If a path of length 10 is randomly selected between point O(0,0) and point A(4,6), and movement is restricted to only travel along line segments connecting points with integer coordinates and parallel to the coordinate axes, calculate the probability that the path will intersect point B(1,2).

Q: A circle passes through the point (6, 2). If segments of the straight lines x + y = 6 and x + 2y = 4…

A: We can find the radius as below.

Q: What is the distance from point H(6, 10) to K(-4, 2)?

A: Distance

Q: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

A:

Q: The line through (1, 2, 3) that is perpendicular to the lines x = 3 - 2t, y = 5 + 8t, z = 7 - 4t and…

A:

Q: Find the slope of the line through the given points (2, -2) and (7, -1)

A: Given points are (2,-2) and (7,-1)We know that slope for the points (x1,y1) and (x2,y2) is…

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: How would I draw a diagonal line starting at (6,3) and ending at (7.5,1.5)? And then another from…

A:

Q: A volcano is located at the point (1,3). Scientists have determined that a possible eruption of this…

A: Given point =1,3 radius =4

Q: Use v=<3/5,4/5>,w=<-4/5, 3/5>, to verify the Parallelogram Law

A: The given vectors are

Q: If a line L is parallel to the y-axis and pass through the point (1, 0, 1), which of the following…

A: Given query is to find the point which are on line L.

Q: What are the coordinates of the point on the directed line segment from (-6, –6) to (-4, 10) that…

A: we have to find point

Q: The line containing the median of the trapezoid whose vertices are R(-1, 5) , S(1, 8), T(7, -2), and…

A:

Q: A line passes through the origin and (8,2) Select all points that line on this line

A: The objective of this question is to find all the points that lie on a line that passes through the…

Q: Suppose a line runs through two points: p=(3,2) and Q=(15,8) What the slop of the line

A: Given: A line passes through two points  P = 3, 2Q = 15, 8 To find: The slope of the line.

Q: Line l contains points (1,2) and (5,4). Find the distance between line l and the point P(1,7).

A: Topic = Coordinate geometry

Q: How to calculate the slpoe of the lines given (0,0) (5,2)?

A:

Q: Assume a line y = mx + c, [asses through the points (1, 15) and (-3, -5) Determine the slope, m, of…

A:

Q: What are the coordinates of the point on the directed line segment from (3, 3) to (10,-4) that…

A: General formula

Q: In hyperbolic geometry, show that two parallel lines converge continuously in the direction of…

A: Angle of parallelism: Angle at the non-right angle vertex of a right hyperbolic triangle having two…

Q: What is the distance from point T(12, -5) to S(-8, 14)?

A: We have to find the distance from point T(12, -5) to S(-8, 14).