A triangle has vertices (1,4),(1,1),and (-3,1). The triangle is dilated by a scale factor of two, then translated five units up, and then rotated 90° counterclockwise about the origin. What are the first roles of the image of the triangle?

Answers

Answer 1

The first roles of the image of the triangle are (-13, 2), (-7, 2), and (-7, -6).

Given the coordinates of the vertices (1,4),(1,1), and (-3,1), if the coordinate is dilated by a factor of 2, the resulting coordinates will be gotten by multiplying each coordinate by "2" to have (2, 8),(2,2), and (-6,2).

If it is translated five units up, the resulting coordinate will be gotten by adding 5 to the y-coordinates to have  (2, 13),(2, 7), and (-6,7).

If the resulting coordinate is then rotated 90° counterclockwise about the origin, the final position of the vertices will be at (-13, 2), (-7, 2), and (-7, -6).

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Related Questions

There is a puddle 1.4 cm deep in your backyard. After one minute of rain, the puddle was 1.45 cm deep. The puddle was 1.5 cm deep after it rained for two minutes. If the pattern continues, how deep will the puddle be after it rains for 45 min?

Answers

Answer:

I know answer. give me money I will tell everything..

Round 0.00359 to the nearest ten-thousandth.

Answers

Answer:

0.0036 !

Step-by-step explanation:

Give brainliest please :)

0.00359, when rounded to nearest thousandth results in 0.0036.

What is Rounding Off?

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc. Rounding off numbers is done to preserve the significant figures.

Given, value to be rounded is : 0.00359

Since, 1 ten thousands = 10000 (104). So, 1 ten thousandth = 0.0001 (10-4)

Therefore, while rounding to nearest ten thousandth, we round the fractional part(or decimal part) upto 4 digits.

Here, In 0.00359, the digit after ten thousandth place is 9, which is (equal to or greater) than 5. So, 5 can be rounded to 6.

Hence, finally, 0.00359, when rounded to nearest thousandth results in 0.0036

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Can someone help me with this please?

Answers

Answer:

0.5236 radians or 30 degrees

Step-by-step explanation:

We want to find the angle based on the opposite side and the hypotenuse.  Therefore, we need to use the inverse sine function:

Θ = sin[tex]^{-1} (\frac{5}{10})[/tex]

Simplifying the function, we get:

Θ = sin[tex]^{-1} (\frac{1}{2})[/tex]

Inputting this into a calculator, we get Θ = 0.5236 radians or 30 degrees.

Step-by-step explanation:

sin θ = 5cm/10cm

sin θ = ½

sin θ = sin 30°

therefore, θ = 30°.

hope this helps you.

Determine whether the relation represents a function.
{(-1, -1),(-2, -2), (-3, -3)}

Answers

Answer:

yes it determines a function

Step-by-step explanation:

has exactly 1 x value for every y value

w+2/2 + 2 = w-5/3 solve for w

Answers

Answer:

w = -28

Step-by-step explanation:

[Given] w+2/2 + 2 = w-5/3

[Rewrite] [tex]\frac{w+2}{2} +2=\frac{w-5}{3}[/tex]

[Break up fraction] [tex]\frac{w}{2}[/tex] + [tex]\frac{2}{2}[/tex] + 2 = [tex]\frac{w-5}{3}[/tex]

[Combine like terms] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w-5}{3}[/tex]

[Break up fraction #2] [tex]\frac{w}{2}[/tex] + 3 = [tex]\frac{w}{3}[/tex] + [tex]\frac{-5}{3}[/tex]

[Add [tex]\frac{-5}{3}[/tex] to both sides] [tex]\frac{w}{2}[/tex] + [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex]

[Subtract [tex]\frac{w}{2}[/tex] from both sides] [tex]\frac{14}{3}[/tex] = [tex]\frac{w}{3}[/tex] -  [tex]\frac{w}{2}[/tex]

[Common denomiator of 6] [tex]\frac{14}{3}[/tex] = [tex]\frac{2w}{6}[/tex] - [tex]\frac{3w}{6}[/tex]

[Subtract #2] [tex]\frac{14}{3}[/tex] = [tex]\frac{-w}{6}[/tex]

[Multiply both sides by 6] 28 = -w

[S ubtract 28 from both sides & add w to both sides] w = -28

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

The two tables below show the amount of tip, y, included on a bill charging x dollars.

