Josephine enlarged a picture using a photocopier the original photo was 3.5 inches by 5 inches the copy was 8.5 by 12.5 inches . What is the scale factor of the dilation?

Answers

Answer 1

Answer:

the answer is 1 : 2.4 because for every 1 inch on the original image there are 2.4 inches on the modified image.

Step-by-step explanation:

Step 1:

Measure the change in X and Y of a single length of the original image.

X1 = 3.5

Y1 = 5

Step 2:

Measure the change in X and Y of the same length on the modified image.

X2 = 8.5

Y2 = 12.5

Step 3:

use formula SF = X2/X1 = Y2/Y1

(SF = Scale Factor Dilation)

(X2 and Y2 = change in X and Y of the same length on the modified image.)

(X1 and Y1 = change in X and Y of a single length of the original image.)

X2 = 8.5

8.5/X1

X1 = 3.5

8.5/3.5

8.5/3.5 = 2.4

2.4

1 : 2.4


Related Questions

|x-2| > square root (x)

Answers

Answer:

x = 0

Step-by-step explanation:

I. When x cant be negative value and

II. Find possible positive value

       If x = 0

           |0-2| > [tex]\sqrt{0}[/tex]

           |-2| > 0

           2 > 0 true

       

      If x = 1

           |1 - 2| > [tex]\sqrt{1}[/tex]

           | -1 | > 1

          1 > 1 false

More question or something to discuss, leave comment below

Answer:

Step-by-step explanation:

x ≥ 0 (because the square root)

[tex]|x-2| > \sqrt{x}\\\\1)\ if \ x-2 >0 \ (\ or\ x > 2):\\|x-2|=x-2\\\\x-2 > \sqrt(x) \Longrightarrow\ (x-2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x >4 \ (since\ x>2)\\\\[/tex]

[tex]2)\ if\ x-2 <0 \ (\ or\ x < 2):\\|x-2|=-(x-2)=-x+2\\\\-x+2 > \sqrt(x) \Longrightarrow\ (-x+2)^2 > x\\\Longrightarrow\ x^2-4x+4 > x\\\Longrightarrow\ x^2-5x+4 > 0\\\Longrightarrow\ (x-1)(x-4) > 0\\\Longrightarrow\ x<1\ or\ x>4 \Longrightarrow\ x\geq 0\ and \ x\leq 1 \\[/tex]

Sol= [0, 1] ∪ ]4,+∞) ***** corrected

write the equation of the line in fully simplified slope-intercept form.​

Answers

Answer:

slope intercept form: y=mx+c

Step-by-step explanation:

By using two points form:

y-0/3-0=x-1/2 /0-3

y/3=x-1/2 /3

y=x-1/2

Note:if you need to know any question please let me know.

help me again Scooby do
I got more Scooby snac just for you, Imao​

Answers

MATHEMATICS // ANSWER

The correct answer is letter B. V = 141.3cm³

Here's the Solution:

V = π r²hV = (3.14) (3cm)² (5cm)V = (3.14) (9cm²) (5cm)V = (3.24) (45cm³)V = 141.3cm³

HOPE THIS HELPS. GOODLUCK:)

(15-12)2-2+5=

20+23×3-1=

[4(3+2)-4]+42

Answers

Answer:

Here is your answer . Hope this is helpful to you.

find the domain of f(x) = 3x + 5

Answers

Answer:

All real numbers

Step-by-step explanation:

All real numbers: f(x) is defined for all values of x. There are no discontinuities or places where f(x) is undefined. f(x) is just a straight line going to infinity.

Answer:

(-infinity, infinity), or all real numbers

Step-by-step explanation:

If you were to look at it graphically, it would be a linear function with a slope of 3 and shifted up 5 units. (i attached a screenshot of what the graph would look like at the bottom :)

since there are no domain restrictions, you're not really going to have any issues or gaps which is when you might need to do something like

(-infinity,4] u(5,inifinity) --> since this isn't the case though, you're totally free to just write all real numbers, because all real numbers in the x-plane (as that is what domain looks at) are included.

