Trapezoid ABCD is shown on the graph. If the trapezoid is rotated 90 degrees
counterclockwise about the origin and the resulting image is translated 6
units left, what are the coordinates of C"?

Trapezoid ABCD Is Shown On The Graph. If The Trapezoid Is Rotated 90 Degreescounterclockwise About The

Answers

Answer 1

Answer:

The coordinates of C" are (-7, 4)

Step-by-step explanation:

If the point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)If the point (x, y) translated horizontally to the left by h units, then its image is (x - h, y)

From the given figure

∵ ABCD is a trapezoid

∵ The coordinates of the ponit C are (4, 1)

∴ x = 4 and y = 1

∵ The trapezoid is rotated 90 degrees counterclockwise about the origin

→ By using the 1st rule above, change the sigh of y and switch them

∴ C' = (-y, x)

C' = (-1, 4)

∵ The resulting image is translated 6 units left

→ By using the 2nd rule above subtract the x-coordinate by 6

∴ C" = (x - h, y)

∵ h = 6

x = -1 and y = 4

∴ C" = (-1 - 6, 4)

C" = (-7, 4)

The coordinates of C" are (-7, 4)


Related Questions

Maria Louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first shape has 7 vertices, the second shape has 13 vertices, and the third shape has 19 vertices. If Maria Louisa assumes that the number of vertices in the sequence of shapes follows the same pattern, how many vertices would she expect the 17 shape to have?

Answers

Answer:

103

Step-by-step explanation:

appears to be an arithmetic sequence question where sequence is 7, 13, 19 meaning the initial value is 7 and the common difference is 6 so we'll plug into this formula:

[tex]a_{17}[/tex] = 7 + (17 - 1) · 6

    = 7 + (16 · 6)

    = 7 + 96

'7' because that's the initial value

'6' because that the common difference

'17' because that's the position the question is asking

which one should choose for my career cluster finances or business ​

Answers

you should choose business

Can someone solve this problem

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

slope-intercept form: y = mx + b

Hope this helps:)

A rectangle is 36 m long and 25m broad .Find the cost of carpeting the floor at the rate of R.s 650 \ square meter .

Answers

Answer:

585000Rs

Step-by-step explanation:

Area=l×b

Area =total cost/rate or rate ×area

Can someone please help me?

Answers

Answer:

yes

Step-by-step explanation:

Betty made 3:4 of the baskets she attempted in a basketball game. If she attempted 20 baskets, how many baskets did Betty make?

Answers

Answer:she would have made 15 baskets

Step-by-step explanation:She would have made 15:20 because since you had 3:4 it’s the same thing with 15:20 she is now going to make a maximum number of 15 baskets

CORRECT ANSWERS ONLY

Answers

Answer:

-5x^3+8

Hope this helps

Please help fast!

the following students bought different lunch items from the menu below. use the clues to match each student with the total price they paid for their lunches, each students total was different

Answers

Answer:

I filled it in for you. Hope it helps xx

Hannah deposited the same amount of money into her savings account each month after 5 months she had $2,550 into the savings account after 8 months she had $3,300 and the savings account create an equation that models the amount a and the savings account after x months not included interest show your work ever explain how you determine your equation

Answers

Answer:

a = 250x + 1300

Step-by-step explanation:

We have pairs (5, 2550) and (8, 3300)

Find the rate of change:

(3300 - 2550)/(8 - 5) = 750/3 =250

$250 is the amount added to savings account every month

Initial amount was:

2550 - 5*250 = 2550 - 1250 =1300

Since the change is linear and we have y-intercept and slope, we can show the amount after x months as:

a = 250x + 1300

During the month of January George worked a total of 21 days, 8 hours each day. He did not work any overtime hours during October. Henry earns $29 per hour. What was his earned wages for the month of January ?

A) $232.00
B) $4,872.00
C) $4,640.00
D) $609.00

Answers

Answer:

B

Step-by-step explanation:

21*8=168

29*168=$4,872.00

please help will give brainliest if correct i know it's not C ​

Answers

Answer:

Table 1

Step-by-step explanation:

Table represents a function because the Input does not repeat.

Answer:

the answer would be the first one

Step-by-step explanation:

Which of the following sets of ordered pairs represents a function?

