Q: find the angle between the 3x lines y 4 З and 5x - 2у %3D 10. -
A: The two lines are as follows y=3x4-3 and 5x-2y=102y=5x-10y=52x-10 comparing with y=mx+c where m is…
Q: Find the distance between the points (i) P(-6,7) and Q(-1,-5) (ii)R(a+b,a-b) and S(a-b,a-b)
A: Use distance formula
Q: Find a point equidistant from the points (3,2) and 5,-1)
A: Let the coordinates of the required point be x and y.
Q: What is the distance between the points A: (-2, -4) and B: (-4, -2)?
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Q: Find the angle between the line represented by 2x2+xy-6y2+7y-2=0
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Q: Find the distance between the points A = (2, 0, (2, 0, 1) and B = (4, 5,-2)-
A: Given that two points A =2, 0, -1 and B = 4, 5, -2 If two points were given, then…
Q: Find the distance between the points p1and P2. P1 =(3, -4); P2 =(5, 4)
A: We have two points of the form P1x1,y1=3,-4 , P2x2,y2=5,4. Distance between two points is…
Q: find the nature of triangle formed by the lines x2- 3y2 =0 and X=2
A: Nature of triangle is isoscelene
Q: Find x²z ds, where C is the line segment from (0,-5,4) to (2,-7,8)
A: C is line segment from (0,-5,4) to (2,-7,8). parametric equations of C are: r(t)⇀=(1-t)r0⇀+tr1⇀ ,…
Q: In the coordinate plane, right triangle AXYZ is reflected over the line y = x. 5 3 X 2- -6 -5 -4 -3…
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Q: Q1. Find the distance between the points A (-1, 3, 7) and B (2, -1, 6).
A:
Q: Find the angle between the straight lines 3x+5y=7 2x-y+4=0
A: We have to find the slopes of the equation first.
Q: Find the point of intersection of the lines: y = 4x + 1 and y = -2x +4 %3D o (2,9) 으(4,2) ㅇ (4,3) O…
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Q: 11. X(3, 2), Y(3, -12) 12. A(-4, -2), В(4, - 1)
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Q: Find the coordinates of the other point whose one end is (1,0) and its midpoint is (0,1)? O (1,-2) O…
A: Let's find.
Q: The distance from (-2,-5,-6) to the yz-plane is (A) -2 (B) 2 (C) (D) -5 (E) 6
A: Use distance between two points
Q: Find the point of intersection of the pair of lines if it exists. (If an answer does not exist,…
A: Solve the both equation
Q: 2. y 0, z 0, 6. x+1
A:
Q: The midpoint of AB is at (- 4, - 2). If A = (0, 10), find B. B is:(
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Q: Find the distance from the point to the line. (−4,4,−1); x=-3+3t, y=-1+t, z=1+2t The distance…
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Q: Find the value of a that makes lines u and v parallel. 130° x+ 135 y O 5
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Q: B) Find Duf of f(x,y.z) x + y? + 2? - 3 at point(1,1,1)in the direction of point (3,5,-3).
A: Take gradient at given point and take dot product with unit vector for directional derivative
Q: The distance between the points A= (-4,-2) and B= (4,4) is O V217 units O V41 units O v65 units O…
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Q: eflect the triangle over the line with the rule (x,y)→(y,x) -8- 4- -8 -4 4 --4-
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Q: Determine Duf(-1,3, 2) for f (x, y, z) = e2ay° + 4x²yz in the direction (3, -2, 5). V =
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Q: How would i determine whether the three points are collinear? (0,-7), (-3,-21), (2,3)
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Q: Find the distance between each pair of points: а) (-3, —7) and (2, 5) b) (0, 0) and (-2, 6) с) (-а,…
A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: Find the angle between the straight-lines 3x – 2y + 9 = 0 and 2x + y – 9 = 0 ?
A:
Q: Find the distance between each pair of points: c) (-5, 2) and (7, – 3) d) (x – 3, y + 2) and (x, y –…
A: The given points are 6,4 and 6,-3.
