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leva [86]
3 years ago
9

The point (5,4) is rotated 180° clockwise

Mathematics
1 answer:
zmey [24]3 years ago
3 0

Answer:  (-5,-4)

Step-by-step explanation:

I assume that you need the new coordinates of the point after the rotation centered at the origin.

For this exercise it is important to remember the definition of "Rotation".

A Rotation is defined as a transformation which a figure is rotated about a fixed point known as "Center of rotation".

The figure before the transformation is called Pre-Image and the figure obtained after the transformation is called "Image".

The 180 degree rotation about the origin Rule states that:

(x,y) → (-x, -y)

Therefore, knowing that the given point (5,4) is rotated 180 degrees clockwise about the origin, you can conclude that its Image is:

(-5,-4)

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Stanley the skunk will save about 15.5 feet.

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3 years ago
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Blababa [14]

Answer:

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Step-by-step explanation:

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A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than
-BARSIC- [3]

Answer:

a) Null Hypothesis: length of each screw is less than 14 centimeters

b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

Step-by-step explanation:

Complete question

A factory that manufactures screws is performing a quality control experiment. Each object should have a length of no more than 14 centimeters. The factory believes that the length of the screws exceeds this value and measures the length of screws. The sample mean screw length was centimeters. The population standard deviation is known to be centimeters.

1. What is the null hypothesis?

2. What is the alternative hypothesis?

Solution :

The null hypothesis is basically the problem statement that needs to be tested.

Alternate hypothesis is opposite of that of null hypothesis

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b) Alternate Hypothesis: length of each screw is equal to or greater than 14 centimeters

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If the measure of angle 1 is 78 degrees and the measure of angle 3 is (5x-2)degrees, what is the value of x ?
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Vertical Angles are congruent (equal)

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