Q3: Find the shortest line from a point to a plane, justify your answer by calculations. Hint: you can choose any coordinates of the points and equation of the plane.

Q: Find the shortest distance r1 between the two lines given by r₁ (t) = (3 + t, 3t, 5 – 4t) and r₂ (t)…

A:

Q: The coordinates of p are (-3, 8) and the coordinates of Q are (9, -2). Find the equation of the…

A:

Q: synchronized

A:

Q: Determine the vertex, opening and the length of the latus rectum in the given equation below. 1. y?+…

A:

Q: Q3: a\ A triangle whose vertices are A = (-1,0), B = (2, 1), and C = (1, -2), find:

A: Solution

Q: 5. What is the length of the minor axis given by the equation T2) (y–1)? = 1? 4 16 2 units 4 units 8…

A: We have to choose the correct answer from the given option

Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer…

A:

Q: How do you determine when two planes intersect? How do you find the line of intersection when they…

A: How do you determine when two planes intersect?     Intersecting planes:  Intersecting planes are…

Q: Find the equations for the three lines through  (-4,23/2) normal to the parabola y=x^2/9

A:

Q: %3D How far is the point (-2,-3) to the line with the equation, 5x 12y? 46 /13 O2/13 O 2 01/2

A: We will find the distance.

Q: Use the diagram below to answer the following question: (10x-8)® (5x+8)° Assuming line the image…

A: Note: As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: a. Find the Cartesian equation of the plan that contains the line r = (2, 3, 2) +t (1, 1, 4), t ER…

A:

Q: Three of the coordinates of a square ABCD are A(3,2) C(1,-2) and D(0,1). What is the y-coordinate of…

A: That's easy. Have a good day!!!

Q: What points in the xy-plane satisfy the equation and inequality? Draw a figure for exercise. (x2 -…

A: Given: (x2-y2-1)(x2+y2-25)(x2+4y2-4)=0⇒(x2-y2-1)=0, (x2+y2-25)=0, and (x2+4y2-4)=0Clearly,…

Q: Find the distance between the points (distance formula) 5.(2a+c, 2d), (2b-c, 2c) 1.(3, 2), (4, -3)

A:

Q: Help Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.…

A:

Q: Which point(s) lie on the graph of the equation 2x 3y = = 12? а) (3, — 2) b) (9, 2) c) (5, – 1)

A:

Q: 30) Use slopes to determine if the opposite sides of the quadrilateral parallel. are A(0, 2), B(3,…

A:

Q: Find the intercepts on the axes, test for symmetry, plot an adequate number of points, and draw the…

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: In the Cartesian plane below, rectangle MNQR is shown. y (cm) N(12,29) M P >x (cm) R • An ant starts…

A:

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

A:

Q: Q4-Find the Cartesian equation of the line that passes through the point (-3, 2,-1) and is parallel…

A:

Q: Sam wants to meet his friend Beth at a restaraunt b

A: Given, Sam wants to meet his friend Beth at a restaurant before they go to the theatre. The…

Q: Where should the point P be chosen on the line segment AB so as to maximize the angle θ?

A:

Q: The axis of symmetry is the vertical line at the vertex. True O False

A:

Q: Find all points on the y-axis that are 6 units from the point (4, - 3).

A: Consider the point A(4, - 3) which is 6 units from the point B(0,y).

Q: Find the values of x and y for which the figure must be a parallelogram. 8. 5x - 4 2y 2x + 14 -

A:

Q: Find a best straight line y = cx+d that best fits three points (1, 1), (–-1,2), (-2, 1). %3D

A: We have the equation of given straight line as y=cx+d            ⋯⋯1 If the points 1,1,-1,2 and -2,1…

Q: Find any intercepts and test for symmetry with respect to both axes and the origin. (If an answer…

A: We have to find any intercepts and test for symmetry with respect to both axes and the origin. (If…

Q: (r, 0) -4, – 3+ a (r < 0)

A:

Q: You are training your dog to catch a frisbee. You are playing in a large field, and you are standing…

A:

Q: 20. For what value of b are the graphs of the pair of equations perpendicular? 3x+7y 7,y=* %3D

A:

Q: If x² – 3r + 5, find (a) r- and y-intercepts. (b) f(1) (c) f(a) (d) the maximum or minimum, using…

A: The function is x2-3x+5 we can write it as =(x2-3x)+5=x2-3x+322+5-94=x-322 +114

Q: is the perpendicular bisector of MP - L 15 15 X = M 11 4x +3

A:

Q: Given the point A(1,3) and the line 5y+ x = -10, determine the shortest distance between the point…

A:

Q: Determine the coordinates of the point on the line = (1,-1,2) + s(1, 3, –1) that pro- duces the…

A: To determine the shortest distance and the coordinates of the point on the below line that is…

Q: Imagine a parabolic PDE represented by this diagram. Which of these lines represent initial…

A:

Q: (a) Find the involutes of straight line.

A:

Q: Find the length of the curve y= 2²-√√x, 4 ≤ x ≤9. 23/2 3

A: To find the length of the given curve.

Q: The parking spaces in a city lot were created by painting If mz2 = 115°, what is mz1? rows of…

A:

Q: 20. For what value of b are the graphs of the pair of equations perpendicular? 3x+ 7y = 7, y =

A:

Q: Which point(s) lie on the graph of the equation 2r - 3y = 12? а) (3,- 2) b) (9, 2)

A:

Q: Solve the system of equations for the intersections of the two curves S 4y? – 152? = 16 - %3D 2x…

A:

Q: [c] Use the formula you found in part [b] to find the shortest distance from the point (2, 3, -1) to…

A:

Q: メht_X=(

A:

Q: (2х + 16)° (3х - 2)°

A: x = 18   explanation is given in below step

Q: DETERMINE THE SHORTEST DISTAtNCE FROM THE POINT -1,2) 5x-12y=10, TO THE EQUATION %3D

A:

Q: The axis of symmetry is the horizontal line at the vertex. O True O False

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.