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ch4aika [34]
3 years ago
7

How would you find the vertices of an image of a figure was rotated 270 degrees clockwise? 15 POINTS! DESPERATE

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
7 0

Rotating 90° (counterclockwise): (x, y) → (-y, x)

Rotating 180° (counterclockwise): (x, y) → (-x, -y)

Rotating 270° (counterclockwise): (x, y) → (y, -x)

The easiest way to explain this is:

1) Draw a point <em>(I am going to choose (2, 4), which is in Quadrant 1)</em>

2) Now, rotate your paper <em>or graphing board</em>  90°

3) Next, assume that your x-axis is horizontal and y-axis is vertical based on your rotation which means that the point has now moved to Quadrant 2. What is the new coordinate of the point? <em>(-4, 2)</em>

*****************************************************

Rotating another 90° again is a rotation of 180° from the original point

Rotating yet another 90° is a rotation of 270°.  <em>Not to confuse you, but 270° counterclockwise is the same as 90° clockwise.</em>

boyakko [2]3 years ago
5 0

Rotation Coordinate Notation About the Origin:

90–degree counterclockwise: (x, y) → (-y, x)

180–degree counterclockwise: (x, y) → (-x, -y)

270–degree counterclockwise: (x, y) → (y, -x)

Use this to help you..

Example -

The vertices of a triangle are

( 1 , 3 ) ( 3 , -4 ) , ( - 6 , -8 )

270 degrees , clockwise , rotated from origin ( x , y ) - ( y , -x )

The first vertice = ( 1 , 3 )

after rotation - ( 3 , - 1 )

The second vertice = ( 3 , -4 )

After rotation - ( -4 , -3 )

The third vertice = ( -6 , - 8 )

After rotation - ( -8 , 6 )

Hope my answer helps!

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Please answer the image below
nikklg [1K]

Answer:

<h2>301.593</h2><h2 />

Step-by-step explanation:

surface area = 2πrh + 2πr²

where r = 4 km radius

           h = 8 km

<u>plugin values into the formula</u>

surface area = 2πrh + 2πr²

                     = 2π (4) 8  +  2π (4)²

                     = 201.062  +  100.531

                     = 301.593 km²

7 0
2 years ago
EXTRA POINTS!
antiseptic1488 [7]

Answer:

y = 15

Step-by-step explanation:

angle poq + angle qor equals mpor (120)

4y + 3y + 15= 120

7y+15=120

subtract 15 from both sides

7y=150

divide both sides by 7

y=15

check:

4(15) + 3(15) + 15 equals 120

60 + 45 + 15 = 120

120 = 120

7 0
3 years ago
What is the inverse of f(x)= cube root of x +2.
DiKsa [7]
F(x)=\sqrt[3]{x+2}
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)

so we have
f(x)=\sqrt[3]{x+2}
subsitute f(x) with y
y=\sqrt[3]{x+2}
switch x and y
x=\sqrt[3]{y+2}
solve for y

x=\sqrt[3]{y+2}
cube both sides
x^{3}=y+2
subtract 2 from both sides
x^{3}-2=y

subsitute y with f⁻¹(x)
f⁻¹(x)=x^{3}-2



the answer is f⁻¹(x)=x^{3}-2



8 0
3 years ago
A shelf has 20 bags of potatoes. Two of the bags have potatoes starting to go bad. The probability of drawing a bag with bad pot
nekit [7.7K]

Probability of drawing bad potatoes = 0.1

The probability of drawing a bag with bad potatoes is less than 1.

The probability of drawing a bag with good potatoes is greater than 0

The probability of drawing a bag with bad potatoes as a decimal .

The probability is 20% which means 20 by hundred , which means there is a chance of being its ok.

probability of bad potatoes = 2/20

=1/10

=0.1

probability of good potatoes = 1- ( probability of bad potatoes)

=1-0.1

=0.9

To learn more about probability

brainly.com/question/173579

#SPJ4

3 0
1 year ago
Someone plsss help ASAP I give points
disa [49]

Answer:

90

Step-by-step explanation:

6 0
2 years ago
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