1.) Willy is standing 30 m due north of point P. Grace is standing 60m due west of point P. What is the shortest distance between Willy and Grace?

Q: 8. Determine whether the lines L,and L2 are parallel, skew or intersecting. If they intersect find…

A: Given data: The expression for the first line is L1: x=3+2t, y=4-t, z=1+3t. The expression for the…

Q: As shown in the diagram, S represents a water station located on a straight coast on land, and E is…

A: The underwater length of pipe is:  PE=x2+30002

Q: In addition to being able to show that the lines are parallel using their only a writing tool,…

A: parallel line never intersect each other

Q: 2 The slope for a package conveyor for a business has to be 3 . If the vertical distance from the…

A: According to question,Slope = 23,vertical distance = 8 feet

Q: Consider lines L, and L,. L4: x = 1 + t, y = t, z = 8 + t, t ER, L2: x – 9 = y – 1 = z - 9 (a)…

A: We have to find whether the lines are parallel or not if they are parallel then find the shortest…

Q: For the line 2x + 3y = 6, find a line parallel to it containingthe point 11, - 12. Also find a line…

A:

Q: Lines ℓ and m are intersected by transversal t and ℓ ∥ m. If m∠3 = 126°, what is m∠5?

A: The pairs of angles on one side of the transversal but inside the two lines are called Consecutive…

Q: 2. Find the equation of the line that is perpendicular to 6x – 4y = 8, which passes through the…

A: Use equation of perpendicular line

Q: (B) The map distance between two benchmarks, A and B, is 20 cm and their elevations above sea level…

A: We have to find the map distance from A (in cm).

Q: Find the inclination of lines with the given slopes. 1. m=3/4 2. m=2/3 3. m=4/5

A:

Q: Given the quadrilateral ABCD with vertices A( -4, 5), fl(4, - 1), C(7, 3),and D(-l, 9). a. Use…

A: Given: We have given the points of the quadrilateral ABCD  A = (-4, 5)  ,  B =  (4,-1) ,  C = (7, 3)…

Q: Which of the following is the correct definition for perpendicular lines? O Lines that intersect and…

A:

Q: If M(4, 3) is the midpoint of the line segment AB, and if A has coordinates (1, -1), find the…

A: M4, 3 is the midpoint of the line segment AB and the coordinates of A are 1, -1.

Q: 9. The slope of AB is -- 4 Segment CD has endpoints at C(2, – 5) and D(11, 7). Are AB and CD…

A: We have to check whether AB and CD are parallel, perpendicular or neither?.

Q: 1. Which of the following is the proper interpretation of the slope? a) For cvcry onc dollar…

A: The slope of a regression line indicates the rate of change in the response variable per unit change…

Q: Q.5 Find the length of the line segment connecting points A and B located at (-2,5)(1,1)…

A:

Q: Show that the two lines メ=I+4と X = 2+8t and 9= 5-4t Z: -1+ SE 3= 4- 36 2: 5+t skew Rind the distance…

A:

Q: 5. A wheelchair ramp is being built for entrance to a portable classroom. If the ramp has a slope of…

A: Consider the following diagram:

Q: 10. Given two points P1(0,2,-1) and P2(2,0,-1), find the perpendicular distance from the point P3(3,…

A:

Q: 1. A boat sails east from Harbour A for 500km and stops at Harbour B. The boat then sets sail from…

A: To find the straight line length from Harbour A to to C first we have to plot the motion of the boat…

Q: If m>0 and the points (m,3) and (1,m) lie on a line with slope m, then find m?

A: SLOPE OF A LINE PASSING THROUGH TWO POINTS   X1,Y1           AND   X2, Y2    IS…

Q: If slope of the line passes through the points K  (picture)  and the midpoint between them is (3,-1)…

A:

Q: 1. Given the line y =-÷x – 9, what would be the slope of a line that is perpendicular to it?

