R (3, 1) 9-8-7-6-5A-3-2-1 3 4 5 6 78 C-2 T |(-7, –4). S(-3,-7)- Vhat are the coordinates of point C? (-2,-}) (-5,-3)

Q: 23) 4у" - 8y'+5у%3D0, y(0) = 0, y'(0) = 1.

A:

Q: 3) --9+7z use x = -14 and z = 9 4) -승+ + 3k use x = -4 and k = -7 5) 4(-3n - 2h) use n = -4 and h =…

A:

Q: Let L7 be the line passing through the points Q=(-5, 4, 4) and Q2=(-6, 2, 2). Find a value so the…

A: We will solve the problem

Q: (5,6) parallel 2x-5y=-7

A: Given,

Q: 47. If S(2,y)=(2x-3yy', then f,= _ a) -15(2x-3y)" b) –10(2x-3y) c) 15(2x-3y) d) 10(2x-3y)

A:

Q: What are the coordinates of latera recta of 9x2 – 4y² – 36x – 8y- 4 = 0? | (2-V15,-플), (2-V13,글),(2…

A: Given

Q: 6. Find the equation of the plane that passes through (3,1,2) and (-1,2,–1) and is parallel to the…

A:

Q: 12+ -10--8-6--4-2 +46810 -4- school library -6- -8- -10- Drag and drop your answer. If coordinate…

A:

Q: 10 -6 -5 -4 -3 -2 -i 0 23 456 -1- -2 -3 of equations: y =x 3.

A: From the given data: The system of the equations are: y=x y+1=2x

Q: Line l passes through the points (- 4,- 7) and (2, 3) on the coordinate plane. Line m passes through…

A:

Q: 8) Determine an equation of a line that passes through the point P (5,-2,3) and is parallel to the…

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Q: 8. If the mz1 = 8y- 24 and the mz3 is the value of y? 120, then what %3D 3

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Q: Q/ What is the cross product of a = (-2, 3, 5) and b = (-4, 1, -6)? a, = -2, a, = 3 and a, = 5 b, =…

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Q: -i The point z=- 3 lies 5 z -5+ = 4° %3D | 3 inside z-5+- 4° %3D |--s+|=: inside z-5+- 2 outside…

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Q: 12) L10 -10 -5 5 10 10 12 10 L10 Y10 -5 -5 10 10 Label any intercepts. (If an answer does not exist,…

A: Find x, y and z intercept.

Q: Find the center of 8x 2 + 6y 2 - 32x + 24y + 8 = 0. (2, 2) (-2, 2) (2, -2)

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Q: 5. Find symmetric equations of the line that passes through A(4, -7, -2) and B(-3, 8, 6).

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Q: If x= (5,-1,2), y=(1,-1,1) then x dot y is

A:

Q: 2. Where is the other endpoint located if the midpoint is at (0, -5) and one of the endpoints is…

A:

Q: Find the coordinates of the point 7. of the way from A to B. 10 本y 10 8- B(t0,7) 6- 2- -> -6-4-2 -2…

A: Given P is a point 710 of the way from A to B .This implies that point P divides the line AB in…

Q: Find symmetric equations of the line passing through point P(2, 5, 4) that is perpendicular to the…

A: The symmetric equations of line are given by (x-xo)a = (y-yo)b = (z-zo)cwhere (x0, y0, z0) is a…

Q: 7. Find the centroid of a triangle whose vertices are (2, 3), (-4, 6) and (2, -6). В. (0, -1) A. (0,…

A:

Q: Identify the new coordinates of (-4, 1) after a reflection across the y-axis. y 10- 8- 6- 4+ ((6, 1)…

A: Given  Coordinate (-4,1)

Q: 15 Give the properties for the equation 3y 2 - 2y + x + 1 = 0. Center (-1, 1/3) (-2/3, 1/3)…

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Q: 4. Which pair of coordinates has a midpoint of (8, 3)? (-8, 4) and (8, -2) O (-5, -8) and (-11, 2) O…

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Q: A) S(x)=- у-аxis 4. 3. X-axis .6 -5 4 3 -2 -1 4. -2 -3 -n of unis O fx)= *-2x-3 x-2 у-аxis 64 х-аxis…

A: Given the two functions: 1. f(x)=x-2x2-12.f(x)=x2-2x-3x-2 We need to sketch the graph and find the…

Q: 2. Find the equation of the plane through the points (1, -3,2), (3,0,– 1), and (0,5,5).

