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Likurg_2 [28]
3 years ago
9

If P=(2,-1),find the image of P under the following rotation. 180 degrees counterclockwise about the origin

Mathematics
1 answer:
vichka [17]3 years ago
3 0

9514 1404 393

Answer:

  (-2, 1)

Step-by-step explanation:

Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.

  (x, y) ⇒ (-x, -y) . . . . . rotation 180°

  (2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P

The coordinates of the rotated point are (-2, 1).

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the distance between points M and P

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A boat is heading towards a lighthouse, whose beacon-light is 136 feet above the
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The distance between the points A to B is 899.9 feet. After rounding off the  nearest integer we get 900 feet as the final answer.

Given we know that CD is perpendicular to AD.

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As from points A the boat's crew measure the angle of elevation to the beacon as 6°

therefore, m∠A = 6°

Another time the angle of elevation is measured from point B which is 19°.

therefore, m∠DBC = 19°

tan 19° = CD/BD

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now for tan 6° = CD/AD (tangent is opposite over adjacent)

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Learn more about Heights and distances here:

brainly.com/question/2004882

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