Your visually impaired friend asked you to enlarge your notes from class so he can study. You took notes on 8.5-inch by 11-inch paper. The enlarged copy has a smaller side with a length of 10 inches. What is the scale factor of this dilation?
Find the scale factor.

Answers

Answer 1

Answer:FINDING A SCALE FACTOR Your visually impaired friend asked you to enlarge your notes from class so be can study. You took notes on 8.5-inch by 11-inch.

Step-by-step explanation:thank you

Answer 2

The scale factor is 20/17.

According to the question, you took notes on a paper with dimensions 8.5 inches × 11 inches.

the breadth of the paper is 8.5 inches

the length of the paper is 11 inches

Now, to make an enlarged copy, you used a paper that has its smaller side dimension of 10 inches.

Which means the breadth of the new paper is 10 inches.

So, if we calculate the ratio of the breadths we get the scale factor.

          k = 10 / 8.5

        k = 20/17 is the scale factor of dilation.

Learn more about scale factor:

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Related Questions

Can some one help me

Answers

Answer:

Step-by-step explanation:

Line A:

Mark two points in line A.

(1,3) & ( 2 , 5)

[tex]Gradient =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{5-3}{2-1}=\dfrac{2}{1}\\\\\\= 2[/tex]

Line B:

(0,5) ; (5,0)

[tex]Gradient = \dfrac{0-5}{5-0}=\dfrac{-5}{5}=-1[/tex]

r^2 - 8r - 22 = 6 solve for r

Answers

Answer:

-34

Step-by-step explanation:

r^2 - 8r - 22  ( R = 6)

6^2 =36   (8r = 8*6=48)

36 - 48 =  -12

-12 - 22 = -34

Drag the numbers to order them from least to greatest.
0.7
-4.5
0.3
-0.5
2.3

Answers

Answer:

-4.5, -0.5, 0.3, 0.7, 2.3

Step-by-step explanation:

The higher the negative number the lower it really is.

Answer:

-4.5, -.5, .3, .7,2.3

Step-by-step explanation:

PLS HELPP!! The table shows the progress of Carson and Jayden as they each read books. Carson Jayden Pages Minutes Pages Minutes 8 6 6 97 16 11.5 12 18 20 20 30 What TWO statements are TRUE?​

Answers

Answer:

Step-by-step explanation:

Gemma made 106 beaded necklaces . Leah made 145 beaded necklaces.


At a recent craft fair, Gemma sold each of her necklaces for $14. Leah sold each of her necklaces for $10 more. Who made more money at the craft fair? How much more? ( im using my brothers acc and he is 16)

Answers

Gemma made $34 more money than Leah :)

Answer: Leah made more money by 1,996 dollars more than Gemma,

Step-by-step explanation: 1484 is how much Gemma made and 3480 is how much Leah made all you had to do is multiply the total amount of necklaces they sold and the price of each so Leah made more money by 1996 dollars

(6x + 4) - (3x - 2) simplify

Answers

Answer:

9x -2

Step-by-step explanation:

6x + 4 - 3x - 2

6x + 3x +4 - 2

9x -2

Answer:

3x + 4

Step-by-step explanation:

(6x + 4) - (3x - 2) simplify

(6x + 4) - (3x - 2)=

6x + 4 - 3x + 2

3x + 6

simplify by combining like terms -(m+n)+2 (m-3n)​

Answers

-(m+n)+2(m-3n)

-m+n+2m-6n

-m+2m+n-6n

m-5n

Answer:

m -7n

Step-by-step explanation:

-(m+n)+2 (m-3n)​, distribute in the first parenthesis the -1 and in the second parentheses the 2

-m -n + 2m -6n , group like terms

-m + 2m -n -6n , combine like terms

     

     m     -7n

how many teaspoons are in 15 milliliters? 1 tsp = 5 mL

Answers

Answer:

The number of teaspoons in 15 ml is 3 tsp.

