Given A(5, -8) and B(-6, 2), find the point on seg- ment AB that is three-fourths of the way from A to B.

Q: If AB = -7i + 3j + 8k and A is the point (-2, -3, 6), find B.

A: A vector from one point to another can be obtained by subtracting the initial point from the final…

Q: Consider the points A(3, 5, 1), B(7, -1, 0) and – C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

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

A:

Q: Two parallel lines, I and m, are cut by a transversal, t, as shown below: (17x+14)° (4x-2)° t. What…

A: In the given figure. the angle 17x+14 and 4x-2 are the interior angle on the same side of the…

Q: Given A(9,2) B(-1,Y) C(-5,16) and D(-8,11) find the value of x so  that AB is perpendicular to CD

A: Find the value of y.

Q: For #13-15, find the components of AB and the coordinates of point P. 13. A = (7, -2), B = (2, 8),…

A: 13: According to the given information it is required to find the component of vector AB and the…

Q: Given A(12,2) B(5,-10) C(-4,10) and D(4,y) find the value of x, so that AB is perpendicular to CD

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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: Consider the points A(3, — 5, 1), B(7, — 1, 0) and C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A:

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: The lines y = 2x - 1 and y = ax + 2 are perpendicular ifa = _______.

A:

Q: For what value of k, do the equations 2x – 3y + 10 = 0 and 3x + ky + 15 = 0 represent coincident…

A: Find the value of k.

Q: If A is (1, -5) and B is (9, 11), find the point that is % of the way from A to B.

A: If the line segment XY¯ with coordinates Xx1,y1 and Yx2,y2 divide the segment in the ratio a:b at a…

Q: 3. The lines 2x + y = 6 and 8 – y = mx are parallel. Find the value of m.

A:

Q: Q1: if AB = i + 4j – 2k and B is the point (5,1,3), find point A.

A: Note: -Since you have asked multiple questions, we will solve the first question for you. If you…

Q: If ON = 7x- 5, LM = 6x + 3, NM =x- 4, and OL = 2y + 5, find the values of x and y given that LMNOIS…

A: Here given as  LMNO is a parallelogram  And ON=7x-5, LM=6x+3, NM=x-4, OL=2y+5

Q: The distance from the point (5, 3) to the line 2x +4y + 5 = 0 is O A. 2.457 B. 3.801 C. 4.63 D.…

A:

Q: Find the point symmetric to about the x-axis. 5 л 117 b) O 5 2т c) O 5 57 d) O2' 6 27 3

A: Here, we need to find the point symmetric to 52,π6 about the x-axis.

Q: For what value of k, do the equations 2x – 3y + 10 = 0 and 3x + ky + 15 = 0 represent coincident…

A: Given equations are 2x-3y+10=0 and 3x+ky+15=0. To find value of k for which given lines are…

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…

A:

Q: Plot A(-2, 4), B(3, 4), C(0, 2), and D(0, –2) in a coordinate plane. Then determine whether AB and…

A: The plot for the given points is shown below Consider the distance formula is, d=x2-x12+y2-y12 The…

Q: The distance, R, as indicated in the diagram, that the plane has travelled after 1 hour is, to the…

A: Let's Solve, Answer: Option C

Q: If l1 is parallel to l2 and m1 = - 1/4, then m2 is

A: When two lines l1 and l2 are parallel to each other having slope m1 and m2, then their slopes are…

Q: Where C is a real number, the lines 3x + 2y = C, 2r + y = 5, and x - y = 4 are concurrent. Determine…

A: Given, 3x+2y=C 2x+y=5 x-y=4 are concurrent

Q: Find the point P such that v PQ has the components (-6.75,-6.5,-9.5). Q=(-2.75, 2.5,-3.5)

A:

Q: The diagram above shows a quadrilateral OABC. Straight line OB and AC intersects at point D. Given…

A:

Q: One morning, Connie walks from her house to go to a store that is 500 ft, S 40o W from her house.…

A: This is a problem of distance and angle. Based on the direction plot we will calculate the asked…

Q: Find the distance d(A,B) between points A and B.  A(6,-5) B(-1,-11)

A:

Q: Suppose Tony Romo, quarterback for the Dallas Cowboys, throws a football to his wide receiver. If…

A: Distance between  two points are given by following formula : (x1 , y1 )=(30 , 25 )(x2 , y2 )=( 0 ,…

Q: Q1: if AB = i+ 4j – 2k and B is the point (5,1,3), find point A.

A: AB vector is given. AB = i +4j -2k   Creat vector AB by taking variable point A and given point B…

Q: Plot A(8,-4), B(3, -4), C(7, 1), and D(7, – 3) in a coordinate plane. Then determine whether AB and…

A:

Q: The value of p, so that the lines 17-14 = 3 2p 22 and 2-5 72 3p 1 = intersect at right angle, is…

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Q: (r, 0) -4, – 3+ a (r < 0)

A:

Q: in a trapezoid BC is parallel to AD and EF is median. If AD= 2x+9, EF=6x-13 and BC= 15 find x

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

A:

Q: If rAB = -7i + 3j + 8k and A is the point (-2, -3, 6), find B.

A: Given that AB=-7i+3j+8k   and  A=-2, -3, 6. Consider them as AB=-7i+3j+8k   and  A=-2i-3j+6k.…

Q: Find the coordinates of the point which is 2/5 of the way from (3,2) to ( Select one: O a. (4/5,…

A: Given: Coordinates (3,2) and (-3, 5)  To find: Coordinate points that are 25thof given coordinate

Q: If rAB = i + 4j - 2k and B is the point (5, 1, 3), find A.

A: Let

Q: 2. Show that (a) Σ2Ck + ΑΣ0, = Α(α, + α.) + Σ C, + Aα) %3D k%3D2

A: Consider the given equation. ∑k=2∞ck+A∑k=0∞ak=Aa0+a1+∑k=2∞ck+Aak Express the first left side of the…

Q: 4. Given that a and b are perpendicular. Simplify (a-b) •b b. (a-b)•(2a+b) a.

A:

Q: For numbers 8 and 10, are L1 and L2 parallel?

A: Question 8,Given,            The graph is shown below :

Q: Given the points A(-1, 2, 0), B(1, 0, 3) and C(1, 0, 2), find AB • AC x BC.

A:

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: Determine whether the points p(-1,5), Q(2,-4) and R(4,10) are collinear?

A:

Q: Use the properties of parallelograms to setup up to solve for x and explain why you set the problem…

A: As per our guideline we are allowed to answer only three subparts of the given problem. Kindly…

Q: Find an ordered pair (x, y) that is a solution to the equation. x-6y=6 (x, y) = OD %3D

A:

Q: Given that the line goes through (1,9) and is parallel to the line that goes through (-2,2), and…

A: Given:- The line goes through (1,9) and is parallel to the line that goes through (-2,2), and (4,5).…

Q: Solve for x if AT is an angle bisector B. (8x-7) 41° A

A: Please review my solution

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.