If - 3 and 5 are the coordinates of two points on the realnumber line, the distance between these points is___?

Q: Find the equation of the locus of a point that moves so as to be always equidistant from A(3, 4) and…

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Q: 4. Find the equation of the locus of the points P(x, y) whose distances from the point (3,2) are…

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Q: Determine B such that the line 3x +2y-7= 0 is perpendicular to 2x By +2 = 0. 05 04 O 3 02

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Q: What is the distance from P(2,4) to 2x-3y+1=0?

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Q: 20) Find the distance between these (2) sets of points; (2, -5) & (-3, -10).

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Q: The distance between a and b on the real line is d(a, b)=________. So the distance between -5 and 2…

A: Distance between a and b on the real line is  d(a,b) = b - a

Q: If f(x) = 3x — 7, find the image of 2 and the preimage of 2

A: Given: fx=3x-7 To determine: Image & pre-image of 2.

Q: Question # Compeute the centre Froup for of genepallized linead n=4.

A: 1. Let F be a field. Then the general linear group GLnF is the group of invertible n×n matrices with…

Q: Determine the line of intersection between the following planes 12. 5x+2y-7= 9 and -2x+8y +9= = 3.

A: Given: The planes are 5x+2y-7z=9 and -2x+8y+9z=3 To find the line of intersection of the given…

Q: 5. Compute the distance between these pairs of points: (a) (-2, 5) and (4, 13) (b) (3,-4) and (8, 8)

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Q: Use the side-splitter theorem to solve for x in the triangle below.

A: Given,

Q: The distance from (-3,-4,-7) to the xz-plane is (A) -4 (B) (C) -3 (D) 3 (E) 4.

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Q: Let P = (4, 3, –3) and Q = (7, 8, 8). Find the coordinates of the following. The point on the line…

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Q: Show that the perpendicular let fall from any points on the straight line 7x - 9y + 10 = 0 upon the…

A: See the details solution in below

Q: Does the Nearest Point Theorem in R imply that there is a strictly positive real number nearest…

A: The statement of the Nearest Point Theorem is as follows: "Let A be a non-empty closed convex set in…

Q: The functions f, (x) = 3x2 – 1 and f2(x) = 5x³ – 3x are orthogonal on the interval [-1,1] True/False…

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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: Give a geometric description of the following sets of points. x2 + y2 + z2 - 8x + 14y - 18z ≥ 65

A: Given: x2+y2+z2−8x+14y−18z≥65

Q: Find the distance between u = 0 - 4 and z = 3 - 3 - 1 8

A: The distance between two vectors u=a1a2a3 and v=b1b2b3 is: d=b1-a22+b2-a22+b3-a32 The distance…

Q: Find the distance between the points p1and P2.

A: Given: P1=-1, 1, P2=2, 2

Q: Find the distance from (-5,9, –12) to each of the following: 1. The xy-plane. Answer:

A: Given point :-  (-5,9,-12) To find:- Distance of given point to plane xy

Q: prove that points are collinear 3. P(-15,10), Q(0,-20), R(-10,0)

A: Given ; The points are P(-15,10), Q(0,-20), R(-10,0) .

Q: How far is the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the origin

A: We have to find the distance of the intersection of the lines 4x-5y=26 and 3x+7y+2=0 from the…

Q: In Problem,find the distance from P1 to P2.

A: If two points are (x1,y1,z1) and (x2.y2,z2), then the distance between two points is:…

Q: 3. Find the point (x1, x2) that lies on the line x + 5x2 = 7 and on the line x1 – 2x2 = -2. See the…

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Q: -1 + x 2x-7 R 19

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Q: The distance between a and b on the real line is d(a,b)=____________So the distance between -5 and 2…

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Q: Find all points with integer coordinates located at a distance of 3 from the origin.

A: we have to find all points with integer coordinates at a distance of 3 from the origin. Let P(x,y)…

Q: c. Find all the points X1 x2 in R3 [x3. that are transformed to Explain.

A: Given, the transform spantial coordinates                               x1x2x3into plane coordinate…

Q: Determine B such that the line 3x + 2y - 7 = 0 is perpendicular to 2х - Ву+23D0. | O 5 Оз O 2

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Q: The algebraic translation of "x is no more than 7" is

A: the algebraic translation of "x is no more than 7 " is ?

Q: Find the point on the xx-axis that is equidistant from the points (6,1)(6,1) and (3,7)

A: Let the given points be A(6,1) and B(3,7). Let P(x, 0) be the point on the x-axis which is…

Q: メ 6xーメータ Find the domainand Range and Draw the points onthe coopdinat plane

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Q: Find the equation of the set of all points that are equidistant from the points P = (1,0, -2) andQ =…

A: Given: P=1,0,-2 and  Q=5,2,4

Q: Q2) Find the least -5quaras line y=fca) = Ax +B for the following data 2 2. -1 2. 3.

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Q: find the equation of a locus of a point P such that distance of P from the origin is twice the…

A: Let us consider that, an arbitrary point P is x,y. Vertices of origin and point A are 0,0 and 1,2…

Q: Prove analytically that the midpoint of the hypotenuse of a right triangle is equidistant from the…

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Q: Determine the value(s) of x such that -2 -3 27 2 1]|-3 -3 3 [이 -1 2 18 5 Note: If there is more than…

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Q: 2. Find the images of the mapping 22 of the line y 2. W =

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Q: Find x so that the distance between (−4, 3) and (x, 1) is squareroot of 29. (Enter your answers as a…

A: We know that,The distance between two points (x1,y1) and (x2, y2) is given byD= x2-x12+(y2-y1)2

Q: If - 3 and 5 are the coordinates of two points on the realnumber line, the distance between these…

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Q: What is the X -intercept of the lihe that passes through points 4,-5) &(7,-8) %3D

A: First we will find the slope.

Q: 2. Find the distance between each pair of points and the midpoint of the line segment joining the…

A: Given two points are P(1,0) and Q(4,4). We have to find the distance between given two points.

Q: Find the distance between the following pairs of points. (0,12) ,(5,0)

A: 0, 12  &  5, 0

Q: 2. If f(2) = e*, describe the images under f(2) of horizontal and vertical lines, i.e. what are the…

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Q: show that the lines メ-2 = 3-2 モ-3 and %3D 9-3 X-2 = intersect. %3D 2 th

A: Here we will show that given lines are intersecting,

Q: Find two values of k such that the points (-3, 4), (0, k), and (k, 10) arecollinear.

A: To Find: Two values of k such that the points -3,4, 0,k and k,10 are collinear. Concept: Slope…

Q: If and i are independent co-ordinates of a point, show that = &

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Q: Try to prove the existence and uniqueness of the fixed points..

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Q: Describe the set of all points that satisfy x=9x=9 if the solution set is plotted (a) in RR, the…

A: Given x=9 Aim: To describe the set of all point which satisfy it