The point (-3, -1) is rotated 90° clockwise around center (0,0). What are the coordinates of the transformed point?

The coordinates of the transformed point are: (-1, 3)

Step-by-step explanation:

Given that the point (-3, -1) is rotated 90° clockwise around the center (0, 0).

Important Tip:

Let the coordinates of the point M(x, y).

Therefore, the general rule to rotate a point 90 degrees clockwise direction around the center (0,0) is:

M(x, y) → M'(y, -x)

where M'(y, -x) is the transformed point.

In our case,

The point (-3, -1) is rotated 90° clockwise around center (0,0)

Using the general rule to rotate a point 90 degrees clockwise direction around the center (0,0).

M(x, y) → M'(y, -x)

P(-3, -1) → P'(-1, -(-3)) → P'(-1, 3)

Therefore, the coordinates of the transformed point are: (-1, 3)

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

answer rather than having to add and subtract the measurements of the semi-circle, notice that the semicircle to the left of ad is actually identical in area to the blank semicircle-shaped space to the left of bc. so if we transferred the red semicircle into the blank space, we would end up with a square of side length 24 cm. the area of a square is s^2 = 24^2 = 676 cm^2.

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