Step-by-step explanation:

All you have to do is divide 15 by 5 and get 3. This is because for every 5 ml there is 1 tsp. So for the 15 ml, there is 3 tsp.

hi please help with this
have a great day​

Answers

Answer:

Can you explain what this is then I can help

Answer:

- 11

Step-by-step explanation:

Given a = -2.9

Simplify the fraction:

(a² + a - 12)/(9 - a²) =(a² + 4a - 3a - 12)/(3 - a)(3 + a) =(a - 3)(a + 4) / - (a - 3)(a + 3) =- (a + 4) / (a + 3)

Now substitute the value of a:

- (- 2.9 + 4) / (-2.9 + 3) =- 1.1 / 0.1 = - 11

Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10

Answers

Step-by-step explanation:

x = -2 and x = -5

x + 2 = 0 and x + 5 = 0

(x + 2)(x + 5) = 0

x² + 5x + 2x + 10 = 0

x² + 7x + 10 = 0

f(x) = x² + 7x + 10

The  quadratic equation is x² + 7x + 10.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the zeroes of Quadratic Equation as -2 and -5.

So, the factors of the equation is (x +2 ) and (x + 5).

Then, the Quadratic equation is

= (x+5)(x+2)

= x² + 5x +2x + 10

= x² + 7x + 10

Thus, the quadratic equation is x² + 7x + 10.

Learn more about Quadratic Equation here:

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#SPJ1

Need some help for Exponents.




1) Five squared

2) Eight to the 5th power

3) Nine cubed

4) 2 x 2 x 2 x 2

5) 7 x 7 x 7 x 7 x 7 x 7

6) 2.3 x 2.3

Find the value of each of the following:

7) 54

8) 132

9) (1.2)2

10) 180

11) 10002

12) 72 x 70

Critical Thinking Applications

13) Mali bought a new car. She drove 63 miles the first month and 64 miles the second month. How much further did she drive the second month? Explain each step.

14) Create an application problem similar to the one above. Solve your problem. Explain each step.

15) In your own words, write three or four sentences explaining what exponents are and how they are used in math.

16) Create and solve 5 problems using exponents.

Answers

Answer:

1) 25

2) 32,768

3) 729

4) 16 or 2^4

5) 117,649 or 7^6

6) 5.29 or 2.3^2

Not sure what 7-12 mean

13) 1 mile 64-63=1

14) Mali bought a new car. She drove 63 miles the first month and 100 the second month. How much further did she drive the second month? Explain each step. 37 miles 100-63=37

15) An exponet is a number raised to a power, which means that number times itself that many times. It is used because it's alot easier to go 7^6 than 7x7x7x7x7x7.

16) 8^5= 32,768  6^6= 46,656  5^7= 78,125  5^5= 3,125  4^10= 1,048,576

Step-by-step explanation:

What is the value of y?

Answers

Answer:

40°

Step-by-step explanation:

We know that a triangle is equal to 180°

Since one angle is 50° we can figure out that the rest of the angles are equal to 130° (180° - 50°)

If we use 40° then 2·(40°) = 80°

and the second angle is 40° + 10° = 50°

if we add all the angles (80° + 50° + 50°) we get 180° which is correct.

Given: 3x < -6.



Choose the solution set.

{x | x > -2}
{x | x < -2}
{x | x > 2}
{x | x < 2}

Answers

Answer:

First divide 3 on both sides to get x by itself, now you have x < -2.

Step-by-step explanation:

Hope this helps :)

find the dimensions of the right circular cylinder of maximum volume that can be inscribed in a sphere of radius a

Answers

Answer:

d.

took the test

Step-by-step explanation

the distance between town A and town B is 123 km. Two buses begin their journey and move directly toward each other. From town A, the bus is moving at a speed of 45 km/hr and from town B, the bus is moving at a speed of 67 km/hr. Assuming the buses started at the same time, find how far is their meeting point from town A? ​

Answers

Answer:

Speed of slower bus = 50mph and

speed of faster bus = 60 mph

Step-by-step explanation:

Let speed of first bus be x mph

Then speed of second bus = x+10 mph.

Let A and B have a distance d.

Then given that faster bus reached in 3.5 hours.

i.e.  ... i

THe other bus was away from B by 1/6 times d.

