M (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. Switch the x- and y-coordinates: (6, –3) 2. Multiply the new x-coordinate by –1: (6(–1), –3) 3. Simplify: (–6, –3) Mary Beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. Examine the steps to determine whether she made an error. The student made .

The answer is below

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation is rotation, reflection, translation and dilation.

If a point  (x, y) is rotated 90° counterclockwise, its new coordinate is (–y, x).

Give point M (3, –6) is rotated 90° counterclockwise:

Step 1: Interchange the x- and y-coordinates to get (-6, 3)

Step 2: Multiply the new x-coordinate by –1 to get (-6(–1), 3)

Step 3: Simplify to get (6, 3)

Therefore she made an error in step 1

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

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step-by-step explanatio89