A 2-column table with 3 rows titled Restaurant A. Column 1 is labeled x with entries 10, 20, 30. Column 2 is labeled y with entries 1, 2, 3.
A 2-column table with 3 rows titled Restaurant B. Column 1 is labeled x with entries 25, 50, 75. Column 2 is labeled y with entries 5, 10, 15.

Which compares the slopes of the lines created by the tables?
The slope of the line for Restaurant B is One-fifth times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 5 times greater than the slope of the line for Restaurant A.
The slope of the line for Restaurant B is 10 times greater than the slope of the line for Restaurant A.

Answers

9514 1404 393

Answer:

  (b)  The slope of the line for Restaurant B is 2 times greater than the slope of the line for Restaurant A.

Step-by-step explanation:

The slope of the relation for Restaurant A is ...

  y/x = 1/10

The slope of the relation for Restaurant B is ...

  y/x = 5/25 = 1/5 = 2×1/10

The slope of the line for Restaurant B is 2 times as great as the slope of the line for Restaurant A.

3
Roy and David both play football for the same team. A football match is 90 minutes long.
In one match, Roy plays for 70% of the 90 minutes and David plays for of the 90 minutes.
Who plays for the longer time and by how many minutes?

Answers

Answer:

27 minutes

Step-by-step explanation:

please check the image it has all the steps to solve it . Thank you.

HELPPP LAST ATTEMPT!!

Answers

Answer:

(0,4) is the answer hope it helps

I think it’s 0,4 if wrong check on Desmos

Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) + 4 O = A. (8 + 4) = 3 B. 8. (3 + 4) OC. (3 + 8) = 4 O 8) D. (3 + 4) : (8 + 4) SUBMIT​

Answers

Answer:

C

Step-by-step explanation:

known by checking all the answers for chooses

A parabola can be drawn given a focus of (-11, -4) and a directrix of x=11. Write the equation of the parabola in any form.

Answers

Answer:

Step-by-step explanation:

This will open to the left and the vertex will be at (0, -4).

Equation us (y + 4)^2 = -4*-11x

44x = (y + 4)^2

Each square below represents one whole ……. What percent is represents by the shade area ?

Answers

If 13/25 boxes are filled in, 0.52 is the decimal . You then multiply by 100 to get the percent: 52%.

helppppppppppppppppppppppppppppppppppp

Answers

Answer:

so the answer is bar graph..

You have 2.567 grams of water. What is the volume of water(use correct units)

Answers

Answer:

16

Step-by-step explanation:

16 grams

g Let x=(5,2,4)Tx=(5,2,4)T and y=(3,3,2)Ty=(3,3,2)T. Compute ‖x−y‖1,‖x−y‖2‖x−y‖1,‖x−y‖2, and ‖x−y‖[infinity]‖x−y‖[infinity]. Under which norm are the two vectors closest together? Under which norm are they farthest apart?

Answers

By definition of the [tex]\ell_p[/tex] norm,

[tex]\|x-y\|_1 = \displaystyle \sum_{i=1}^3 |x_i-y_i| = |5-3|+|2-3|+|4-2| = \boxed{5}[/tex]

[tex]\|x-y\|_2 = \displaystyle \left(\sum_{i=1}^3 |x_i-y_i|^2\right)^{\frac12}= \sqrt{|5-3|^2+|2-3|^2+|4-2|^2}= \sqrt9= \boxed{3}[/tex]

[tex]\|x-y\|_\infty = \max\limits_{i} |x_i-y_i| = \max\left\{|5-3|,|2-3|,|4-2|\right\}=\boxed{2}[/tex]

and so x and y are closest together with p = infinity and furthest apart with p = 1.

a prism is a 3d shape with the same _______ all the way through

Answers

Answer:

cross-section

Step-by-step explanation:

prism is a type of three-dimensional (3D) shape with flat sides.