Distance travelled by slower bus = 1-1/6 = 5d/6  

Time taken = 3.5 hours

i.e.  ... ii

Divide i by ii to eliminate d.

ie Speed of slower bus = 50mph and

speed of faster bus = 60 mph

Use ii equation

miles

If a = 8 and b = 36 calculate the value of a^(1/3) b^(-3/2)

Answers

Answer:

[tex]\frac{1}{108}[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^m}[/tex]

[tex]a^{\frac{1}{3} }[/tex] × [tex]b^{-\frac{3}{2} }[/tex] ← substitute a = 8 and b = 36

= [tex]8^{\frac{1}{3} }[/tex] × [tex]36^{-\frac{3}{2} }[/tex]

= [tex]\sqrt[3]{8}[/tex] × [tex]\frac{1}{36^{\frac{3}{2} } }[/tex]

= 2 × [tex]\frac{1}{(\sqrt{36})^3 }[/tex]

= 2 [tex]\frac{1}{6^3}[/tex]

= 2 × [tex]\frac{1}{216}[/tex]

= [tex]\frac{1}{108}[/tex]

Find: (4x2y3 + 2xy2 – 2y) – (–7x2y3 + 6xy2 – 2y)

Place the correct coefficients in the difference.

x2y3 +
xy2 +
y

Answers

Answer:

final answer: 58xy

Step-by-step explanation:

24xy + 4xy - 2y + 42xy - 12xy + 2y

(24xy + 4xy + 42xy - 2xy) + ( - 2y + 2y)

(24 + 4 + 42 - 12)x xy + ( - 2 + 2)xy

58xy + ( - 2 + 2)xy

58xy + 0y

58xy

Answer:

1st one is 11

2nd one is -4

3rd one is 0

Step-by-step explanation:

no need

you can trust me :)

Given the value of cosine,
Cos 0=1/5
Find the value of sine
Sin(0)=

Answers

Answer:

25896

Step-by-step explanation:

Yall i need help asap! please help​

Answers

Sorry, couldn't help in Q. 10

The question seems undefined or I haven't seen this question before.

Please help! It’s due today

Solve: 5|9 – 3x|– 7 = 38

Answers

Answer:

x = 0

Step-by-step explanation:

expess 756,000,000 in a scientific notation

Answers

Step-by-step explanation:

756000000 = 7.56×10⁸.

hope this helps you.

Answer:

7.56   x10^8

.......................................

4. What are the last TWO DIGITS of 2^2017

a Explain how you found the last 2 digits of 2^2017

b. Show how you found the last 2 digits of 2^2017

Answers

Compute 2²⁰¹⁷ modulo 100.

From the given table,

2²² ≡ 2⁴² ≡ 2⁶² ≡ 4 (mod 100)

and we have

2017 = 32 • 62 + 33

62 = 1 • 42 + 20

Then

2²⁰¹⁷ ≡ (2⁶²)³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ 4³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ (2²)³² • 2³³ (mod 100)

2²⁰¹⁷ ≡ 2⁶⁴ • 2³³ (mod 100)

2²⁰¹⁷ ≡ 2⁶² • 2²² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 4² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ (2²)² • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 2⁴ • 2¹³ (mod 100)

2²⁰¹⁷ ≡ 2¹⁷ (mod 100)

and from the table, we get

2²⁰¹⁷ ≡ 2¹⁷ ≡ 72 (mod 100)

If , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

don't give unwanted ans to get the points ~
stay away if u don't know the ans ( no spams and plagiarism )
well explained ans needed ~

Thanks !! ~ ​

Answers

question ;

if , a = x + 2y and b = x - 2y , find ( 2a + b ) - ( a - 2b ) , in terms of x and y .

answer with explanation ;

by substituting the value of a and b

2a + b

= 2 ( x + 2y ) + ( x - 2y ) = 2x + 4y + 1x - 2y = 2x + 1x + 4y - 2y = 3x + 2y

a - 2b

= ( x + 2y ) - 2 ( x - 2y ) = x + 2y - 2x + 4y = -1 + 6y

i hope my answer helps !!

