-10- If the required is a point, use (x, y) form.

Q: Explain how you can find the coordiantes of a point 1/8 of the way from point A to point B.

A:

Q: 15. Find the point on the line y 3x that is closest to the point (50,0).

A:

Q: Suppose XY has coordinates X( -2, 5) and Y(3, -9). What are the coordinates for the midpoint of XY?

A: To find the Midpoint of the line.

Q: エf ; え indepenelan Cordinaken Cou of a point, Show that,

A:

Q: 15. Reflect the point (2, -4) over the y- axis. a) (-4, 2) O b) (-2, 4) O c) (-2, -4) O d) (2, 4)

A:

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

A:

Q: Sketch the translation of the triangle with the rule (x, y) → (x+5, y+1). T 5 -10 -5 5 10 --5

A:

Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

A: Cone Equation: z2=x2+y2 Given point: 3,-3,0 To find: the points on the cone nearest to the given…

Q: Rotate the point -190° to within 10°. y (о, 1) (-1, 0) (1, 0) (о, -1)

A:

Q: What is the image of (8, –7) after a reflection over the line y = -x? |

A:

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: Find the point(s) on x = 3 - y that are closest to point A = (1,0).

A: Given: Curve x=3-y2 and a point A(1,0).

Q: Rotate the point -320° to within 10°. (о, 1) x (1, 0) (-1, 0) (о, -1)

A:

Q: Rule: (x, y) → ( Reflection: Across Line y = -X YA

A: If you like the solution then please give it a thumbs up... The Answer is:     The rule for a…

Q: , and mz = X+ 20 A (3x) 20 -2 =180 x+20)° What is the value of x? What is the image of the point…

A:

Q: Sketch parallelogram-INDY with diagonals intersecting at point P in the box below on the left. If IP…

A: Given,           A parallelogram INDY with diagonals intersevting at point P.           IP=3x,…

Q: 12) What has all its point equidistance from a fixed point?

A: Solution.

Q: Find the distance between u = 0 - 4 and z = 3 - 3 - 1 8

A: The distance between two vectors u=a1a2a3 and v=b1b2b3 is: d=b1-a22+b2-a22+b3-a32 The distance…

Q: XIV. Give equation of straight line through point (1,3,-2) perpendicular to z = Зх-2y +4.

A: Given z=3x−2y+4 and point is x0,y0,z0=1,3,−2 We have to find the equation of straight line through…

Q: Sketch the translation of the triangle with the rule (x, y) → (x+5, y+1). T 5- -10 -5 10 -5- 5

A: The coordinates of vertices of the blue triangle (1st quadrant) are A1, 1, B3, 1 and C3, 5. Now, Use…

Q: 1)calculate xy dady Where D is a triangle with vertices (0,0), (5,0) and (5,5) tip:Don't use the…

A:

Q: What is the dual of the phrase “three collinear points and a fourth point not on the line of the…

A: Answer :  Dual of any phrase can be find by replacing the conjunction connective with disjunction…

Q: Suppose that point C lies in plane X and point D lies in plane X. What can you conclude regarding…

A: What can you conclude regarding CD↔.

Q: Eliminate the parameter to obtain an equation in x and y: x=-2cos2t, y=-2sin2t

A: x=-2cos2t y=-2sin2t using trigonometric property,               sin2t+cos2t=1

Q: roblem 4.1 Find the point on the line y = 2x + 3 that is closest to the origin.

A:

Q: What is the image of (8, –7) after a reflection over the line y = -x?

A: When we reflect a point from from the line y= -x  There is a sign change in both coordinate occurs.

Q: 5. How do we obtaln a reflection over the x-axis?

A:

Q: If ∆MNP is reflected across the line y = 2, then translated using the rule (x + y) → (x – 8, y – 1),…

A: We have been given the coordinates of the point P(7, 4) using the rule  (x + y) → (x – 8, y – 1).

Q: 5. The point P(0.31 ,±y)is

A:

Q: shows the image of (D2 • Ry-axis)(4, -3)?

A: D2∘Ry-axis4,-3 this means 4,-3will be reflected over the y-axis. And then it will be dilated by 2.…

Q: * Let LIEX-54+10=D0 L2=4X+y-1-O be two lines. 1 Show that the lines L and Lz are not parallel.

A:

Q: What is the image of the point (-5, 2) under the translation T34?

A:

Q: What is the image of (0, -8) after a reflection over the line y = x?

A: The reflection of the point (x,y) over the line y=x is the point (y,x).

Q: 9. Reflect the point (3, 2) over the following axes or lines. Reflection Over New Coordinates x -…

A: Definition used -                    Reflection of a point over the x-axis -…

Q: What is the image of (-1, -4) after a reflection over the line y = -x?

A: Topic = Coordinate geometry   when a point is reflected across the line y = -x, the x-coordinates…

Q: Rule: (x, y) → ( Reflection: Across Line y = x

A: Actually the rule of reflection along y=x is simply writing the points (x,y) as (y,x). See for the…

Q: Find the distance between u = -4 and z= -1 2 9.

A:

Q: Findauihtvectorhermat to thesuFace X Y +X2=1 et the Point (-1,1,1)

A:

Q: What is the y-coordinate of all points in the xz-plane?

A: Plane: The y-coordinate of all points in the xz plane , i.e. we need to put y=0.

Q: 1 What is the image of the point (-4, -2) after the reflection over the line y = - x- 1?

A: follow next step

Q: show that points (2) ) are ( 3 ) 2 (52) A on-Coplaner ( ره ) -

A:

Q: Show that f(-ydx + xdy) where C is the line segment joining (x, y) and (x₂, y2).

A:

Q: If point A is reflected over the y-axis and its original location was (2,3), where is its new…

A:

Q: Transform the triangle with the rule (x,y)→(x+2,y-4)

A: From figure, it is clear that the points of the triangles are as given below (1,3),(2,1) and (5,4)

Q: b) Identify all intercepts. (If än änswer đoes hot exist, (x, y) = ( 0,0 (. x-intercept %3D…

A:

Q: Find the point (Xo, Yo) on the line 4x + 6y = 12 that is closest to the origin. (Xo, Yo) =

A:

Q: What is the image of (8, – 7) after a reflection over the line y = -x?

A: See 2nd step

Q: At point (1,y), what is y?

A: Note:- If two points is given in Cartesian form like  (2,5)  Then  x=2 and y=5 Means first one is…