It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.

Who ever sole this problem, with step by step soloution I will mark Brainliest (No Rubbish Please, I will report)

Answers

She could use the 500ml container four times

Or she could do
750ml + 500 ml = 1250
1250 + 250ml = 1500ml
And now she can add 750ml
And add another 250 ml
It will be 2500

Step-by-step explanation:

There are a couple of ways you could do this

10, 250ml (10*250=2500)

5, 500ml (5*500=2500)

3, 750ml + 250ml (3*750=2250.... 2250+250=2500)

There are many ways you could approach this. Hope these examples help

A circular garden has a diameter of 10 feet approximately how much edging trim is needed to surround the garden by placing the trim all along the gardens circumference

Answers

Answer: 31.4 feet

Step-by-step explanation:

For this, you basically need to calculate the perimeter of the circle. You do this using this formula:

diameter of the circle times Pie = the circumference of the circle

Since The number of Pie is infinite use the rounded version of pie to 2 decimal points which is 3.14(This is why the question asks for an approximate)

(Diameter = 10 Pie = 3.14 therefore circumference = 31.4)

10 times 3.14 = 31.4 feet

The amount of edging trim needed to surround the garden by placing the trim all along the gardens circumference is 31.4 ft.

The garden is circular in shape. Thereforem the trim that is needed to surround the garden is the circumfernce of the graden.

Circumference of a circle

The circumference of a circle is the perimeter of the circle. Therefore,

circumference = 2πr

where

r = radius

Therefore, the amount of edging trim needed to surround the garden by placing the trim all along the gardens circumference is as follows:

circumference = 2 × 3.14 × 5

circumference = 10 × 3.14

circumference = 31.4 ft

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paul is chrome plater at a local plant. if he plates 300 items or more, he is paid $1.25 each. for less than 300 items, he is paid $0.75 each. what is his total pay if he plates 321 items on Wednesday and 154 items on Thursday?

Answers

Answer:

Step-by-step explanation:

What is the solution of the linear -quadratic system of equations?
{y=x^2+5x-3
{y-x=2​

Answers

Answer:

Step-by-step explanation:

the answer is that it make no sense bro

Henry was granted a loan of £96.00. The interest rate was 24% per annum. Calculate the interest at the end of the year​

Answers

Answer:

110.00

Step-by-step explanation:

Four bags of Puppy Chow dog food weighs 142 pounds. What is the weight, in pounds, of one bag of Puppy Chow dog food?

Answers

Answer:

Is 35.5

Step-by-step explanation:

Pls give brainliest

Answer:

35.5 Lbs.

Step-by-step explanation:

You would just take 142 and divide that by 4 and you will get the weight of 1 bag. It would be 35.5 pounds.

Prices are going up in the ratio 6:5 Write a 60% decrease as a ratio.



HELP PLSSSSSSSSSSSSSSSSSSSSS

Answers

Answer:

To Decrease an amount in a given Ratio, we need to multiply by a fraction that is less than one. For example, in scaling down a recipe for four people into a recipe for 3 people, we would use the ratio of 3 : 4 which means we would multiply all our recipe amounts.

Circles C and C′ are similar. State the translation rule and the scale factor of dilation.

Question 12 options:


A) To obtain C′, circle C is translated to the right four units and down three units and is dilated with a scale factor of one.


B) To obtain C′, circle C is translated to the left three units and up two units and is dilated with a scale factor of 1∕2.


C) To obtain C′, circle C is translated to the right three units and down two units and is dilated with a scale factor of one.