{(-6,-1), (13,8), (1,6), (1,-10)}

{(3,5), (-17,-5), (3,-5), (-17,5)}

{(10,5), (10,-5), (5,10), (5,-10)}

{(10,5), (-10,-5), (5,10), (-5,-10)}

Answers

The 4th option is a function because x doesn’t repeat in it and all the others the x repeats

Hope this helps

Have a great day/night
Answer:
The last option

Explanation:
A function only works when x is paired with only one y. In the first three option the same x is paired with different y

The NYC DOE Laptop weighs around 48 oz (ounces). Note: 1 pound 16 ounces Find this weight in pounds What would be the weight in pounds for two NYC DOE Laptop's? (Explain your thinking)

Answers

Answer:

Step-by-step explanation:

ohh i seeee

2. A recipe calls for 1/2 cup flour for every 3 cups
of milk. If you use 1 1/2 cups of flour, how many
cups of milk will you need to use?

Answers

Answer:

9 cups of milk is used

Step-by-step explanation:

1/2 + 1/2 + 1/2 = 1 1/2

3×3 = 9

Plz I need help with this!

Answers

Answer:

what do you mean?

Step-by-step explanation:

Select the graph for the solution of the open sentence lxl +3>3

No solution
Closed circle on 0 going to the right
Open circle going out left and right
Open circle only going to the right

Answers

Answer:

[tex]x>0\:or\:x<0[/tex]

As seen in graph, there is an open circle on 0, and it goes out left and right.

Option C is correct option.

Step-by-step explanation:

We need to draw the graph for the solution of the open sentence [tex]|x| +3>3[/tex]

First we will solve the inequality: [tex]|x| +3>3[/tex]

Adding -3 on both sides

[tex]|x| +3-3>3-3\\|x| >0[/tex]

We know that [tex]If\:|x|>0,\:then\:x>0\:or\:x<0[/tex]

So, we have

[tex]x>0\:or\:x<0[/tex]

Now, the graph is attached in the figure below

As seen in graph, there is an open circle on 0, and it goes out left and right.

Option C is correct option.

Please help I need to catch up on school.

Answers

Answer:

D: y=-2x+5

Step-by-step explanation:

Answer:

y=-2x+5

Step-by-step explanation:

The basic formula you go by for these problems is y=mx+b.

For this example, b is 5 and m is -2.

This would make the problem y=-2x+5

Helpppppppppppppppppppppppppp

Answers

Answer:

1.

[tex]x < - \frac{5}{13} [/tex]

2.

[tex]x \geqslant - \frac{1}{5} [/tex]

Step-by-step explanation:

[tex] - \frac{13}{16}x + \frac{3}{8} < \frac{11}{16} \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: - \frac{3}{8 } < - \frac{3}{8} }{ \frac{ - \frac{13}{16}x }{ - \frac{13}{16} } < \: \: \: \frac{ \frac { 5}{16} }{ - \frac{ 13}{16} } } \\ \\ x < \frac{ - 5}{ \: 13} [/tex]

[tex] \frac{1}{3} \geqslant \frac{2}{9} - \frac{5}{9} x \\ \frac{ - \frac{ 2}{9} \geqslant - \frac{2}{9} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ \: \: \: \frac{1}{9}x }{ - \frac{ 5}{9} } \geqslant \frac{ - \frac{5}{9} }{ - \frac{5}{9} } } \\ \\ x \geqslant - \frac{1}{5} [/tex]

the race is 20 minutes long. aritza gets a 5 meter head start after 2 minutes she is at 10 meters what is her equation

Answers

5+2+10 is what i thibnk the answer is

PLS HELP ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITS RIGHT OR WRONG. SHOW PROOF.

Answers

Answer:

1,200 miles

Step-by-step explanation:

1/4 in = 100 miles

         |

There is 4/4 which makes 400 miles in 1 in.

        |

So 400*3=1,200

Can someone plz help me on number 4 plz

Answers

Answer: 6:5

Step-by-step explanation:

Let each little rectangle have the dimensions a by b (where a is the length and longer than b, the width). We find that l=3a because there are 3 lengths of a along l at the top of the crate and that l=4b because there are 4 lengths of b along l at the bottom of the crate. In addition, w=2b+a because there are 2 lengths of b and one length of a along w. Therefore, we can find b and a in terms of l and plug them into w=2b+a to find w in terms of l:

l=4b

b=l/4

l=3a

a=l/3

w=2b+a

w=2(l/4)+(l/3)

w=l/2+l/3

w=5l/6

If w=5l/6, l:w=l/(5l/6)=l(6/5l)=6/5

The correct answer is 6:5.

A day at the spa costs $125.
You leave a 20% tip.
How much tip did you leave?

Answers

Answer:

total cost is $150 so the tip is $25

Step-by-step explanation:

125:100=1.25

1.25 x 20 = 25

125+25=150

Is $25 tip................................