Answer:

4x - 4y

Step-by-step explanation:

Simplify the expression:

( 2a + b ) - ( a - 2b ) =2a + b - a + 2b = a + 3b

Substitute values:

a + 3b = x + 2y + 3(x - 2y) = x + 2y + 3x - 6y = 4x - 4y

Help u guys plssss number 8

Answers

Answer:

27

Step-by-step explanation:

Note : -

That square like symbol at the intersection of two lines is 90°.

( 4x - 18 )° and 90° are corresponding angles.

Corresponding angles are equal since lines

a & b are parallel.

4x - 18 = 90

4x = 90 + 18

4x = 108

x = 108 / 4

x = 27

Hector watched
1
4
of a movie in the morning, and he watched some more at night. By the end of the day, he still had
2
3
of the movie left to watch. How much of the movie did Hector watch at night?

Answers

Answer:

how watched 3/4 of the movie

Step-by-step explanation:

I know this because 2 is more then half of 3 and 3 is more then half of 4 so you can come to a conclusion that he watched a total of 3/4 and 2/4 at night.

P.S when ever using a fraction when typing like 1/4 instead of doing

1

4

do 1/4

Determine the solution and the reasoning that justifies the solution to the systems of equations.
O (2,7), because this point is true for both equations
O (4, -6), because this point lies only on one of the two lines
(4, -6), because this point makes both equations true
O (2,7), because the lines intersect the x-axis at these points

Answers

Answer:

A or C

Step-by-step explanation:

The system is not given to give exact answer.

Possible solution is:

A. (2,7), because this point is true for both equations

Yes, same point lies on both lines, it is their intersection

B. (4, -6), because this point lies only on one of the two lines

No, this is not a solution to both equations

C. (4, -6), because this point makes both equations true

Yes, same point lies on both lines, it is their intersection

D. (2,7), because the lines intersect the x-axis at these points

No, this is not confirming any solution

answer and please show work.​

Answers

For the equation y=3x−5 , the slope is 3 and the y-intercept is −5 .

Slope is equal to the change in y over the change of x, or rise over run.m=change in y / change in x

The change in x
is equal to the difference in x-coordinates (also called run), and the change in y
is equal to the difference in y-coordinates (also called rise).
m= y2-y1/x2-x1.
Substitute in the values of x and y into the equation to find the slope.
m =-4 -(7)/ -6 -(-4)

Simplify.

m=11/2.

Identify the indicated sum for the geometric series.
S, for 3 - 6 + 12 – 24 + .....

Answers

Answer:

Here,

3

,

(

6

)

,

12

,

(

24

)

,

...

is the geometric sequn.

w

h

e

r

e

,

1

s

t

t

e

r

m

=

a

1

=

3

and

common ratio

r

=

6

3

=

12

6

=

24

12

=

2

and

S

9

=

?

n

=

9

We know that,

The sum of first n term of Geometric series is :

S

n

=

a

1

(

r

n

1

)

r

1

Putting ,

a

1

=

3

,

r

=

2

and

n

=

9

S

9

=

3

[

(

2

)

9

1

]

(

2

)

1

S

9

=

3

[

512

1

]

3

S

9

=

3

(

513

)

3

S

9

=

513

Step-by-step explanation:

Answer:

Step-by-step explanation:

c.r. r=-6/3=-2

[tex]S_{n}=3\frac{(-2)^n-1}{-2-1} =-(-2)^n+1\\let~n\rightarrow \infty\\then S_{\infty} \rightarrow \infty~or~ -\infty[/tex]

I will give BRAINLIEST please help

Answers

Answer:

-2.43 then -2 2/3 then 2.045 then 2 5/9 that is from least to greatest :) hope this helps

Step-by-step explanation:

i am positive :)

just to make sure you got it i put this in your comments too !

How many real solutions does the function shown on the graph have?

no real solutions

one real solution

two real solutions

cannot be determined

Answers

Answer:

you can find the answer in this link bit.3ckFc

Step-by-step explanation:

no real solution ig

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