Q/ Find the angle between the planes (x+y+2=1)and (x-24+32%-1).And find the Symmetric equations for the line of intersection (L)of these two planes.

Q: 5) Find the angle between the lines. y+2 %3D z-5 2x – 3 = y + 9 = 2z + 7 & x +1 = | 2 2.

A: Putting the value of drs of line , we can get angle

Q: L. 4y – 2 - 2 M 2х + 10 |15 +х K 8—у N 'N,

A: Property of Parallelogram: Opposite sides are equal.

Q: Find the values of x and y in parallelogram PQRS. PT =y, TR = 4x + 1, QT = 2y, TS = 3x + 12 P X =…

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Q: Solve for the orthogonal traysctories x*(3k-x) - ky². = x ? 2

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Q: A class is having their picture taken. The photographer positions himself 21 feet from the center of…

A: Let positions of:--Photographs be 'p'-centre of row of students→'c'-last student→'x'xcz is Row…

Q: what is the ends of the latus rectum and axis of symmetry of x2-2x-4y-7=0? show solution

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Q: What are the coordinates of the foci in the equation - 4 *5=1? A F1(1,0); F2(-1,0) B F1(3,0);…

A: The given equation is: x25+y24=1                               (1) Equation (1) is compared with the…

Q: Find the equation of the line through point (2, 1/2, -3) and is perpendicular to the plane -x+4y+3z…

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Q: In the drawing, mZ1 MZRSV = 67° and x – y = 17°, find x and y. = x and m2 = y. If %3D - (HINT: m21 +…

A: In the given figure below, m∠1=x and m∠2=y Also given that m∠RSV=67° and x-y=17°

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

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Q: When will the two players have the same x coordinate? When will the two players have the same y…

A: Note: It is a multipart question. No specific part has been asked.So, We will solve the first three…

Q: Find the distance between the given skew lines: y = 4+ 21, y = 7, z = 8 – 7t x = 9+ 81, x = 8 – t, z…

A: Consider the skew lines x=9+8t,              y=4+2t,                   z=8-7tx=8-t,…

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

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the distance between the skew lines: x = 9+ 6t, y = 5 + 6t, z = 7 – 6t y = 7, x = 7 – t, z = 6…

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Q: The temperature of a rectangular plate bounded by the lines x = ±1, y = ±1, is given by T = 2x2 −…

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Q: Find the coordinates of the image of the point (-22) when it is reflected across the line y-7 O…

A: Given that the line y=7 and the coordinates whose image has to be found is (-2,2) Let A be the…

Q: Find the values of x and y in parallelogram PQRS. PT y, TR 3x+ 1, QT = 3y, TS = 5x + 11 and y =

A: The diagonals of a parallelogram bisect each other.  So, PT=TR or y=3x+1 And QT=TS or 3y=5x+11

Q: find the value of y such that the points are collinear  (5,5) (-1,y) (2,4)

A: if three points are collinear then it means they cannot form a triangle so the area of triangle in…

Q: The area of parallelogram whose adjacent sides are i^-2j^+3k^ and 2i^+j^-4k^ is

A: Given sides arei^-2j^+3k^  &  2i^+j^-4k^

Q: Find the angle between the lines y-V3x-5=0 and 3y-x+6=0. %3D

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Q: Find the points on the coordinate plane 2,3) and Q(2.-2.-1)

A: Given query is to find point P and Q on coordinate plane.

Q: Find the coordinates of all points (x, y) that lie on the line whose equation is 2x + y = 8, so that…

A: If point x,y on the line and it is corner of the rectangle. Then, area of rectangle=xy But we have…

Q: Find the distance between the skew lines: x = 4+ 9t, x = 4 – t, y = 3+ 2t, z = 7 – 4t y = 9, z = 8+…

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Q: Find the points on x=3-y^2 that are closest to the given point (1,0)

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Q: U and R are the midpoints of the legs, PT and QS, of trapezoid PQST. If PQ = -z + 70, RU = -z + 83,…

A: The solution is given below:

Q: 6x Find -dA, where R is the parallelogram enclosed by the lines 4x – 3y 6x – y = 0, 6x – y = 9, – 4x…

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Q: Q1: Find the distance between the given Points: (2v3, 4) & (-V3, 1). (a, b) & (0, 0).

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

Q: Cannot solve

A: We have given u = (4, 5) and v = (5, -2)

Q: Find x and y for the parallelogram. 4y° 4x° 14x X= y3D

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Q: 4 For what values of x and y is PQRS a parallelogram? Зх- 1 У -2 2x + 1 2x + 3 R X= y =

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Q: Find the midpoint of CD. M = ( X1+X2 Yı+y2 C = (10,-1) and D = (-6,3) %3D %3D ([ ? ],[ ])

A: Use the given mid point formula and simplify.

Q: Find the point on the x-axis that is equidistant from the points (1, 2) and (2, 3). The coordinates…

A: soln:point on x-axis which is equidistant from the points 1,2 and 2,3

Q: Find the values of δƒ/δx and δƒ/δy at the point (4, -5) ifƒ(x, y) = x2 + 3xy + y - 1.

A: ddxxn=n xn-1

Q: Find x and y for the parallelogram. бу 6x 42 30 X= %3D

A: To find x and y

Q: Find the coordinates of all points (x, y) that lie on the line whose equation is 2x + y = 8, so that…

A: Given: The coordinates of all points x,y that lie on the line whose equation is 2x+y=8, so that the…

Q: The legs of a right triangle are x and y. Find the equation that will maximize the area of the…

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Q: Y and V are the midpoints of the legs, TX and UW, of trapezoid TUWX. If WX = 4z + 16, VY = 10z + 16,…

A: Trapezoid Midsegment Theorem states that a line segment connecting the midpoints of the legs of the…

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 the angle, in degrees, between the 2 planes with equations X-y+3z=1 and 3x+ y-z=D2

A: Take the normal vectors of the planes x-y+3z-1=0 and 3x+y-z-2=0 as N1⇀ and N2⇀ respectively.…

Q: B. Find the point on the line y = 10 – 2x that is closest to the origin. REFLECTION

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Q: 2. Find the area of the triangle formed by the lines Sz + y – 14 = 0, z + 7y + 38 = 0, and 9z – 5y +…

A: First we find vertex of triangle by using given lines.

Q: Graph the first-octant portion of each plane.x + y = 4

A: Consider the given plane. x+ y=4⇒y=4-x Assume some test points and make a table of values as…

Q: a ferris wheel is elevated 1 meter above the ground. when a car reaches the highest point on the…

A: Given: The ferris wheel is lifted 1 meter above the ground. Highest altitude of the car in the…

Q: Find the value of x and y in the rhombus. yo 3x 2x x= 30 y 3=

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Q: Find the values of x and y in parallelogram PQRS. PT = y, TR = 4x + 1, QT = 2y, TS = 3x + 12 and y =

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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