19. Find all points on the y-axis that are 6 units from the point (2, 5). SLO 9

Q: 2. The midpoint of the line segment between Pi (x, y) and point P2 (-2, 4) is Pm (2, -1). Find the…

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Q: . Calculate the area of the triangle formed by the line 3x-7y+4 =0 , and the (ans.: 8/21) axes.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: 2. Evaluate S. 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Solution

Q: 4. Find the distance between the two points S(-5,-2) and T(-3,4).

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Q: 2. Suppose A, B,C, D e E³ are distinct points occurring in that order ong a straight line. a) Show…

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Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: 15. Determine the coordinate of point C, which lies on the y-axis, if it is equidistant from point A…

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Q: When is the line ax+ by = c parallel to the y-axis? To the x-axis?

A: ax+by+c=0        When a=0, then the line equation becomes               bx+c=0…

Q: 5. Find the bisectors of the angles between the lines, 2x-y 1 and 11x +2y= 5.

A: Given, lines, 2x-y=1,  11x+2y=5 now find angle bisectors between lines we know the formula of…

Q: 2. Sketch the set of points determined by the condition (a) Re(7 - i) = 2; (b) |27 + i| = 4.

A: Use the value of z to simplify the given equations. Now solve them to their simplest form and then…

Q: Find the point (xo, yo) on the line 4x + 9y = 12 that is closest to theong1n.

A: Given: 4x+9y=12 Let the distance between the point (x0, y0) and origin be D As it is given that the…

Q: 2. Evaluate . 3x – 6y ds for C is the line segment from (6,0) to (6,6).

A: Let C be a piecewise smooth curve defined by, Let P and Q be two continuous functions of x and y…

Q: Evaluate ∫C x ds, where C is the straight-line segment x = t, y = t/2, from (0, 0) to (4, 2).

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Q: 28. Given the points A(3, 2) and B(7, -6) what is the point halfway between A and the midpoint of…

A: To solve the following problem

Q: lem 17. What multiple of a = (1,1,1) is closest to the point b= (2,4,4)? Find also the poin st to a…

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Q: 14. Write an equation of the line that is perpendicular to 3x – 4y = 9 and cont- (-4,-5).

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Q: 9. Find a point on the y-axis which is equidistant from the point A (6,5) and B (-4,3).

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Q: , and mz = X+ 20 A (3x) 20 -2 =180 x+20)° What is the value of x? What is the image of the point…

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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: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

A: Given, ∆A'B'C' is formed after a reflection across a line through point P followed by a translation…

Q: Consider line segment PQ on the coordinate plane. Exit Ticket-4/30/21 Ifa student translates line…

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Q: 8. If J is the midpoint of segment HK what is the value of HK? * H 9x-2 4x+13 K

A: Since J is the midpoint of JK HJ=JK 9X-2=4x+13 5x=15 x=3

Q: 26.) Question is attached

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Q: find the coordinate of point x such that the ratio of fx to xd is 5:3

A: find the coordinate of point x such that the ratio of fx to xd is 5:3

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

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Q: 1. Find the point on the line y = x nearest to the point (4, 1).

A: Since, we have been asked to solve part(i) which aims to findthe point on the line y=x nearest to…

Q: b. For the points C (x – 3,5 – Z)and D (4 – x, -8), find the midpoint if Z is the last digit in your…

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Q: Show that -ydx+xdy) = x₁y₂-₂₁ where C is the line segment joining (x,y) and (x₂,₂).

A: We have to prove ∫C-ydx+xdy=x1y2-x2y1 Where C is the line segment joining x1,y1 and x2,y2 Now…

Q: What is the distance between points D(-10, 2) and E(6, 10)? O 20 O 10v2 O 8v5 O 16 O Option 1

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Q: Suppose L, is the line through the origin in the direction of u and L2 is the line through the point…

A: We are given two lines L1 and L2 in 3d, and we have to find the closest points x1 , x2 such that the…

Q: 5. The point P(0.31 ,±y)is

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Q: 2- The distance d from the point R=(1,4,-3) to the line L: x=2+t,y%3-1-t Z- 3t is 4.43 False True

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Q: 5. Find the point of intersection of the following lines x = 4t +2, y = 3, z = -t +2 b. x = 2s +6, y…

A: Given query is to find the point of intersection of line a and line b.

Q: Find the point(s) on x = 3 – y? that are closest to point A=(1,0).

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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: 2- The line perpendicular to the triangular (PQR) and through the point (P) if P(1,-1,2), Q(0,3,1),…

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Q: If the point (4, 1) is the midpoint of the line PD , where P (x, 3),  D (7, y)   ,  find the value…

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Q: B is the midpoint of line segment AC. Find x C 5X-6 3X +4 Ox = -5 O x 2 Ox = 5 Ox = 10

A: A line segment is a finite section of a straight line. A mid-point of a line segment is a point…

Q: 2 14 - For what value of K is the line 2x+ky = 3 Perpen odicular to the line 4x+y=12 For what the…

A: We will find to the value of k when  the line ,2x+ky = 3 perpendicular to the line 4x+y=1 . And olso…

Q: If M(6,8) is the midpoint of the line segment AB and if A has coordinates (2,3), fınd the…

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Q: The midpoint of SR is (5,-11). One endpoint is S (3, 5). What is the y-coordinate of point R?

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Q: 16. If the lines y = 3x + 1 and 2y = x + 3 are equally inclined to the line y = mx + 4. Find the…

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Q: 2. Find the area of the triangle formed by the lines Sz + y – 14 = 0, z + 7y + 38 = 0, and 9z – 5y +…

A: First we find vertex of triangle by using given lines.

Q: 4) Which of the following pairs of points define a line segment parallel to the x-axis? O(4,3)(-4,3)…

A: We have to identify the line segment parallel to x axis.

Q: (14) Evaulate dA where R is the set of all points in the first quadrant with x + y <1.

A: Evaluate the integral ∬ex+ydA where R is the set of all points in the first quadrant with x+y≤1…