Q: Find the smallest angle between the lines 2x+y-8=0 and x+3y+4=0
A: We have to find angle between lines.
Q: Find the distance and midpoint between points P(6, -3) and Q (-2, -5)
A: Given points are P(6,-3) ,Q(-2,-5)From middle point formula ,middle point between(x1,y1) and (x2y2)…
Q: Find the angle between the straight line represented by 2x2+5xy+2y2-5x-7y+3=0
A:
Q: How do you compute |PQ| from the coordinates of the points P and Q?
A: Suppose the coordinates of P and Q are given as, a,b and c,d. Then to compute PQ⇀, PQ⇀=c-a2+d-b2…
Q: Find the distance between the points (-4, 0) and (-10, 8). O5/2 O 10 O 2 3
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Q: Find a point on x-axis which is equidistance from A (2,-5) and B(- 2,9).
A: Topic:- geometry
Q: What is the midpoint between the points A: (-3, -4) and B: (6, 1)?
A:
Q: Palocated at (8,-7), and Qslocated at (-4,-3) on the coordinate plane What coordinate represents the…
A: Mid point (x ,y) of (x 1 , y 1) and (x 2 , y 2) is given by x = (x 1 + x 2)/2 and y = (y 1 + y 2)/2
Q: Find the distance from the point (3, 1,0) to the line given by symmetric equations *** =-3, y= 1.
A: Given that: The point is: (3, -1, 0) and equation of line is: x+42=z-3, y=1
Q: Find b so that the points (4,-6), (5,-8), and (b,-2) lie on the line
A: Please find the solution in the attached images :
Q: Find the foot of the perpendicular drawn from (4,1) upon the straight line 3x – 4y + 12 = 0 -
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Q: Find | x?z ds, where C is the line segment from (0,-2,-3) to (5,-1,0)
A: Given problem:-
Q: Find the distance between the points P1 = (4, - 7) and P2 = ( - 1, 5).
A:
Q: Find the angle between the lines represented by 2x2+xy-6y2+7y-2=0
A:
Q: Find x² z ds, where C is the line segment from (0,5,-1) to (-3,5,2). Check Answer
A:
Q: Find the distance between each pair of points: c) (-5, 2) and (7, -3) d) (x - 3, y + 2) and (x, y -…
A: The given points 6,4 and 6,-3 formula used: distance between the pointsx1, y1, x2, y2:…
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- What is the distance between the two points (-15,-20)(−15,−20) and (-10,5)(−10,5)Find the point on the line 4x + y =5 That is closest to the point (-4,1)Suppose you go up a hill whose shape is given by the equationz = 1000 - 0.005x2 - 0.01y2, where x, y and z are measured in meters and you are at a point with coordinates (60,40,966). The positive x axis points east and the positive y axis points north. a) If you walk south, will you begin to ascend or descend? For what reason?b) If you walk northeast, will you begin to climb or descend? At what rate?c) In which direction is the slope greater? What is the rate of ascent in that direction?d) At what angle above the horizontal does the trajectory begin in that direction? Note: To solve take into account the topics partial derivatives, directional derivative and the gradient. Note: answer only subsection d
- Suppose you go up a hill whose shape is given by the equationz = 1000 - 0.005x2 - 0.01y2, where x, y and z are measured in meters and you are at a point with coordinates (60,40,966). The positive x axis points east and the positive y axis points north. a) If you walk south, will you begin to ascend or descend? For what reason?b) If you walk northeast, will you begin to climb or descend? At what rate?c) In which direction is the slope greater? What is the rate of ascent in that direction?d) At what angle above the horizontal does the trajectory begin in that direction? Note: To solve take into account the topics partial derivatives, directional derivative and the gradient Note2: Answer all the items that are requestedFind distance between a = (3, -1, 0, -3) and b = (4, 0, 1, 2).Find the point of intersection of the pair of straight lines. y = −8x − 9 −y = 9x + 3 (x, y) =