistance from A  and B Now find the distance…

Q: The coordinates of point P are (2,3,7). What is the exact distance between point P and the z-axis?

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Q: The midpoint of AB is M(-1, -5). If the coordinates of A are (3, –8), what are the coordinates of B?

A: A detailed solution is given below

Q: The end points of line segment 4, which lies in the xy-plane, are (-2, 5) and (6,-3). Which of the…

A: i have used the formula of midpoint of the two points and the slope point form of the straight line…

Q: and the coordinate planes.

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Q: If the rectangular coordinates of a point are (4, - 6),the point symmetric to it with respect to the…

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Q: Prove that the point (1,11),(2,15), and (-3,-5) are collinear and find the equation of the straight…

A: Let the given points be A (1,11), B (2,15), and C (-3,-5). Evaluate the slope of the line AB as…

Q: An angle is in standard position if its vertex is at the ________ and its initial side isalong the…

A: An angle is in standard position if its vertex is at the ________ and its initial side is along the…

Q: In Cartesian space, the point form of a line is e: (x, y, 2) = (2 + r, -3 + 2r, 5 5r). a) Find the…

A: In cartesian space, the point form of a line is  l : (x, y, z) = (2+r, -3+2r, 5-5r).   a) Find the…

Q: A line passes through the points (12 m, 8 m) and (-3 m, -5 m). Determine the perpendicular distance…

A: Given: Points: (12, 8) and (-3, -5)

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

A: a. The points are A0,-40, 0 and B (40, 0,-20) Obtain the distance AB:…

Q: The distance from point (2,1) to point (8,-7) is: | a 14 V14 C 10 d e 12

A: Webhave to find distance between given point.

Q: A power cable is to be fitted under a road and can be represented on 3D Cartesian axes as below,…

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Q: 1. Find the equation of the perpendicular bisector through: (2,-5) and (3,1)

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Q: Hoe would  you plot all three points on the same set of axes with  line segments between each pair…

A: area of triangle

Q: A yacht is travelling on a course parallel to and 80 kilometers from the straight shoreline of…

A: Given,         A yacht is traveling on a course parallel to and 80 kilometers from the straight…

Q: circle passing through (a, b) and cuts orthogonally to circle x? + y? = p², is

A: Introduction :

Q: The points P, Q and R have coordinates (8, 7), (−2,−1) and (−6, 5) respectively. Show that the…

A: The point P is (8,7) and find the equation of the line passing through the point (8,7).The line…

Q: 3. If the coordinates of point P are (4-3), then (R • R0)(P) is

A: Express the property of the composition of transformation. R90∘R180(P) The process must be done from…

Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

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Q: If the plane through the points P(1,1, –1),Q(3,0, 2), and R(-2,1,0), which of the following are…

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Q: The base of a triangle passes through a fixed point (f,g) and its sides are bisected respectively at…

A: y2-8xy-9x2=0 y2-9xy+xy+9y2=0y(y-9x)+x(y-9x)=0(x+y)(y-9x)=0 here we have two lines  L1:…

Q: If the plane through the points P(1,1, –1), Q(3,0, 2), and R(-2, 1,0), which of the following are…

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Q: The distance d of a point P to the line through points A and B is the length of the component of AP…

A: Solution:-

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: Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with…

A: According to given, Benjamin tells Alicia that she was not being very accurate. He says that the…

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: X, % . Point M is the midpoint of AB. If the coordinates of A are (-3,6) and the coordinates of M…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the points on z the point (1, 2, 3) axis which are at a distance /21 from

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Q: 1. Which of the following points in the standard (x, y) coordinate plane is farthest from the…

A: Find the distance of each given point from origin Using distance formula.

Q: Which point is three fourths of the way between point A and point B on the line segment AB shown on…

A: follow next step

Q: Find an equation that satisfies the given conditions  Foci (1,1) and (3,1); major axis of length 6

A: Given: Foci of an ellipse are (1,1) and (3,1)  Length of major axis is 6  We have to find the…

Q: A line segment has endpoints at A (-4,11) and B (2,3). Which of the following would be the…

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Q: Which of these points is closest to the point (7,1)?

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Q: Find a point which is equidistant from the points A (-5, 4) and B (-1, 6).how many such points are…

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Q: Describe a method for determining whether four points P , Q , R , and S , lie in the same plane

A: We know that if some points lie on the same plane, then their slope would be same.

Q: Find the distance from the point P(-1,3,-5) to the plane through the three points Q(3, 1, -3). R(4,…

A: The points passing through the plane are: Q3, 1, -3R4, 6, -5S5, -4, -6

Q: Fix one vertex at (0,a) in the (x,y)-plane and move another vertex along the x-axis. Show that the…

A: Given: A fixed vertex 0,a A second vertex moving along the x-axis. To show: The locus of the third…

Q: 1. Points A,B,C,D form a parallelogram, where A = (1, –2,3), B = (3, 1,2), and BC is parallel to i =…

A: Given that points A, B, C, D form a parallelogram, where A = (1, -2, 3) , B = (3,1,2) and vector BC…

Q: The midpoint of AB is M(1,3). If the coordinates of A are (-1, 5), what are the coordinates of B?

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Q: P, Q and How far is the point S from the plane that contains the points R?

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

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: A triangle has one side that lies along the line y =1/4x and another that lies along the line y = -…

A: our objective is to find vertex of the given triangle formed by two lines

Q: Are the points A(2, – 3), B(5, 1), and C(-4, - 11) collinear?

A: Given:A2,-3 , B5,1 and C-4,-11 collinearAB=AC+BCd=x2-x12 + y2-y12

Q: The midpoint of AB is M(1, 3). If the coordinates of A are (-1, 5), what are the coordinates of B?

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.