Mathematics High School

Identify the scale factor used to graph the image below

Answers

Answer 1

Answer:

[tex]Scale = \frac{2}{3}[/tex]

Step-by-step explanation:

To solve this question, I'll use the coordinates of SV and S'V' as points of reference.

From the attachment:

[tex]S = (3,6)[/tex]

[tex]V = (15,3)[/tex]

[tex]S' = (2,4)[/tex]

[tex]V' = (10,2)[/tex]

First, calculate distance SV

Distance formula is:

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

For SV:

[tex]d_1 = \sqrt{(15 - 3)^2 + (3 - 6)^2}[/tex]

[tex]d_1 = \sqrt{(12)^2 + (-3)^2}[/tex]

[tex]d_1 = \sqrt{144 + 9}[/tex]

[tex]d_1 = \sqrt{153}[/tex]

For S'V'

[tex]d_2 = \sqrt{(10 - 2)^2 + (2 - 4)^2}[/tex]

[tex]d_2 = \sqrt{64 + 4}[/tex]

[tex]d_2 = \sqrt{68}[/tex]

The scale factor is then calculated using:

[tex]Scale = \frac{S'V'}{SV}[/tex]

[tex]Scale = \frac{d_2}{d_1}[/tex]

Substitute values of d1 and d2

[tex]Scale = \frac{\sqrt{68}}{\sqrt{153}}[/tex]

[tex]Scale = \sqrt{\frac{68}{153}}[/tex]

[tex]Scale = \sqrt{\frac{1}{2.25}}[/tex]

[tex]Scale = \frac{1}{1.5}[/tex]

Express as a proper fraction

[tex]Scale = \frac{1*2}{1.5*2}[/tex]

[tex]Scale = \frac{2}{3}[/tex]

Related Questions

The planet mercury makes its circuit around the sun in 88 days. Venus takes 225 days to complete it's circuit. Venus's travel time is what percent of Mercury's travel time?

Answers

Answer:

255.682%

Step-by-step explanation:

From the above question:

The planet mercury makes its circuit around the sun in 88 days.

Venus takes 225 days to complete it's circuit.

Venus's travel time is what percent of Mercury's travel time?

This is calculated as:

(Number of days Mercury take to complete it's circuit/Number of days Venus takes to complete it's circuit) × 100

= 225/88 × 100

= 2.5568181818181817 × 100

= 255.68181818%

Approximately = 255.682%

Venus's travel time is 255.682 percent of Mercury's travel time

Then after match the expression with the answer

Answers

Answer:

1. d

2. c

3. b

4. a

Step-by-step explanation: use PEMDAS to solve

1.5+[tex]2^{2}[/tex]-3(6)/35+4-18/39-18/39-63______________________________________2.-([tex]3^{2}[/tex]-12)+4/2-(9-12)+4/2-9+12+4/2-9+12+23+25------------------------------------------------------------------------3.7 * [tex]2^{2}[/tex]/4+127 * 4/4+1228/4+127+1219------------------------------------------------------------------------4.[tex]6^{2}[/tex]+4-336+4-340-337

URGENT!!! PLEASE HELP!! two cars leave at the same time from two cities that are 374 miles apart and travel towards each other. Car 1 travels 50 mph and Car 2 travels 60mph. How long do they travel before they meet?

Answers

Answer:

3 hours and 40 minutes I think

Step-by-step explanation:

Answer:

3 hours and 40 mins

Step-by-step explanation

First, you check 3 hours times 50 miles and 3 hours times 60 miles to get how close they are. 3x50=150, and 3x60=180. 150+180=330. Then you multiply 4/6 or 2/3 by 5 and 6 then add them (because 40 mins is 2/3 of an hour) 50x2/3/2=100/3 and 60x2/3=120/3=40. 40+50/3=73 1/3. 73 1/3+330= 3 hours and 40 mins.

Please help please please

Answers

Next, we will multiply one equation by 3 and the other by -1 for both to match with the other.

-1(-12y + 15 = 3x )

3(-4y + 5 = x)

The new equations would be :

12y - 15 = -3x

-12y + 15 = 3x

Add the equations and you get

0 = 0

The equation has an infinite amount of solutions

Hello I’m davine and I have a question
some of you might even know me from tïktök though

Answers

Answer:

C. 8

the answer is eight or C whatever

Gravitational potential energy and kinetic energy make up what type of energy?

A. mechanical
B. chemical
C. electrical
D. sound

Answers

Answer:

Step-by-step explanation:

i hope this is right

0.625 divided by 0.56

Answers

Answer:

1.116071429

Step-by-step explanation:

This is an irrational number, but if you round it, it should be about 1 or 1.12. You can put this in the calculator btw :)

A grocery store sells a bag of 8 oranges for $6.24. If Chase spent $8.58 on oranges, how many did he buy?

Answers

Answer:

10 oranges

Answer:

Jessie runs 2 lap

Step-by-step explanation:

Given:

1 lap = 1 miles

Jessie runs = 2 miles

Find:

Number of lap Jessie runs

Computation:

Given that; 1 lap = 1 miles

So,

1 miles = 1 lap

And

2 miles = 2 lap

So,

Jessie runs 2 lap

Solve the system of equations.

Answers

Answer:

x = -2y

Step-by-step explanation:

Step 1. x + 2y = 0

Step 2. x + 0 = -2y

Step 3. x = -2y

I will give brainliest to who ever answers first

Answers

Answer:

Y= x times -2

Step-by-step explanation:

it just is, look at the others online

Answer:

y=-2x

Step-by-step explanation:

Alexandra worked 5 hours on Monday, 4.5 hours on Tuesday, and 2.5 hours on Wednesday. Which is closest to the mean number of hours she worked over the three-day period?

Answers

5 + 4.5 + 2.5 = 12 ÷ 3 = 4

how I know mean is when you add each together then divide it by how many things you added together so we added 3 things together so just divide your answer by 3.

Kristen bought a 14 ounce bottle of catshup for 91 cents. At the same rate, how much would a 20-ounce bottle cost?

Answers

Answer:

$1.30 or 130 cents

Step-by-step explanation:

You divide 91 by 14 to get the amount per ounce and you would get 6.5. Then you multiply that by 20 to get the new amount which is 130, or $1.30.

Chau made $252 for 18 hours of work. At the same rate, how much would he make for 9 hours of work?

Answers

Answer:

$126

Step-by-step explanation:

$252/$18=$14 dollars per hour.

now take 14*9 and you get $126.

Answer:

$126

Step-by-step explanation:

Okay, so to solve this question, we need to get from 18 (hours) to 9. To do this, we obviously divide 18 by 2. Since we did this, we now have to do the same thing with the other side ($252.) 252 divided by 2 is 126. This means that if Chau made $252 in 18 hours, he will make $126 in 9 hours.

Have a nice day! :)

What is sin 60°?
O A. /
O B. v3
2
O c.
OD. TO
O E. 13
O F. 1

Answers

Answer:

Sqaure root of 3 divided by 2

Step-by-step explanation:

The value of function sin 60° is √3/2.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We need to find the value of sin 60°

Sin 60 degrees is nothing but sin π/3

The sine function we obtain by dividing the opposite side by hypotenuse.

sin theta = Opposite side/ hypotenuse

sin 60=√3/2

The value of sin 60 degrees is square root of three by two.

Hence, the value of function sin 60° is √3/2.

To learn more on trigonometry click:

https://brainly.com/question/25122835

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Is the following equation linear or nonlinear??

Answers

It is nonlinear because it has exponents. Your welcome

3) In the Pacific Ocean, a seal was swimming 110 feet below sea level. As he was searching for food, he dove
down another 48 feet. What was the seal's final elevation relative to sea level?
eo
ther
110 €

Answers

Answer:

158 feet below sea level

Step-by-step explanation:

110 + 48 = 158

So 158 was the seal's final depth below sea level

In a basketball game, Patrick scores twice as
many points as John. John scores four points
fewer than Charles, and Charles scores three
times as many points as Anthony. If Anthony
scores 5 points, how many points did Patrick
score? Explain your reasoning.

Answers

Answer:

Step-by-step explanation:

Answer:

He scored 22 points.

Step-by-step explanation:

Anthony scored 5 points. Chareles scored 3 times as much and thats 15. minus 4 is 11. 11 times 2 is 22!

please help me answer this question its urgent

Answers

Answer:

Step-by-step explanation:

1). [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+2\frac{2}{9}n[/tex]

= [tex]\frac{2}{3}n-\frac{3}{4}n+\frac{1}{6}n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{2}{3}-\frac{3}{4}+\frac{1}{6})n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{8}{12}-\frac{9}{12}+\frac{2}{12})n+(2+\frac{2}{9})n[/tex]

= [tex]\frac{(8-9+2)}{12}n+(2+\frac{2}{9})n[/tex]

= [tex]\frac{1}{12}n+(2+\frac{2}{9})n[/tex]

= [tex](\frac{1}{12}+2+\frac{2}{9})n[/tex]

= [tex](\frac{3}{36}+\frac{72}{36}+\frac{8}{36})n[/tex]

= [tex]\frac{83}{36}n[/tex]

= [tex]2\frac{11}{36}n[/tex]

2). [tex]\frac{2}{5}g-\frac{1}{6}-g+\frac{3}{10}g-\frac{4}{5}[/tex]

= [tex](\frac{2}{5}-1+\frac{3}{10})g-(\frac{1}{6}+\frac{4}{5})[/tex]

= [tex](\frac{4}{10}-\frac{10}{10}+\frac{3}{10})g-(\frac{5}{30}+ \frac{24}{30})[/tex]

= [tex](\frac{4-10+3}{10})g-(\frac{5+24}{30})[/tex]

= [tex]\frac{-3}{10}g-\frac{29}{30}[/tex]

= [tex]-\frac{3}{10}g-\frac{29}{30}[/tex]

3). [tex]i+6i-\frac{3}{7}i+\frac{1}{3}h+\frac{1}{2}i-h+\frac{1}{4}h[/tex]

= [tex]7i-\frac{3}{7}i+\frac{1}{2}i+\frac{1}{3}h-h+\frac{1}{4}h[/tex]

= [tex](7-\frac{3}{7}+\frac{1}{2})i+(\frac{1}{3}-1+\frac{1}{4})h[/tex]

= [tex](\frac{98}{14} -\frac{6}{14}+\frac{7}{14})i+(\frac{4}{12}-\frac{12}{12}+\frac{3}{12})h[/tex]

= [tex](\frac{98-6+7}{14})i+(\frac{4-12+3}{12})h[/tex]

= [tex]\frac{99}{14}i-\frac{5}{12}h[/tex]

Solve the literal equation for y.
2x – xy = 3

Answers

Answer:

Step-by-step explanation:

2x-xy=3

-xy=3-2x

y=3-2x/x

Answer:

[tex]y = - \frac{3}{ x} + 2[/tex]

Step-by-step explanation:

So we want y to be on a side by itself.

2x-xy=3

Subtract 2x from each side

-xy=3-2x

divide each side by -x

[tex]y = \frac{3}{ - x} + 2[/tex]

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

A number went into this machine and 57 came out.
What number went in?

Answers

Answer:

47.5

Step-by-step explanation:

47.5=100%

57=120%

The input value is 47.5 when the output is 57.

What is division?

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

When the output is 120%, the input is 100%.

And the output is 1.2 times the input.

So, we have the output 57.

To find the input number:

Use division process,

The required number = 57 /1.2

The required number = 47.5.

Therefore, the number is 47.5.

To learn more about the division;

https://brainly.com/question/13263114

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