The vertices of / are G(–4, 0), H(5, 2), and I(–2, –3). / is rotated 270° counterclockwise about the origin to form /. What are the coordinates of the vertices of /?

Answers

Answer 1

Answer: The coordinates of new vertices (after rotating 270 ° counterclockwise) are:
G 1 ( 0, 4 ),
I 1 ( -3, 2 )
H 1 ( 2, -5 )

Answer 2

Answer:

Answer:

The new coordinate of vertices of triangle after rotation G'(0,4) , H'(2,-5) and I'(-3,2)

Step-by-step explanation:

The vertices of triangle are G(–4, 0), H(5, 2), and I(–2, –3).

It is rotated 270° counterclockwise about origin to form new triangle.

Rotation about origin counterclockwise.

Using Rule:

$R_(270^\circ)(x,y)\rightarrow (y,-x)$

$G(-4,0)\rightarrow G'(0,4)$

$H(5,2)\rightarrow H'(2,-5)$

$I(-2,-3)\rightarrow I'(-3,2)$

The new coordinate of vertices of triangle after rotation G'(0,4) , H'(2,-5) and I'(-3,2)

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daniel is buhying a video game that costs 52.99. the sales tax is found by multiplying the cost of the video game by 0.07. how much is the sales tax for the video game? what is the total cost, including tax?

Answers

Answer:

sales tax for video games:

52.99*0.07=3.7093

total cost, including tax?

52.99+3.7093=56.6993=56.7

Akiba Ellis deposits the following in her checking account: 6 five-dollar bills, 5 two dollar bills, 12 one dollar bills, 9 half dollars, 6 quarters, 42 dimes, 10 nickels, 15 pennies, and a check for $97.23. what is her total deposit?

Answers

Answer:

$106.08

Step-by-step explanation:

Given:

6x $5.00

5x $2.00

12x $1.00

9x= 0.50

6x25 cent

42x10 cent

10x5 cent

15=15cent

$97.23

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6 five dollar bill is $30.00

so 5 two dollar bill is $10.00

12 one dollar bills is $12.00

9 half dollar bill mean 0.50 cent since it Half and that would make $4.50

6 quarter so 6x25 which equal $1.50

42 dimes and dimes =10 cent so 42x10 which equal $4.20

10 nickels and nickels = 5 cent so 10x5=0.50

15=15 pennies

-------------------------------------------------------------------------------------

30.00+10.00+12.00+4.50+1.50+4.20+0.50+0.15+97.23 =

$106.08 Total Deposit

The dashed figure is a dilation of the solid figure. Which of the following statements is true?a.The dilation is an enlargement.
b.The dilation is a reduction.
c.The dilation has a scale factor of 1/3.
d.The dilation has a scale factor of 3.
e.The dilation has a scale factor of 9.

Answers

The dilation is an enlargement and the dilation has a scale factor of 3. Therefore, options A and D are the correct answer.

From figure given below, square C has side of length 3 units.

What is a dilation?

Dilation is the process of resizing or transforming an object. It is a transformation that makes the objects smaller or larger with the help of the given scale factor. The new figure obtained after dilation is called the image and the original image is called the pre-image.

From given figure we can see the dashed figure, square has side of length 9 units.

Here we understood that the image has enlargement.

Now, scale factor = Dimensions of new image ÷ Dimensions of original image

= 9/3

= 3 units

Therefore, options A and D are the correct answer.

To learn more about the dilation visit:

brainly.com/question/13176891.

#SPJ5

Answer:

The dilation is also an enlargement.

Step-by-step explanation:

Which of the following is the conjugate of a complex number with 5 as the real part and −2i as the imaginary part?Answers:

5 + 2i

−5 − 2i

−5 + 2i

5 − 2i

Answers

Answer: the correct option is

(A) 5 + 2i.

Step-by-step explanation: We are given to select the complex number that is the conjugate of a complex number with 5 as the real part and −2i as the imaginary part.

We know that

a complex number z can be written as

z = a + bi, where a is the real part and bi is the imaginary part.

According to the given information, we have

a = 5 and b = -2i

So, z = 5 - 2i.

Therefore, the conjugate of z is given by

$\bar{z}=5+2i.$