Somebody help plz i need some I’m dying inside help?

Answers

Answer:

1/3

Step-by-step explanation:

slope is just change in y over change in x

on a graph this can be found by counting the change in units

look at the point at (-3,0)

find the change in y by starting at that point and counting up or down until you reach another point.

the next point (-4,-3) is three units down (change of -3)

now go back to the first point and count left or right until you reach the other point to get change of x

the other point is one unit left (change of -1)

change of y over change of x = -1/-3=1/3

Answer:

slope = 3

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 4, - 3) and (x₂, y₂ ) = (- 3, 0) ← 2 points on the line

m = [tex]\frac{0-(-3)}{-3-(-4)}[/tex] = [tex]\frac{0+3}{-3+4}[/tex] = [tex]\frac{3}{1}[/tex] = 3

A 5.5-foot-tall woman walks at 8 ft/s toward a street light that is 22 ft above the ground. What is the rate of change of the length of her shadow when she is 20 ft from the street light? At what rate is the tip of her shadow moving?

Answers

Answer: [tex]\frac{8}{3}\ ft/s[/tex]

Step-by-step explanation:

Given

length of shadow =22 ft

height of woman =5.5 ft

speed of woman [tex]\frac{dy}{dt}=8\ ft/s[/tex]

from the figure, we can write

[tex]\frac{22}{x+y}=\frac{5.5}{x}[/tex]

at given instant

y=20 ft

so, using similar triangle properties

[tex]\frac{22}{x+20}=\frac{5.5}{x}\\22x=5.5x+110\\16.5x=110\\x=6.67\ ft[/tex]

Again we can write

[tex]\dfrac{22}{x+y}=\dfrac{5.5}{x}\\22x=5.5x+5.5y\\16.5x=5.5y\\3x=y\\\text{differentiate w.r.t time} \\3\frac{dx}{dt}=\frac{dy}{dt}\\\frac{dx}{dt}=\frac{1}{3}\times 8=\frac{8}{3}\ ft/s\ \text{away from the woman}[/tex]

Which expression simplifies 6(2 + x + x + y) using only 3 terms

Answers

Answer: 6(2+2x+1y)

Step-by-step explanation:

i think that is the anwser

Ms. Chawla’s class has 35 students. On children’s day, she gave 2 chocolates to each child in her class. After that, 5 chocolates were left with her. How many chocolates did she have at the start?

Answers

Answer:

75

Step-by-step explanation:

Total number of students = 35

Nø of chocolate received by each student = 2

Number of chocolates = 35 * 2 = 70

After the distribution of chocolate, remaining chocolates = 5

Then Now

Total chocolates = 70 + 5 = 75

Hope it will help :)

Answer:

75 Chocolates.

Step-by-step explanation:

She had 35 students and she gave each 2 chocolates. That's 70, but she had 5 left over. That makes the answer 75.

What is the answer to 3(2M-6)

Answers

Hey there![tex]\bold{3(2m-6)}\\ \bold{Distribute\downarrow}\\\bold{3(2m) + 3(-6)}\\\bold{3(2m)=6m}\\ \bold{3(-6) =18}\\ \\ \\ \\ \boxed{\boxed{\bold{Answer: 6m-18}}}\huge\checkmark[/tex]Good luck on your assignment and enjoy your day! ~[tex]\frak{LoveYourselfFirst:)}[/tex]

The number of lines shows 5/7 and 10/14. Which statement is true?

Answers

Answer:

[tex]\frac{5}{7} = \frac{10}{14}[/tex] because [tex]\frac{5}{7} = \frac{(5)(2)}{(7)(2)} = \frac{10}{14}[/tex].

Step-by-step explanation:

Looking at the number line, we can see that the highlighted parts go the same distance on the number line, therefore the fractions are equal. The number of equal parts, the size of a single equal part, or the denominators of two fractions do not matter. It's the total size made of up of those equal parts that counts.

Also, you can even convert [tex]\frac{5}{7}[/tex] into [tex]\frac{10}{14}[/tex] by multiplying BOTH the denominator and numerator by 2. When doing this with any number, regardless if it's 2, the original fraction and the converted fraction will still be equal.

Stefan sells Jin a bicycle for 138 ​$ and a helmet for 16 ​$. The total cost for Jin is ​140% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend​ originally? How much money did he make by selling the bicycle and helmet to​ Jin?

Answers

Answer:

its 3

Step-by-etep explanation:

Here’s!! hxhxhxbbd & thanks again

Answers

Answer:

x=2

Step-by-step explanation:

this is just like the last one. since it is vertical it only includes the x value 2

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