Consider the point at (2,4). Suppose you rotated the point 30 degrees counterclockwise about the origin. In other words, you put a pushpin at the origin and rotate the graph 30 degrees but keep the axes fixed. What would be the new coordinates of the point?

Q: Kelly is plotting points on a graph to make a rectangle. So far she has done (1,1) (1,5) and (3,1).…

A: Lets try to plot the graph first, then we will solve the problem.

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: The line whose equation is x-6y = 3 is rotated 120° about the origin. Find the equation of the image…

A: Here's the solutionExplanation: Solution:To find the equation of the image of the line x - 6y = 3…

Q: A neighborhood planner uses a coordinate plane to design a new neighborhood. The coordinates A(1,…

A: Given  A(1,-1), B(1,-2), C(2,-1)are the initial coordinates of the House A, B, C. A'(3, -4) are the…

Q: A cable car is to be built up the side of a hill. The coordinates of the bottom end of the are…

A: Let coordinates of the point  on the cable where tower will be placed is P(x,y,z)-

Q: I got a different answer. You had happened to make the y and z coordinates negative when defining…

A: Yes, it was mistakenly written the y and z coordinates as negative but at the time of substitution…

Q: Graph the image of a rectangle KLMN after a rotation 90 degrees counterclockwise around the origin.…

A:

Q: The line joining two points A(2, 0) and B(3, 1) is rotated about A in anticlockwise direction…

A: The slope m of the line AB is given by        m1-03-2=1So,AB makes an angle of 45° with the…

Q: Let f(x, y) 2²-2 y.(y+4)

A:

Q: What is the image of point G(18, 71) after a half-turn centered at Y(20, 21)?  Give a reason for…

A:

Q: What is the ordered pair of the point that is located four units to the left of the origin and three…

A: Answer is  (4, 3)

Q: a. At what point should the origin be shifted if the coordinates of a point (4, 5) become (-3, 9)?…

A: Since you have posted multiple questions, we will provide the solution only to the first question as…

Q: Write the equation of the straight line through (2, −3) with slope 3/4, in the parametric form r =…

A: Line passing through the point 2, -3 with slope 34.

Q: Consider point W on the coordinate plane y 51 w/ 1.

A: Here if we are going through x-axis. Then it will give points 3 and -4. Because x-axis value will…

Q: A chicken coop has been built 30 yards south of a farmhouse and is enclosed by a circular fence.…

A: We have to find the equation of the circular fence.