A:

Q: 32. (3, 5) reflected through the y-axis is a. (-3, 5) b. (3, 5) с. (3, —5) d. (-3,-5)

A: The point of reflection is the reflected point that we get in the coordinate plane when any axis act…

Q: The contrasts (-3, 1 1 1) and (0, 0 , -1, 1) are orthogonal? Is it True or False?

A: Orthogonal contrasts: A set of contrasts in which, for any distinct pair, the sum of the…

Q: Find the distance from the point (-6,2,-7) to the plane -x + 4y = 2z = 22.

A:

Q: 30. (-2, 2) reflected through the origin is a. (2, 2) b. (2, -2) с. (-2, 2) d. (-2, -2)

A: Rule:- A point  (x,y) after reflection through origin becomes ( -x , -y )

Q: 6. Determine the horizontal and vertical axis Intercepts:r = 51 - 140cos 0. 51 -1 0, cos CoS 51 H:…

A:

Q: What are the coordinates of (-4, 1) after a reflection over the y-axis? 10- 8- 6+ (-6, 1)(-4, 1)2+ 4…

A: Given,  The coordinates of point -4, 1  We have to write the coordinates of point -4, 1 after a…

Q: 29. (-2, 2) reflected through the y-axis is a. (-2, 2) b. (2, 2) с. (-2, -2) d. (2, -2)

A: Rule:-  A point ( x,y ) After reflection through y axis becomes ( -x , y)

Q: 2. Find the equation of the plane through the points (1,–3,2), (3,0,–1), and (0,5,5).

A: The solution is given as follows

Q: 10 5- |-10 -5 -5- Find the distance between points B and T. Type in your answer below. -LO

A: Use the distance formula of distance between the line joining two points P(x1,y1) and Q(x2,y2),…

Q: 18.) Which is not a point on the equation -2x - 3y + 5z = 7? a. (1,2,3) b. (-2,-3,5) c. (-2,4,3)…

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Q: 2. Suppose that A, B, and C are three approximations for - a² – y²) dA for D = [0, 2] × [0, 2] and…

A: Given that A, B and C are three approximations for  ∬D4-x2-y2dA                   (i) For D=0,2×0,2…

Q: 10 -5 -2 -5 4-3 -2 -1 0 1. 5 6 -4 -5 -8 -9 -10 -11 -12 -13 8. 5. 3. 2. 7. y-axis

A:

Q: 5) An equation of the of the plane passing through the points P(0,2,1), Q(2,1,2), and R(3,3,1).

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Q: What are the coordinates of latera recta of 4x2 – 9y2 – 16x – 18y-29=0? 10 10 A -1+V5),(-늘, -1-V5),…

A: Given : Equation of curve 4x2 - 9y2 -16x -18y -29 = 0   To find : Coordinates of latera recta for…

Q: Find all yy such that the distance between the points (3, -8) and (-10, yy) is 19

A:

Q: 8 6- 4 2/ -axis 10 8 6 -4 2 6. 8 10 -2- 14 -6 10 O y+8 =(z +2) Oy+8 =(+2) Oy-8-(-2) Oy-8=(-2)

A:

Q: 6. The midpoint between the points A(-2,-3,1) and B(6,9, –3) is (b) (2,3, –1). (c) (-4, –6,2). (a)…

A: Midpoint of line joining (x1,y1,z1) and (x2,y2,z2) is  (x1+x22,y1+y22,z1+z22)

Q: 1- -3 -1 2. 4 -1- X-аxis -2 -3- O 2 O 0.5 O -2 -0.5 y-axis 20

A: slope = (y2 - y1)/(x2 -x1)

Q: Let L7 be the line passing through the points Qz=(-1, -3, –3) and Q2=(3, -1, 1). Find a value of k…

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Q: The distance from the point S(-7, 8, -4) to the plane 10x+2y+11z=2. 20 3 8 15 8 225

A: The equation of the plane is  10x+2y+11z = 2 The point is S-7,8,-4 To evaluate : The distance from…

Q: a) Find the distance between m = [-2,3, 2,0,3, – 13, –5] and n [4, –1,1, -5,0, 11, -3].

A:

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.