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Give the coordinates of point E (-4,5) after rotating the image 270 degrees.

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Final answer:

To rotate a point E(-4,5) 270 degrees, we can use the rotation formula x' = xcos(theta) - ysin(theta) and y' = xsin(theta) + ycos(theta). Applying this formula, the coordinates of point E after rotating are (5,4).

Step-by-step explanation:

To rotate a point in the coordinate plane, we can use the rotation formula:

x' = xcos(theta) - ysin(theta)

y' = xsin(theta) + ycos(theta)

Applying this formula to point E(-4,5) and rotating it 270 degrees, we have:

x' = -4cos(270) - 5sin(270)

y' = -4sin(270) + 5cos(270)

Calculating the values, we get:

x' = -4(0) - 5(-1)

y' = -4(-1) + 5(0)

x' = 5

y' = 4

Therefore, after rotating the image 270 degrees, the coordinates of point E are (5,4).

User Nissaba
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