7. Evaluate [4y-xds where C is the upper portion of the circle centered at the origin of radius 3 from C (†›‡) to (-) in the counter clockwise rotation followed by the line segment form (--) to (4,-) which in turn is followed by the line segment from (4,-) to (4,4). See the sketch below for the direction. 2 1 3 -1 -1 -³--

Q: 60. Show that the distance between two points P1(x1, y1) and P2(x2, y2) is invariant under rotation.…

A: For the points P1 and P2 , the distance between the points is given d(P1,P2)=(x2-x1)2+y2-y12 . For a…

Q: what is the image of the point C1-2) ander the rotation about the. point (2,3) at an angle e - 1800…

A: When the image of point A is formed by rotating by 180⁰ about point P. Then the point P is the mid…

Q: ARST Is translated so that point R (-2, 1) Is mapped to point R' (2, -4). Which ordered pair best…

A:

Q: What are the directing cosines of the line whose symmetric is (x + 2)/ - 1= (y-3)/ 2 = (z + 4)/ 6

A:

Q: circle passes through the points (2,1) and (-2,3) and its center is on the line 2x＋y＋4=0. Find its…

A:

Q: 11) (1 point) Draw the line segment AB after a 90° rotation about the origin. CLICK TO SELECT -…

A: Rotation by 90 degree about the origin is given by (x,y) tends to (-y,x).

Q: a = (-2,4), b = (-1,2), what's the projection of a on b?

A: We know that the formula projection of A on B is  (A.B)/|B|

Q: 4 TA 2 -6 -4 -2 2/ 4 6. -2 -4

A: We can find the coordinate of the image of B as below.

Q: What is the center (in rectangular coordinates) of the circler= -3 sin 0 ? (0, - ) 3 0, O (0, v3)…

A: The given circle, r=-3 sin θ

Q: Depine P = (1,3), Q = (2,4), V = (-1), 3 line I₁ = P + [v] and l₂ = Q + [v] Find : a) d (P. ₂. le)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the distance between the following pair of points: ( 2, 10 ) and (-4, 2). 8. O 6 О 10 O 14

A:

Q: If triangle ABC is reflected across the y=1, what will be the coordinates of B'? (2, 5) |(-4,3) (2,…

A: We have to reflect the point B(2,3) across the line y= 1 .

Q: d.) (1, 쁘), (-1, 플) 857

A:

Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

A:

Q: 3. Point A is located at (2, 1). The point is reflected over the line y =-x to obtain image point…

A:

Q: The point G (-6, 4) is translated 2 units left. G'? What are the coordinates of the resulting point…

A: Given point G is (-6, 4)

Q: If B (-2, 6) is rotated 270°, what are the coordinates of B'? O B'(2, 6) O B'(-6, -2) O B'(-6, 2) O…

A: In first quadrant x, y both are positive In second quadrant x is negative y is positive In third…

Q: 3. P'(-5.-3) is the image of P after a transla along the rule (x,y) → (x+2, y-1). What the…

A: P'=(-5,-3)translation rule is (x,y)→(x+2,y-1)let point P is (x,y)

Q: 16. If the point (3, 7) is rotated counterclockwise by 45°, what point is obtained? What point is…

A:

Q: 15. If P(-6, 2) is a point, what are the coordinates of P' the point rotated about the origin 180…

A: