Calculate the distance between the points M=(-9,8) and L=(-1, 1) in the coordinate plane. Give an exact answer (not a decimal approximation).

Q: Calculate the distance between the points J (-7,0) and L= (-2,-4) in the coordinate plane. Give an…

A: Given,            Two points J(-7,0) and L(-2,-4) in coordinate plane we need to calculate distance…

Q: The coordinate axes divide the xy-plane into four sectionscalled________?

A: The coordinate plane looks as below:

Q: find the distance from the point to the line. (0, 0, 12); x = 4t, y = -2t, z = 2t

A:

Q: What is the angle between the curves y = x2 and y = x4 at their point of intersection?

A: We have find the angle between the curves y = x2 and y = x4 at their point of intersection we have,…

Q: mine an equatio

A: Here we have to find the equation of rectifying plane to We have,

Q: Find a formula for the distance from the point P(x, y, z) to the yz-plane.

A:

Q: Find the distance from the point (3,4,1) to the line x=0, y= 4+2t, z= 1+t

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Q: Find the equation of the tangent plane to the surface 4 =1 at the point 9. 16 (1,-3,2)

A:

Q: Find the distance between the two Y(2, 0), P(2, 6)

A: to find distance between two points  Y2,0 and P2,6

Q: Find the equation of the tangent plane to the surface - 8x3 + 7y³ + 3xy at the point (2,0, 64).

A:

Q: distance

A:

Q: The tangent of the acute angle between the lines y = 4x – 3 and y =x-5 is 4. IA 2 D

A: Two lines are given as : y = 4x - 3 and y = x - 5

Q: Find the distance from the point (1, 2, 0) to the line æ = 3t, y= 1, z= 2 – t.

A:

Q: Find the distance from the point to the given line. (0, 1, 2); x= 2t, y = 5 – 3t, z = 2 + t %3D

A:

Q: Use Eq. (8) to find the distance from Q = (1, 1, 1) to the plane2x + y + 5z = 2.

A: Find the distance from Q=(1, 1, 1) to the plane 2x+y+5z=2 or 2x+y+5z-2=0.…

Q: Find the distance from the point (0, 0, 0) to the line x = 5 + 3t, y = 5 + 4t, z = -3 – 5t.

A: Find the distance.

Q: Find distance from the point (0, 1, 3) to the line = 2t, y = 6–2t, z = 3+t

A: (0,1,3)    L=x=2t, y=6-2t, z=3+t

Q: Find the distance from the point (1,1,5) to the line x=1+t, y= 3-t, z=2t O 2.236 O 0.36 O 36

A:

Q: Calculate the distance between the points F = (1, -1) and Q= (7,-8) in the coordinate plane. Give an…

A: Given are two points F(1,-1) and Q(7,-8) FQ=1-72+-1--82=>FQ=-62+72=>FQ=85

Q: Find formulas for the distances between (0, 0) and (a, a2 ), a > 0, along the line between these…

A: Derivative of a function is determined as the change of variable with respect to change in another…

Q: Find the distance between the point (−3, 5, 1) and the line given by x = 1 + t, y = 5 − 2t, and z =…

A:

Q: te of points. 4. (-5, 2) and (-5/ 6)

A: As per bartleby guidelines, we need to answer the 1st question: So,

Q: ) Find the distance from the point (4, 1, 2) to the line x = 0, y = 1+ 5t, z = 2+ t.

A:

Q: Find the distance from the point S= (1, 2, 1) to the line x = 2-t, y=-1+2t, and z=2+ 2t.

A:

Q: Find the distance from the point S(0,0,12) to the line L: x = 4t , y=-2t z = 2t

A: Write the vector of the given line using x=4t, y=-2t, and z=2t. L→=xi→+yj→+zk→   =4ti→+-2tj→+2tk→…

Q: Find the acute angles between the intersecting lines x = 2 + t, y = 4t + 2, z = 1 + t and x = 3t -…

A: Given: The equation of lines x = 2 + t,  y = 4t + 2,    z = 1 + t      and x = 3t - 2,   y = -2,   z…

Q: Find the distance from the point (4, 1, 2) to the line x = 0, y = 1+ 5t, Z = 2 + t.

A:

Q: Find a parametrization for the line segment beginning at P, (-5, - 2,3) and ending at P2 0, 5/4

A: We have to use parameterization of the line.

Q: Find the distance from the point P(-1,2,4) to the line given by x=2t y=1+t z=3t

A: Given query is to find the the distance between point and the line

Q: Find the value(s) of x such that the distance between the points is 5. (2, -1), (x, 2)

A: Distance between the points 2,1, x,2 is 5. use distance formula:    Distance between the points…

Q: Find the distance between the points (−2, 2), (4, −6) using (a) the Distance Formula and (b)…

A:

Q: Find the distance between the two straight lines and x=1+1, y=2, z= −1+2+ x=2-t, y=3t4t, z=2t at the…

A:

Q: Draw a diagram showing two perpendicular lines that intersecton the -axis and are both tangent to…

A: The given parabola equation , y=x2. To draw two perpendicular lines that intersect on the axis and…

Q: Find the distance from the point (2, 1, 3) to the line x = 2 + 2t, y = 1 + 6t, z = 3

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Q: Find an equation of the tangent plane to the surface at the given point. fx, у) %3 х2 - 2ху + у2,…

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Q: Find the distance from the point (4, 3, 0) to the y-axis

A: We have to find the distance from the point 4, 3, 0 to the y-axis. We know that distance from the…

Q: Find the point on the line y = 4x + 3 that is closest to the origin. (х, у) %3D

A:

Q: Find the acute angle (in degrees) between the planes 5x + y + 4z = O and a y + 2z = – 3.

A:

Q: Find the distance between the plances 3x + y – 4z = 2 and 3x + y – 4z = 24

A: Given the two planes 3x+y-4z=2,3x+y-4z=24. The distance between two planes Ax+By+Cz=d1,Ax+By+Cz=d2…

Q: find the distance from the point to the line (2, 2, 0); x = -t, y = t, z = -1 + t

A: Given information: The point to the line is (2, 2, 0) and x = -t, y = t, z = -1 + t. Calculation:…

Q: Find the equation of the tangent plane to the surface 4 = 1 16 at the point 9. (1,-3,2)

A:

Q: find the distance from the point to the line. (-1, 4, 3); x = 10 + 4t, y = -3, z = 4t

A: Given  Point = P (-1, 4, 3) Equation of line : L1 :  x = 10 + 4t, y = -3, z = 4t Rewrite the…

Q: Find a formula for the distance from the point P(x, y, z) to the xz-plane

A: The distance between two points x1,y1z1 and x2,y2z2: d=x2-x12+y2-y12+z2-z12 The distance from the…

Q: In the standard (x,y) plane, what is the distance between (3, 4) and (6, 2)?

A:

Q: Find the distance between the plances 3x + y - 4z = 2 and 3x + y – 4z = 24

A:

Q: Find the distance between the point (-1, 3, 5) and the line given by x = 3 + t, y = 1- 2t, and z =…

A:

Q: Find an equation of the plane tangent and an equation of the line normal to the surface 7z = 4x² -…

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: State the formula for the distance between (x1, y1) and (x2, y2).

A: Determine the formula for the distance between x1, y1 & x2, y2

Q: Find the coordinates of the points that are 15 units away from the origin and have a y-coordinate…

A: Given y- coordinate = -12

Q: Find the distance from the point (2, 2, 3) to the line x = 0, y = 2+ 5t, z = 3+ 3t.

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.