When all else fails, (at least for homework), desmos is great for graphing and looking at everything visually

Hope that helps! lmk if you have any questions :)

h(1) = 9
h(2) = 3
h(n)=h (n−2) ⋅ h(n−1)
​h(3)

Answers

Answer:

27

Step-by-step explanation:

h(n)=h (n−2) ⋅ h(n−1)

h(3)=h (3−2) ⋅ h(3−1)

h(3)=h (1) ⋅ h(2)

h(3)=9 ⋅ 3

h(3)=27

Answer:

27

Step-by-step explanation:

khan

if p(x) = 6x³ + 5x² + 7x - 5, find the coefficient of x³​

Answers

Answer:

6x

Step-by-step explanation:

because in front of x^3 there is 6x and also the qn has asked to find the coefficient of x^3

Answer:

It is 6

Step-by-step explanation:

take an example:

[tex]a {x}^{3} + {bx}^{2} + cx + d[/tex]

a, b, and c are coefficients of x³, x², and x respectively.

d is a constant.

What is the area of a circle whose radius is r?
What is the area of a circle whose diameter is 2x cm?


Answers

Answer:

Area of circle = πr^2

Area of circle when diameter is 2x; r=x

=πx^2

what is 3 ÷ 2/5??? pls help

Answers

Answer:

7.5

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

3/2/5=3/2×5. a/b/c=a/b×c

1.5×5=7.5

Given the functions f(x)=3x−2and h(x)=x−10. Find (g⋅h)(x)and simplify completely.

Answers

Answer:

(g.h) (x) = 3x² -32x+20

Step-by-step explanation:

g(x)=3x−2

h(x)=x−10

(g . h)(x) = (3x-2) (x-10)

= 3x²-30x-2x+20

= 3x² -32x+20

= 3x² - 32x + 20

Find the area of the shaded region.

Answers

I’ve attached my work…
Hope it helps!

Complete the square: x^2-8x+21=6

Please show work

Answers

Answer:

x=5 and 3

Step-by-step explanation:

x^2-8x+21=6

x^2-8x+21+16=6+16

(x-4)^2=1

(x-4)=±1, x=5 and 3

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

Find the value of x.

Answers

X+58+43 =90

X= - 11

Kdjdjsjwnwjdhnsjjdd

Answer: -11

Step-by-step explanation: one of the angle is 90 another one is 43, and all 3 will be 180; so 90+43+?=180,

133+x+58=180,

191+x=180,

-191 to both side,

x=-11

Which expression is equivalent to (2 + 6i)(5 + 2i)?
A 22 + 34i
B -2 - 34i
C -2 + 34i
D -2 + 26i

Answers

Answer:

c. -2 + 34i

Step-by-step explanation:

(2 + 6i)(5 + 2i)

c. -2 + 34i

12. The cost of carpeting I square meter of a floor is Rs.500. find the cost of carpeting 12 square meters of floor​

Answers

Answer: 6000

Step-by-step explanation:

1 square meter = Rs.500

500x12

= 6000

12 square meters = Rs.6000

Type your answers into the boxes.
The ratio of men to women in a gym is 7 : 5
What fraction of the gym members are women?

Answers

Answer:

[tex] \frac{5}{12} [/tex]

Step-by-step explanation:

[tex] \frac{5}{7 + 5} [/tex]

I'm not sure about the answer. Sorry if it's wrong.

At Jeremy's school, the final grade for his Human Biology course is weighted as follows:

Tests: 50%
Quizzes: 35%
Homework: 15%
Jeremy has an average of 94% on his tests, 78% on his quizzes, and 62% on his homework.

What is Jeremy's weighted average?


83.6%


78%


74.8%


75.6%

Answers

Answer:

78%

Step-by-step explanation:

.94 + .78 + .62 = 2.34

2.34/3 = .78

.78 = 78%

Jeremy's weighted average is 83.6%

The grades and the weights of the grades can be represented using the following table

Subject     Final Grade   Average

Test              50%              94%

Quiz             35%               78%

Homework   15%               62%

The weighted average (w) is the sum of the product of the final grades and the average.

So, we have:

[tex]w = \sum Final\ Grade \times Avearge[/tex]

This gives

[tex]w = 50\% \times 94\% + 35\% \times 78\% + 15\% \times 62\%[/tex]

Evaluate the products

[tex]w = 47\% + 27.3\% + 9.3\%[/tex]

Evaluate the sums

[tex]w = 83.6\%[/tex]

Hence, the weighted average is 83.6%

Read more about weighted average at:

https://brainly.com/question/11408596

help
help
help
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Answers

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

[tex]x+5-5=2-5[/tex]

[tex]x=-3[/tex]

III. Direction: Solve and check. show your complete Solution.

1)

x+5 = 2

x = 2 - 5

x = -3

checking

x+5 = 2

-3 + 5 = 2

2 = 2

I hope this helps. Goodluck :)

please help me to do this question ​

Answers

Answer:

firdt method is

Length x breath

is equal to ½

a basket contains 3 green 4 yellow 5 blue and 6 red tickets one of which is randomly selected probability of drawing a green or a red ticket

Answers

Answer: 21

Step-by-step explanation:

Build a function whose domain is all real numbers other than -4, and whose range is all real numbers other than 5.

