Someone help please :)

Answer:

The scale factor that transforms quadrilateral ABCD to quadrilateral A'B'C'D' is 3

Step-by-step explanation:

Quadrilateral ABCD has the following coordinates

A(1, 5), B(2, 6), C(3, 3) and D(1, 3)

The image A'B'C'D' has the following coordinates;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment [tex]\overline {AB}[/tex] = √((2 - 1)² + (6 - 5)²) = √2

The length of segment [tex]\overline {BC}[/tex] = √((3 - 6)² + (3 - 2)²) = √10

The length of segment [tex]\overline {CD}[/tex] = √((1 - 3)² + (3 - 3)²) = 2

The length of segment [tex]\overline {DA}[/tex] = √((1 - 1)² + (3 - 5)²) = 2

For quadrilateral, we have;

A'(-3, 1), B'(0, 4), C'(3, -5), D'(-3, -5)

The length of segment [tex]\overline {A'B'}[/tex] =  √(0 - (-3))² + (4 - 1)²) = 3·√2

The length of segment [tex]\overline {B'C'}[/tex] = √((3 - 0)² + (-5 - 4)²) = 3·√10

The length of segment [tex]\overline {C'D'}[/tex] = √((-3) - 3)² + (-5 - (-5))²) = 6

The length of segment [tex]\overline {D'A'}[/tex] = √((-3) - (-3))² + ((-5) - 1)²) = 6

The scale factor that transforms quadrilateral ABCD to A'B'C'D' is given as follows;

[tex]The \, scale \, factor \, of \, transformation = \dfrac{\overline {A'B'}}{\overline {AB}} = \dfrac{\overline {B'C'}}{\overline {BC}} = \dfrac{\overline {C'D'}}{\overline {CD}} = \dfrac{\overline {D'A'}}{\overline {DA}} = 3[/tex]

Therefore, the scale factor that transforms quadrilateral ABCD to A'B'C'D' = 3

Answer:

4:6

Step-by-step explanation:

um there is no picture to count from so i will created a random one which was 4:6

Answer:

[tex] x = 75\degree [/tex]

Step-by-step explanation:

[tex] m\angle EFB +105\degree = 180\degree [/tex]

(linear pair angles)

[tex] m\angle EFB = 180\degree - 105\degree [/tex]

[tex] m\angle EFB = 75\degree [/tex]

[tex] \because x = m\angle EFB [/tex]

(corresponding angles)

[tex] \therefore x = 75\degree [/tex]

Answer:

1/6

3/10

1 7/8

1 6/7

1 5/9

should be anyway

Answer:

28

Step-by-step explanation:

you do

252 divided by 9 and you get 28 as an answer

28 CADA AULA

Step-by-step explanation:DIVIDES 252 ENTRE 9

Answer:

|-10| is bigger than |3| because when taking the absolute value (the vertical line) of a number, you are counting how far away from 0 it is meaning that both 10 and -10 are 10 spaces away from 0. The negative doesn't matter.

Answer:

0.46%

Step-by-step explanation:

0.0046*100%= 0.46%

Answer:

0.90 seconds

Step-by-step explanation:

We will see that one complete revolution takes (2π/7) seconds.

Here we have the function:

f(x) = 33sin(7x−π/12) + 33

The time needed to do a full revolution is given by the period of the function.

Remember that:

sin(x) = sin(x + 2π).

Then:

sin(7x−π/12) = sin(7*(x + T) −π/12)

Then we must have:

2π = 7*T

Where T is the period.

Solving for T, we have:

2π/7 = T

This means that one complete revolution takes (2π/7) seconds.

If you want to learn more about sine functions, you can read:

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Answer:

40in long your welcome I hope /his helps

Answer:

y = -7/2x - 7

Step-by-step explanation:

let me know if you need the steps . . .

Answer:

x=10

Let's solve your equation step-by-step:

4x+40=80

Step 1: Subtract 40 from both sides

4x+40−40=80−40

4x=40

Step 2: Divide both sides by 4

4x/4=40/4

Answer:

x=10

Answer:

collect like terms

4x=80 - 40

4x= 40

divide both sides by 4

4x/4÷ 40/4

x = 10

Step-by-step explanation:

you're welcome

Answer:

-91

Step-by-step explanation:

d/7=-13

d=-13*7

d=-91

Answer:

d=-91

Step-by-step explanation:

d/7=-13

d=-13*7

d=-91

Answer:

Try typing into a scientofic calculator I reccomed the site desmos

Step-by-step explanation:

Answer:

12a + 8b

Step-by-step explanation:

There isn't An outcome due to the fact that it needs more to be worked out, but that's the simplified form, I believe that's what they wanted to know.

Hope It Helps!

Answer:

29 books ; 5 bookshelfs

Step-by-step explanation:

Solving logically ;

Prime numbers between 21 and 30 = 23, 29

Hence, number of books Fernando has is either 23 or 29

Taking 4 away from the number of books, he'll be able to arrange same number of books on each of his book shelve;

From the statement, we can conclude that :

Subtracting 4 from the number of books Fernando has should give a perfect square

If 23 books

23 - 4 = 19 ; 19 isn't a perfect square

If 29 books :

29 - 4 = 25

Hence, to place the same Number of books on each shelf :

Sqrt(25) = 5

Hence, number of bookshelf = 5

Answer:

n<7

Step-by-step explanation:

hope i did okay for you

Answer:

7>n

Step-by-step explanation:

6-8n>-8-6n

Add 8n on both sides

6>-8+2n

Add 8 on both sides

14>2n

Divide

7>n

Answer:

2624= 82%

18%= 2624/82=32. 32*18=576

Step-by-step explanation:

If 2624 people attending supported the home team, the total number

of people attending the game will be 3200.

