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satela [25.4K]
2 years ago
11

What is the image of the point (-5, 4) after a rotation of 270° counterclockwise

Mathematics
1 answer:
Illusion [34]2 years ago
5 0

Answer:

(4, 5)

Step-by-step explanation:

this is the same as a 90° rotation clockwise.

with the coordinates of (-5, 4) we start in the top left quadrant (x values are negative, y values are positive).

and we end up in the top right quadrant (x and y values are positive).

the line from the origin to the point is perpendicular (90° angle) to the line of the origin to the original point, as we just rotated by 90° or 270°.

that means the rules for the slope of perpendicular lines apply :

x and y coordinate differences trade places, and the sign of their ratio is flipped.

luckily, because the origin is the reference point for both lines, the point coordinates are automatically the coordinate differences to (0, 0).

and because we need to get 2 positive coordinates, that means

(-5, 4) turns into (4, 5)

as the alternative (-4, -5) would be in the bottom left quadrant.

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Answer:

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Step-by-step explanation:

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Check:

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Hope this helps!

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\text {Hi! Let's Solve this Problem!}

\text {Before you find the Mean, Medina and Mode you must put the numbers in order.}

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\underline {\text {Mean}}

\text {To Find the Mean you must Add all the Numbers then Divide.}

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\fbox {87}

\underline {\text Median}}

\text {To find the Median you find the number that's in the middle of the set.}

\text {Put your Left Pointer Finger on 83. Put your Right Pointer Finger on 91.}

\text {Move your Left Finger to the Right. Move your Right Finger to the Left.}

\text {Once your Left Finger makes it to 84 and your Right Finger makes it to 87} \text {it shows that 85 is left in the middle.}

\text {The Median Is:}

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\text {Finding the Mode means finding the number} \text { that shows the most in the number set given.}

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Jordan has 4/5 as many DVDs as Joseph means joseph has more DVDs than Jordan. number of joseph's DVDs * 4/5 = 56 so 
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*

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