Point P' is the image of P(5, –5) under a translation by 2 units to the left and 5 units up. What are the coordinates of P'?

Q: Find the points on the curve c where the tangent is vertical C: x= t - 48t, y = t + 12t. ОА (-128,…

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Q: Sketch the graph of  y = 2sin(x-pi/2)  please with explanation  i

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Q: The curve ver = V1 + sin20.

A: Solution :-

Q: %3D 1. Write the image points for T-5,3>(ADEF) =ADIE¡FI. D'( E'C

A: In the given figure, D(2,1), E(5,1), F(4,-2). T-5,3(∆DEF)=∆D'E'F' The translation T-5,3 moves all…

Q: Triangle ABC has points at A(2, 0), B(-1, 3), and C(4, 5). After undergoing a transformation, its…

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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: (b) Find the points that touch the x axis of curve v = u? + pu + (n + 1). Where n=666. Also find the…

A: given the curve in u,v axis is as, v=u2+pu+n+1    where n=666

Q: #8. In each case, sketch the set of points determined by the given conditions (a) /2-1+i/>1 (b)…

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Q: Let j = and i = Compute the distance from j to the line through u and the 9. origin.

A: Given that y→=-39 and u→=12. To find the distance from y→ to the line through u→ and the origin, we…

Q: 2. A ray creates an angle of 245 degrees from the 3-o'clcok position. What is the slope of this ray?

A: A ray creates an angle of 245 degrees from the 3-o'clcok position. We have to find  the slope

Q: Use your knowledge of transformations to sketch y =1-e.

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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: How do we prove two circles are similar? What transformations are required to show circles are…

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Q: ZA'B'C' is the image of LABC following the reflec- tion of ZABC across line (. If mZA'B'C'= + 20 and…

A: Given: m∠A'B'C'=x5+20, m∠ABC=x2+5 We know that when we take reflection of a triangle across any line…

Q: The roots of the characteristic equation of y"-7y=0 are: Select one: a. 7,7 b. 17, -17 O C7,-7 d. 0,…

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Q: Consider triangle JKL. If triangle JKL is reflected across the z-axis and then translated 3 units…

A: We have to find the coordinate

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

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

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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: y 2+ 1+ (A) (3,1) (B) (2,1) (C) (2,-1) (D) (1.5,0.5) (E) (1,0) 0 -1 P 2 3 Q(3,2) In the figure…

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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: Draw a line on the graph that will intersect the given line at the point (3,2) ei Jor

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Q: Find the point(s) of intersection of the curves r = 10 and r = 20 cos e. O A. (10,5) 3 OB.…

A: Given: r = 4  r = 20 cos θ

Q: Find all values of x so that the triangle with vertices A-(4, 4, x), B-(7, 6, 0), and C=(5, 5, 2)…

A: Here we have to find values of x for which area of triangle is 1.

Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.