4- Find the line that passes through the point l2) the Point of intersection of the lines x+2y=3 and 2x-3y=-1. - A circle in the 2nd touches the y-axis at (0,3)- 2- At what point does it meetsthe x-axis? b)- Find the Cordinates of the centerof the cirele- -For what value of K is the Line 2x+ ky = 3 perpendicula to the line x+y=1? and for what values of K are the lines Parallel ? gud quadrant is tangeeut to both axes. %3D

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: Find the equation of the circle Busan bent X=y^2-y at point (0,1)

A: Given problem is : Find the equation of the circle Busan bent X=y^2-y at point (0,1) .

Q: 22. Find the distance from the point (5, 2, -1) to the line х — 1 - 2 1 3

A: Given equation of line is, x-12=y1=z3 The point is Q(5,2,-1).

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: 4. The midpoint of the line segment with endpoints (x1, yı) and (x2, y2) is given by the formula

A: we know, the midpoint of the line segment with end points (x1,y1) and (x2,y2) is given by the…

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: Line m is a line that passes through point m and is parallel to line l.  What is the equation of…

A: Given, if m is a line that passes through point M and is parallel to line l.we have to find the…

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: 7. Three teammates from a local soccer club are practicing passing in triangular pattern as shown in…

A: It is given that three players AB and C are playing in such a manner to form right angle triangle…

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

A: Explanation: Here a slide. a tetherball, and a swing are all 20 feet apart in a park. Locus of the…

Q: 2. Prove that the line joining the midpoint of a median to a vertex of the triangle trisects the…

A:

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

A:

Q: Suppose that receiving stations X, Y. and Z are located on a coordinate plane at the points (5,10).…

A:

Q: Consider the two points (4, –3) and (5, 7). The distance between them is: The x co-ordinate of the…

A:

Q: (a) What is the equation of the line that is tangent to the circle of radius 8 at (0, – 8) and whose…

A:

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

A:

Q: Two straight lines 3x – 2 y + 5 = 0 and 6x – 4y + 10 = 0 intersect at the origin. are coincident.…

A:

Q: I need a paragraph proof for proving that a circle and a line cannot intersect in three or more…

A:

Q: The distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t is:

A: Find the distance between point (1,1,5) and the line x=1+t,y=3-t ,z=2t.

Q: 3- The line jaining the origin and Point_of intersection of the linesr(X=l+2t_ ys-3+4Ł,2=t) aul (x-…

A: Given that: Lines are: L1: (x=1+2t, y=-3+4t, z=t) and L2: (x=-2+3t, y=-5+3t, z=-12+34t)

Q: 6- Find the distance from the Point AC,2,1) to the line joining the too Points B Co,5,2), C(3,2,7)

A: fghk

Q: 1. Find the distance between the points P = ( - 1, 3) andQ = (4, - 2). Find the midpoint of the line…

A: Given :  P = ( - 1, 3) and Q = (4, - 2) we have to find the distance between the points also find…

Q: 3. Line ZW is parallel to line XY and line CD intersects both lines. 154° -Y X 3 4. Based on the…

A: Given To Evaluate m∠1 and m∠2?

Q: 4 Construct line AB whose equation is given: y =-,+5 %3D Graph the y-intercept first; then graph a…

A: Giveny=-43x+5

Q: What is the egualion of Hhe line over the intereval (5, ] ? What would the exact value of the…

A: Given Points (-5,-3), (-2,4) through which the required line passes.

Q: chain line PQ intersects a pond as seen in Figure. Two points A and B are taken on the chain line on…

A: In △ADC, let ∠ADC=θ    AD=300m,  AC=250m    DC=DB+BC         =150+100=250m  Now,…

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

A:

Q: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

A: Find the shortest distance between the point Q (2, 0, 0) and the line determined by the points P1(0,…

Q: 5. What are the (x, y) coordinates of the point where the terminal side of 0 circle? (ə) (-;-)

A: For unit circle, r = 1 x = r*cos(Q) y = r*sin(Q) Q = 4π/3

Q: 12- Show that the lines L1 and L2 are parallel and also find the distance between them. L1: x=2-t,…

A: Solution: Consider the given lines in parametric form; L1:Consider x = 2 - t = x0+ aty = 2t = y0 +…

Q: The 3 lines x = 3, y – 2.5 = --(x – 0.5), and y – 2.5 = x – 3.5 intersect at point P. Find the…

A:

Q: 4. Find the line(s) containing the point (–1,4) and lying at a distance of 5 from the point (6,3).

A: (Note: We are entitled to solve only one question at a time) To Find: The lines containing the point…

Q: Construct perpendicular lines from point P to line m. 1. VE

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Show that the point is on the unit circle. (2-) We need to show that the point satisfies the…

A: Equation of unit circle is x²+y² = 1

Q: 2 Draw and label line QR (QR). Draw point S on it. What are two other names for line QR?

A:

Q: Theorem 1-1 states that two lines intersect in exactly onepoint. The diagram suggests what would…

A: Given Theorem 1-1 states that two lines intersect in exactly one point.

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

A:

Q: 2. Show that the line segment with endpoints (7, 2), (- 3, 6) and the line segment with endpoints…

A: Any point on the Cartesian coordinate system is represented as x, y . The midpoint of a line that…

Q: 7 ) Find the equation of line L through the point 5,,5 intersecting at right angle the 2 line M with…

A:

Q: 4-)Find the equation of the line that Pusses through ACber!) and in tersects the line X - . 2 at…

A:

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: Consider the two points (4,2) and (10,4). The distance between them is:   The x co-ordinate of the…

A:

Q: what is the geometric plàce of points multiplication two given whose of their distance to the lines…

A: Let the line be L1 and L2 having points (x1 ,y1 ) and (x2 ,y2 ) and locus of the geometric place of…

Q: Show that the locus of the point whose distance from Y-axis is thrice it's distance from (1,2,-1) is…

A:

Q: Suppose that L is a line through the points (a, 2, c) and (3, –4, 2) that is parallel to one of the…

A: Given that: L is a line passing through (a,2,c) and (3, -4, 2) and parallel to one of the axes.

Q: Find the length of the tangent to a circle from point of tangency to point (8,2) . The circle is…

A:

Q: A circle in the xy-plane has a diameter with endpoints (-1, 3) and (7,3). If the point (0,b) lies on…

A: Topic = circle

Q: Show that the point is on the unit circle. (승·) We need to show that the point satisfies the…

A:

Q: 9. If a projectivity from a point to itself fixes two lines through the point, then the projectivity…

A: True Statement.

Q: 2- Find. the pe-intercept. @through-points(-2,-3)-and-(4,8). having Shpe zandymintercept--Í©through…

A: As this is a multiple sub-parts question, according to the Bartleby Answering guideline, only first…