Given XZ with X(-4, 3) and Z(6, -2), find the coordinates of Y if Y divides XZ one-fifth of the way from X to Z.

Q: Find a relationship between x and y such that (x, y) is equidistant the same distance from the two…

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Q: Find the point on the line y=x that is closest to the point (3, -1)    The point is (___ , ____)

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Q: Find the endpoints points of the lactus rectum for (y-3)^2=8(x+1)

A: Given problem:- Find the endpoints points of the lactus rectum for (y-3)2 =8(x+1)

Q: Find the line L, that passes through the point P(1,2) and parallel to the line L2: x+2y=3.

A: Given data is: The equation of the line L2: x+2y=3 To find the equation of the line L1 that passes…

Q: Find the shortest distance between the lines i-(i+2j+k) + 2(i-j+â)and 7= 2i - j-k + 4(2i + j+ 2k)

A: The equation of the given lines are r→=i^+2j^+k^+λi^-j^+k^r→=2i^-j^-k^+μ2i^+j^+2k^ It is known that…

Q: Given (x,4) and (-3,y), find x and y such that the midpoint between these two points is (6,4).

A: To find the x and y such that mid point of (x,4) and (-3,y) is (6,4)

Q: Find an equation for the collection of points for which the distance to (3, 0) is twice the distance…

A: Calculation of required Parameters.

Q: Find the equation of the line parallel to 8x +4y = 1 passing through the point (0, 1). %3D

A: Given equation is 8x+4y=1 We have to find the equation of line parallel to 8x+4y=1 passing through…

Q: The X- coordinate of a point P is twice it's y-coordiante ,If P is equidistance from Q(2,-5)…

A: To find the coordinate of P

Q: For what value of k will the line kx + 5y = 2k be perpendicular to the line 2x - 3y = 1?

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Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x = 2s + 2, y = s + 3,…

A: Answer

Q: 2x y 3y-20 of Given two parallel lines cut by a transversal, solvefor x and y. %3|

A: The figure is given by To evaluate : The values of x and y

Q: The temperature of a rectangular plate bounded by the lines x = ±1, y = ±1, is given by T = 2x2 −…

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Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

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Q: Find the point on the line 3x – 4y –1 = 0 which are at a distance of 5 units from the point (3,2)

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Q: Q)Suppose that one line is parallel y=13x+ 13 and passes through (15,7). Where does that line cross…

A: Given :  y=13x+ 13  compare with y = mx + c slope m = 13

Q: The points P(k, 2k), Q(p, t) and R(12p, 5t) are on a straight line. If Q divides PR in the ratio of…

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Q: 2. Find the line L passes through the point (-2,2) and perpendicular to the line L: 2x+y= 4.

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Q: Find the point of intersection of the lines x = t, y = -t + 2, z = t + 1, and x 2s + 2, y = s + 3, z…

A: we have to find the point of intersection of the given lines

Q: Find the equ. nf line through the Pont (-2,3,4) and Parallel to Planes: 2X+3y +42=5 3X + 4Y+52=6…

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Q: Find the points on the line 3x – 4y – 1 = 0 which are at a distance of 5 units from the point (3,…

A: Solving the problem by finding the points.

Q: find the distance from the point (−5, 1) to the line 3x − 4y + 1 = 0.

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Q: Find the equation of the line of intersection of r +y+z = 0 and 2x – 3y + z = 0. Note: (0,0,0) is a…

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Q: Find the value of  x for which the distance between the point P(2, -3) and Q (x, 5) is 10

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Q: Solve for x and y if PARM is a parallelogram. P 3x + y A 4x 2+y

A: Note:We are authorized to answer one question at a time, since you have not mentioned which question…

Q: Find the real number ( B) such that the line of symmetric equations ( x – 3 == ) is parallel to the…

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Q: AHGF is equilateral. a If ZF solve for x and find mzG. H. (x + 32)° and ZH = (2x + 4)°, %3D %3D b If…

A: We use the result , Perimeter of equilateral triangle is = 3 times side of triangle

Q: How many circles touch the x-axis and the y-axis and pass through the point (2,1)? Select one: a.…

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Q: roblem 4.1 Find the point on the line y = 2x + 3 that is closest to the origin.

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Q: x2- 2x + 4y = 19, the line x = 1, and the x-axis. %3D

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Q: Find the point on the line 6x+ 5y + 5 = 0 which is closest to the point (0, 2).

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Q: Find the equation of the set of points which are equidistant from (3,10) and the x-axis `y-x -5)²+3…

A: To find the correct option

Q: 2. Find the line L passes through the point (-2,2) a L:2x+y=4.

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Q: The distance from a point P₁(x1, y₁) to the line ax + by + c = 0 is lax₁ + by₁ + cl √² + b² Use this…

A: SOLUTION-

Q: Let A(x,y) be the point on the line y = x + 1 that is closest to the point B(2,0). Then the square…

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Q: the

A: We will find the point.

Q: on the line ye -2x +8 that 1-) Find the point IS Close't to the onigin.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Find the coordinates of all points (x, y) that lie on the line whose equation is 2x + y = 8, so that…

A: Given: The coordinates of all points x,y that lie on the line whose equation is 2x+y=8, so that the…

Q: Find the point on the line x + 2y = 5 that is closest to the origin.

A: Let the point (x, y) on the given line x+2y=5  is closest to the origin (0, 0). observe that…

Q: Find the foot of the perpendicular drawn from (4,1) upon the straight line 3x – 4y + 12 = 0 -

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Q: For the rectangle windows whose L(-3,-2) and R(2,3), Find the intersection point for X(-1,1) to…

A: Given rectangle windows has: Lower left hand corner at Upper right hand corner at To find: The…

Q: Q2) A- Find the distance between the line (y = x + 3 ) and center of circle (x²+y²–2x=0).

A: Topic : Coordinate Geometry  Answer  question no 2 :- sqrt(8) As per our guidelines,  at a time only…

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n,…

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Q: Find x² z ds, where C is the line segment from (0,5,-1) to (-3,5,2). Check Answer

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Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 1,…

A: Given circumference of the circle  10π we know that circumference of the circle with radius r will…

Q: find an equation of the line l that passes through the point (-2,9) and satisfies the condition l…

A: Here we find the equation of the line l that passes throughthe point -2,9 and satisfies the…

Q: 4) Find the two points of the form (x,-4) that have the same distance of 10 units from the point…

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Q: Find the relationship between x and y such that the point (x.y is equidistant from the point (7,1)…

A: If a point say P is equidistant form two points say A and B then  PA =PB To see complete solution…