A:

Q: The diagram below shows the construction of a line through point T perpendicular to line l. This…

A: We will find out the solution in the following step.

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: Find the shortest distance between the point Q(2, 0, 0) and the line segment joining the points…

A: Formula used: Distance between the point and a line is, D=PQ×uu Where u=P2-P1

Q: 25. Determine if the segments AB and BC are parallel, perpendicular o neither. (Find the slopes.)*…

A: If two lines have same slope, then they are said to be parallel. These lines are perpendicular if…

Q: Consider lines L, and L,. L4: x = 1 + t, y = t, z = 3 + t, te R, L2: x – 4 = y - 1 = z - 4 (a)…

A:

Q: 1. Locate the point on the line segment between A(3,–5) and B(13,–15) given that the point is 4/5 of…

A:

Q: 1 Consider the line y=-x+1. What is the slope of a line parallel to this line? What is the slope of…

A:

Q: Suppose there is a straight line from 21 = 0 to 22 = 2 + 4i You know that the equation of a straight…

A:

Q: Find the slope intercept form of the line satisfying the given conditions. parallel to 4x+16y=23.…

A: The line parallel to the given line 4x+16y=23 should have the same slope as the given line.

Q: If the slope of the line connecting the origin and a point P is 3/4 and the ordinate of P is 6, what…

A:

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

A:

Q: An o?shore oil well is located in the ocean at a point W, which is 5km from the closest shore-point…

A: Let the distance between A and P be x km and so distance between P and B be 8-x km By Pythagoras…

Q: Given the point A(1,3) and the line 5y+ x = -10, determine the shortest distance between the point…

A:

Q: 1. Determine the values of x and y so that lines m and k will be parallel. x= Sy +2 y3= Зх - 20°…

A: Here the angles of measure 3x-20°,5x+8° are the angles on a straight line and thus they add up to…

Q: 2. Find the distance between the parallel lines: L: 2x- 5 y + 3 = 0 ; (Hint: It suffices to compute…

A: Consider the given equations of the lines, L1: 2x-5y+3=0 and L2: 2x-5y+7=0 The formula of the…

Q: On a coordinate plane, which theorem can be used to prove that a quadrilateral is a parallelogram if…

A: Given that: Slopes of the sides of the quadrilateral are given.

Q: In this exercise we use the Distance Formula and the Midpoint Formula. If M(4, 1) is the midpoint of…

A: Given, Midpoint M(4,1) Coordinate of A (-1,-1). Given the line segment AB which has a midpoint M.…

Q: B. Compute the slopes of the line segments determined by the given pairs of points. In each case,…

A:

Q: Given coordinates R( -5 , 3 ), S( 4 , 5 ), T( 5,3 ), U(-4 , -1). What type of quadrilateral is RSTU?…

A:

Q: If a slide, a tetherball, and a swing are all 20 feet apart in a park, where could a water fountain…

A:

Q: In a certain geometry, define the distance d(P₁, P₂) between two points P(x, y,) and P(x, y₂) as…

A: We will use the basic knowledge of metric spaces to answer this question completely and correctly.

Q: A small house was built on an island off a perfectly straight shoreline. The point B on the…

A: The given figure is: To find the formula for the cost of laying the pipe in terms of x.

Q: Which is a plan to show that line m and line n are perpendicular? O A. Find the lengths of m and n,…

A: We have to find which is a plan to show that line m and line n are perpendicular.

Q: In the graph to the right, are lines L, and L2 perpendicular? Explain. 10- Choose the correct…

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Q: Determine if the two lines with the given slope are parallel, perpendicular, or neither. Circle your…

A:

Q: Consider the following line segment between (x1.y1) = (40, 67) and (x2y2) = (78, 164). The slope of…

A: The given points are x1,y1=40,67 and x2,y2=78,164.  For the line segment that is 15 of the segment…

Q: The slope of Line A is and the slope of Line B is Therefore the slope of Line A is the slope of Line…

A: