Given a level surface x2 - y2 + z2 = c. %3D a) Identify the level surface that contains the point (3,1,-4). Hint: Rewrite the equation in its standard equation. b) Sketch the level surface and label all intercepts.

Q: Find the points where the liner(t) = 4 − 3t, 8 + 7t, 5 + t, −∞ < t < ∞,intersects each of the…

A: The point where the line intersects co-ordinate planes, one of the co-ordinates must be zero.

Q: Find the point on the line x /a + y/ b = 1 that is closest to the origin.

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Q: (a) Identify and graph the quadric surface -r - y + 2? = 1.

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Q: XZWY is a rhombus with diagonals XW and ZY intersecting at point M. Given YMX = 3p + 6, solve for…

A: diagonals of rhombus makes right angle at ntersection point

Q: Find the point at which the line intersects the given plane.

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Q: Which point is one fourth of the way between point A and point B on the line segment AB shown on the…

A: Here we will find the point which is one forth of the way between point A and point B,

Q: Write a paragraph explaining how the distance formula giving the distance between two points (x1,…

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Q: Given a surface M whose equation is 4 22 = 1. Identify what type of quadric 16 surface is M, find…

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Q: Graph the Image of rhombus TUVW after a reflection across the line y = x. (v.x)

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Q: identify the following quadric surface x^2/6 + y^2/6 + z^2/16 =1

A: This question is related to Quadric surfaces, we will solve it using given information.

Q: Construct the perpendicular bisector of each. Must show all construction marks. 1) 2) 3) 4) 5)

A: To construct the perpendicular bisector to the line, Steps to find perpendicular bisector; Step 1:…

Q: On the line of intersection of the planes y+2z=12 and x+y=6, find the point (a,b,c) that is closest…

A: Given planes, y+2z=12andx+y=6 Consider the point of intersection be x,y,z.

Q: 4 Show that the equation of the sphere circumscribing the tetrahedron whose faces are y+z=0, z+x3=0,…

A: Find the four vertices of the tetrahedron.  Making four equation.  Then write it in matrix form.…

Q: Use the Midpoint Formula three times to find the three points that divide the line segment joining…

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Q: type of quadric surface is renresented by t n us Oupumb bn to udurR

A: The given quadratic equation is x2=4y2+9z2 .......................... (1)

Q: (3) Consider the quadric surface SC R, having equation a2 + y? – 22 = 9. Find all lines through P =…

A: The quadratic equation is given by x2+y2-z2=9.  General equation of line is: x,y,z=a,b,c+tl,m,n…

Q: Match the surfaces (a)-(e) with the contour diagrams (1)-(V, (M)

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Q: Find the value of x and y in the rhombus. y° 3x 2x

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Q: Based on the trapezoid shown in the standard (x, y) coordinate plane above, what is the slope of the…

A: Here ABCD is a trapezoid and AB parallel BC which also parallel to the X axis

Q: What are the coordinates of the vertices of AA'B'C' after a reflection across a line through point P…

A: Given, ∆A'B'C' is formed after a reflection across a line through point P followed by a translation…

Q: The ___________ is the point on a two-dimensionalplane from which the drops originated

A: The ___________ is the point on a two-dimensional plane from which the drops originated.

Q: Prove that if A is a point on the perpendicular bisector of line segment BC then A is the same…

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Q: The midpoint of AB is M(1, -4). If the coordinates of AA are (−3,−6), what are the coordinates of…

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Q: If the four straight lines ax + by +p=0, ax + by +q = 0, cx + dy +r=0 (p-a)(r-s and cx + dy + s = 0…

A: The given equation of lines of parallelogram are  ax + by + p = 0,   ax + by + q =0 m1 = -a/b c1 = -…

Q: Find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0 intersects…

A: Here we have to find the point where the common point of the circles x2+y2=25 and x2 +y2-12x-6y+35=0…

Q: Find the coordinates of the midpoint of the segment that joins the points a) (a, 0) and (0, b). b)…

A: Givena a, 0 and 0, bb 2a, 0 and 0, 2bMidpoint =x1 +x22 , y1+y22

Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

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Q: A plane intersects the prism shown parallel to the base. Which best describes the cross section?

A: I have provided solution in step2.

Q: The midpoint of AB is M(6, 1). If the coordinates of A are (4, 8), what are the coordinates of B?

A: As we know that the midpoint formula: Mid point x,y=x1+x22,y1+y22 Given: Mx,y=6,1Ax1,y1=4,8

Q: If the four straight lines ax + by + p= 0, ax+ by +q= 0, cx+ dy +r=0 |(p-g)(r-s)| and cx + dy + s =…

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Q: Graph the image of rhombus EFGH after a reflection across the line x = 2. G. 10 8 9. H. 4 10 -4 -2…

A: When a point is reflected across the x = a line, the y-coordinates remain the same. But the…

Q: In ARST, SV bisects y ZRST. Find the coordinates of point T in terms of a. S (a, a) 2a T?, ?) V (2,…

A: Given that, Let ∠TSV=θ and ∠VSR=θ(∵SV is angle bisector)

Q: The midpoint of AB is M (1, 6). If the coordinates of A are (8, 4), what are the coordinates of B?

A: To find B coordinate.

Q: Which point is three fourths of the way between point A and point B on the line segment AB shown on…

A: follow next step

Q: The length of the line segment joining the two points of intersection is 3 – x = y = 7+1 With the…

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Q: Show that the plane whose intercepts with the coordinates axis are x = a, y =b, z c has equation :…

A: Consider an equation of plane as It is given that the intercepts of plane are x=a,y=b and z=c. So,…

Q: What are coordinates of AABC with A(-4,3), B(3,1), and C(2,-5) after a reflection over the line y=x?

A: The coordinates of triangle ∆ABC are A-4, 3, B3, 1 and C2, -5To find the reflection over the line…

Q: Given 3 non-collinear points, A, B, and C, describe how to find a point, O, that is equidistant from…

A: As Point O is equidistance from A,B,C.   A circle can be drawn with center O , that will pass from…

Q: Find the equation of the line of intersection of the planes: x+y+z=1, 2x+y-z=2

A: Given the two planes :   P: x+y+z=1   Q: 2x+y-z=2

Q: Which point is one fourth of the way between point A and point Bon the line segment AB shown on the…

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Q: Give the Cartesian equation of the locus of points P(x, y) given that P is 5 units from the point…

A: Any point on the Cartesian plane is represented as x, y. The locus is a set of points on the…

Q: Graph the first-octant portion of each plane.y + z = 5

A: y+z=5 We need to graph the first octant portion

Q: Find Sax ds, where C is the line segment in the plane joining (0,0) and (3, 4).

A: I am attaching image so that you understand each and every step.

Q: The midpoint of AB is M(6, 1). If the coordinates of AA are (4, 8), what are the coordinates of BB?

A: M has coordinates (6,1) Coordinates of A =(4,8)

Q: 15) Consider the following equations of quadric surfaces: a) x = + - 4 b) x? - y? + z? = 4 i)…

A: We need to find surface type and intercepts.

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: 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: Which point is two fifths of the way between point A and point B on the line segment AB shown on the…

A: Given query is to find the point at distance 2/5 from A.