D) To obtain C′, circle C is translated to the right three units and down two units and is dilated with a scale factor of two.

Answers

I think it’s B, I’m not sure tho, but I think it’s B from my old lessons

Mrs. Smith’s class raised a total of 994 silkworms, and 523 of them turned into moths about how many silkworms did not turn into months choose the better estimate

Answers

Answer:

471 that's the answer

Step-by-step explanation:

994 - 523 =471

Can anyone help me with this one asap? Thanks in advance.

Answers

The answer to your question is in the image above.

1. Find the coordinates of all points where the lines
x + y = 8, y = 5, and x = 1 intersect.

Answers

Answer:

(3)1. Find the coordinates of all points where the lines

x + y = 8, y = 5, and x = 1 intersect.

Step-by-step explanation:

this answer

The coordinates of all points where the lines x + y = 8, y = 5, and x = 1 intersect are (0, 5), (1, 0), (3, 5) and (1, 7).

Given that;

The equation of lines is,

x + y = 8

y = 5

x = 1

Now all the coordinates of all points where the lines x + y = 8, y = 5, and x = 1 intersect are find as,

x + y = 8

Put y = 5;

x + 5 = 8

x = 8 - 5

x = 3

Put x = 1;

1 + y = 8

y = 8 - 1

y = 7

Therefore, the points are (0, 5), (1, 0), (3, 5) and (1, 7).

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Evaluate - (3 ^ - 5) * (3 ^ 3)

Answers

Answer:

1 / 3^2 = 1/9

Step-by-step explanation:

3^-5 = 1/3^5

(1/3^5) * (3^3) = 3^3 / 1/3^5 = 3^3 / 3^5 = 1/3^2

The value of the given expression is 1/9 .

Given,

[tex](3^{-5}) (3^{3} )[/tex]

According to the power rule,

[tex](a^{m}) (a^{n} ) = a^{m + n}[/tex]

Now,

[tex](3^{-5}) (3^{2}) = 3^{-5 + 3}\\ \\ (3^{-5}) (3^{2}) = 3^{-2}[/tex]

[tex](3^{-5}) (3^{2}) = 1/3^{2}[/tex]

[tex](3^{-5}) (3^{2} ) = 1/9[/tex]

Thus with the power rule answer will be 1/9.

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Given the functions,
f(x) = x^3 - 4x^2 + 5
g(x) = x^2 + 6x - 7
h(x) = x + 6
Find f(g(-3)).

Answers

Answer:

f(g(- 3) ) = - 5115

Step-by-step explanation:

Evaluate g(- 3) then substitute the value obtained into f(x)

g(- 3) = (- 3)² + 6(- 3) - 7 = 9 - 18 - 7 = - 16 , then

f(- 16) = (- 16)³ - 4(- 16)² + 5

        = - 4096 - 4(256) + 5

        = - 4096 - 1024 + 5

        = - 5115

Is 1.05 greater than or less than 1.3

Answers

1.05 is less than 1.3 because the value in the tenths place in 1.05 is less than the one that’s in 1.3!!

The larger number is obtained as 1.3.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 1.05 and 1.3.

The decimal 1.3 can be written as 1.30.

Now, the two decimals can be compared as below,

1.05 and 1.30

Both the decimals have equal integer part.

Digit at tenths of 1.05 is 0 and for 1.30 is 3.

Since, 3 > 0.

⇒  1.30 > 1.05

Hence, 1.3 is greater than 1.05.

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9.-¿Cuál es el resultado correcto de esta
expresión aritmética: 14 - 8 + 3( -9-6)+ 27 / 9
+ raiz cuadrada 16 - 62

Answers

Answer:

-94

Step-by-step explanation:

14 - 8 + 3(-9 - 6) + 27/9 + √16 - 62 =

= 6 + 3(-15) + 3 + 4 - 62

= 6 - 45 + 7 - 62

= -39 + 7 - 62

= -32 - 62

= -94

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