It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.

The usage of percentages is widespread and diverse. For instance, numerous data in the media, bank interest rates, retail discounts, and inflation rates are all reported as percentages. For comprehending the financial elements of daily life, percentages are crucial.

It is given that 18% were supporting the visiting team and 2624 people attending supported the home team as a result 82 % were supporting the home team,

Let the total number of people attending the game be x.

⇒82% of x = 2624

⇒(82/100)×x= 2624

⇒x= (2624×100)÷82

⇒x=3200

Hence, if 2624 people attending supported the home team, the total number of people attending the game will be 3200.

Learn more about the percentage here:

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Answer:

simplest form

Step-by-step explanation:

Simplest form is a method of converting the fraction to its lowest multiple.

For example, the fraction 25/100 isn't in its simplest form

Both the numerator and the denominator can be divided by 5. When divided by 5 the fraction becomes 5/20.

5/20 is still not in its simplest form because it can be divided by 5. When divided by 5, the fraction becomes 1/4.

1/4 is now in its simplest form because both the numerator and denominator cannot be divided by any other number

Answer:

Hot Dogs: 35

Soda: 52

Step-by-step explanation:

35 hot dogs + 52 sodas is 87 items.

35 x $1.50 = $52.50

52 x $0.50 = $26.00

$52.50 + $26.00 = $78.50

Answer:

2

Step-by-step explanation:

2 is a value of x that would not make the set a function because a function can't have multiple coordinates wit hthe same domain (x-coordinate). 2 is a domain that has already been used in the point (2,7). If this is used in (x,5), the point would become (2,5) and repeat a domain.

Note:

The x-coordinate could also be 1 or 6 because they have been used as domains as well.

Hope it helps!

Answer:

b=37

Step-by-step explanation:

if the angles are supplementary then they will add up to equal 180.

to find b you just subtract 143 from 180 to get 37

Answer:

y = -4x - 1

Step-by-step explanation:

-12x-3y=3

y = mx + b } basic formula for a line

-12x - 3y = 3

-12x = 3 + 3y

-12x - 3 = 3y

-4x - 1 = y

y = -4x - 1

-1 = y intercept

Answer:

slope = -4

y-itsc = -1

Step-by-step explanation:

Answer:

I wrote out the answers on top of the sheet. Hope this helped!

Step-by-step explanation:

Answer:

4/125

Step-by-step explanation:

Answer:

yes???

Step-by-step explanation:

your question either doesn't make sense or I just don't know

Answer:

h=4

Step-by-step explanation:

3/5+h=23/5

h= 23/5-3/5

h=(23-3)/5

h=20/5

h=4

Answer:

Greetings! I have your answer, as I have done the test, was in fact correct.

Step-by-step explanation:

Angela’s age is 4 years  more than twice Joe’s age:

2x + 4

Deshawn’s age is 3 years  more than half Joe’s age:

I/2 + 3

Bruce’s age is 4 years  more than half Joe’s age:

I/2 + 4

Callie’s age is 3 years  less than 4 times Joe’s age:

4x + 3

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

I hope this helps! ^^

Answer:

i got your answer

Step-by-step explanation:

Angela’s   2x + 4

Deshawn’s   I/2 + 3

Bruce’s    I/2 + 4

Callie’s 4x + 3

Answer:

[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)}=1[/tex]

Step-by-step explanation:

We are given:

[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)[/tex]

And we want to evaluate it using L'Hopital's Rule.

First, using direct substitution, we will acquire:

[tex]=(1-1)^\ln(1)}=0^0[/tex]

Which is indeterminate.

In order to apply L'Hopital's Rule, we first need to manipulate the expression. We will let:

[tex]y=(x-1)^\ln(x)[/tex]

By taking the natural log of both sides:

[tex]\ln(y)=\ln(x)\ln(x-1)[/tex]

And by taking the limit as x approaches 1 from the right of both functions:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=\lim_{x\to 1^+}\ln(x)\ln(x-1)[/tex]

Rewrite:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{\ln(x-1)}{\ln(x)^{-1}}[/tex]

Using direct substitution on the right will result in 0/0. Hence, we can now apply L'Hopital's Rule:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{1/(x-1)}{-\ln(x)^{-2}(1/x)}[/tex]

Simplify:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}\frac{1/(x-1)}{-\ln(x)^{-2}(1/x)}\Big(\frac{-x\ln(x)^2}{-x\ln(x)^2}\Big)[/tex]

Simplify:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}-\frac{x\ln(x)^2}{x-1}[/tex]

Now, by using direct substitution, we will acquire:

[tex]\displaystyle \Rightarrow -\frac{1\ln(1)^2}{1-1}=\frac{0}{0}[/tex]

Hence, we will apply L'Hopital's Rule once more. Utilize the product rule:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)= \lim_{x\to 1^+}-(\ln(x)^2+2x\ln(x))[/tex]

Finally, direct substitution yields:

[tex]\Rightarrow -(\ln(1)^2+2(1)\ln(1))=-(0+0)=0[/tex]

Thus:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=0[/tex]

By the Composite Function Property for limits:

[tex]\displaystyle \lim_{x\to 1^+}\ln(y)=\ln( \lim_{x\to 1^+}y)=0[/tex]

Raising both sides to e produces:

[tex]\displaystyle e^{\ln \lim_{x\to 1^+}y}=e^0[/tex]

Therefore:

[tex]\displaystyle \lim_{x\to 1^+}y=1[/tex]

Substitution:

[tex]\displaystyle \lim_{x\to 1^+}(x-1)^\ln(x)}=1[/tex]