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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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C because the x's repeat with the 3 and 3. If the x's repeat it is not a function.

Hope that helps.
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3 years ago
A bouquet of flowers contains a total of 24 red and white roses. The number of red roses is 4 less than three times the number o
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Answer:

White roses - 7

Red roses - 17

Step-by-step explanation:

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White roses = x

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3 years ago
The Yasuda family bought a toy that cost t dollars and a game that cost g dollars. Both were on sale. Which of these methods cou
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The equation that the clerk can use to calculate their total bill is t + g.

<h3>How to illustrate the equation?</h3>

From the information given, Yasuda family bought a toy that cost t dollars and a game that cost g dollars.

The equation to calculate their total bills will be:

= t + g

where,

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g = cost of game.

In this case, the equation that the clerk can use to calculate their total bill is t + g .

Learn more about equations on:

brainly.com/question/2972832

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7 0
2 years ago
What is 2(x -3) = 7 (x+24)
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Answer:

x = -34.8

Step-by-step explanation:

<h2><u>solve the equation</u></h2>

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2x - 6 = 7x + 168

now make x subject of formula:

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x = 174/ -5

<h3><u>x = -34.8 </u></h3>
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3 years ago
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