Answers

Answer:

An example is the rational function [tex]y=\frac{5x}{x+4}[/tex].

Step-by-step explanation:

The graph of the rational function [tex]y=\frac{5x}{x+4}[/tex] has a vertical asymptote at x = -4 where the denominator is equal to zero.  The function is undefined there, so the domain is all real numbers except -4.

The graph has a horizontal asymptote  y = 5  so the domain is all real numbers except 5.

See the attached image for the graph of the function (purple) and it's vertical asymptote (black).

Solve the inequality for x 17>5-4/3 x

Answers

Answer:

[tex]17 > 5 - \frac{4}{3} x \\ 17 - 5 > - \frac{4}{3} x \\ 12 > - \frac{4}{3}x \\ \frac{3 \times 12}{4} > - x \\ 9 > - x \\ multily \: by - 1then \: > \: become \: < \\ - 9 < x \\ thank \: you[/tex]

42.3952 to the nearest thousandths

Answers

Answer:

42.395

Step-by-step explanation:

The thousandths place is the 3 number to the ride of the decimal. We will need to look at the 4th decimal place to round. Remember these rules when rounding:

5 and above round up4 and below round down

Now that we know what to do, we can round accordingly.

42.3952 → 42.395

Best of Luck!

I don’t know how to divide the fraction

Answers

Step-by-step explanation:

1 7/8 ÷ 3/4 = 15/8 ÷ 3/4

= 15/8 × 4/3

= 45/24 × 32/24

= 1440/24

= 60

Answer:

-2.5 or 5/2

Step-by-step explanation:

-1 ⅞ ÷¾

=-15/8×4/3

=-60/24= -5/2 or -2.5

Pick a bin from each row. Subtract to find how many more bottles are in the bin from the top row than the bin from the bottom row
Bin A 15 bin B 12 bin C 13
Bin D 9 binE 7 bin F 8
How do you solve this problem

Answers

Answer:

Step-by-step explanation:

The number of Bins in the first row is 16 higher than in the second row.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given first and second rows are:-

Bin A 15 bin B 12 bin C 13

Bin D 9 binE 7 bin F 8

The total number of the bins first row = Bin A + bin B + bin C

The total number of the bins first row = 15 + 12 + 13 = 40

The total number of the bins in the second row = Bin D + Bin E + Bin F

The total number of bins in the second row = 9 + 7 + 8 = 24

Therefore, the number of Bins in the first row is 16 higher than in the second row.

To know more about an expression follow

https://brainly.com/question/878985

#SPJ2

simplify y + 5 - y - 6​

Answers

Answer:

-1

Step-by-step explanation:

Subtract the numbers: y+5-y-6

Combine like terms: y-1-y

= -1

Cuvantul vesel e un a) adjectiv b) substantiv ??

Answers

Cuvantul vesel e un

a) adjectiv

b) substantiv ??

Answer:-[tex] \bold \red{adjectiv}[/tex]

[tex]\huge\mathbb\color{black}{ANSWER}[/tex]

A.) Adjective

━═━═━═━═━═━═━═━━═━═━━═━═━━═━═━═━

A=1/2bh solve for b then h

Answers

Answer:

There is no right or wrong answer

Step-by-step explanation:

You did not give enough information, this formula usually comes with a triangle that you want to solve, therefore no one can answer this correctly since there is nothing to solve.

The question is asking your to restate b in terms of A and h.

A = 1/2 bh

divide by 1/2
2A = bh

divide by h
2A/h = b

What is the perimeter (in feet and inches) of a rectangle that has a length of 12'7" and a height of 11'3"?

Answers

Answer:

p=2l+2w

=2*12'7"+2*11'3"

write the least 6 digit number which is exactly divisible by 83​

Answers

So, 100015 is the least 6-digit number exactly divisible by 83.

Answer:

100015

Step-by-step explanation:

it to a little to find it but it is true. I started at 100000 and went up by 1 until I found my answer.

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