A rectangle with vertices located at (1, 2), (1, 5), (3, 5), and (3, 2) is stretched horizontally by a factor of 3 with respect to the y-axis. What is the area of the image that is produced

Answers

Answer 1
Hello,

New area is 6*3=18
since only one dimension is streched by 3 the other is the same:
Area first=2*3=6
End area= (2*3)(3*1)=18

Answer 2

Answer:

18 square units

Step-by-step explanation:

Multiplying the x-value of each point by the scale factor gives the area.


Related Questions

At the school carnival, the sixth graders are making directional arrows, as shown below.


Each arrow is to be painted red. How much area needs to be painted for 1 arrow?

26 square inches
29 square inches
32 square inches
44 square inches

Answers

We can separate this into a rectangle and a triangle and then find the areas of these shapes separately. The triangle has a height of 9 - 5 = 4 inches, and a base of 6 inches. The rectangle will have a width of 4 inches and a length of 5 inches. Use the formulas to find the areas of these shapes and then combine them to find the area of the entire arrow:

Triangle:

[tex]\sf A=\dfrac{1}{2}bh[/tex]

[tex]\sf A=\dfrac{1}{2}(6)(4)[/tex]

[tex]\sf A=12~in^2[/tex]

Rectangle:

[tex]\sf A=lw[/tex]

[tex]\sf A=(5)(4)[/tex]

[tex]\sf A=20~in^2[/tex]

Now add the two areas together:

[tex]\sf 20+12=\boxed{\sf 32~in^2}[/tex]

So your answer is C.

Now that you have converted a terminating decimal number into a fraction, try converting a repeating decimal number into a fraction. Repeating decimal numbers are more difficult to convert into fractions. The first step is to assign the given decimal number to be equal to a variable, . For the decimal number , that means . If , what does 10x equal?

Answers

The first step is to assign the decimal number to a variable.

For the repeating fraction 0.111_1, this would look like
.. x = 0.111_1 . . . . . . . . . . where we use an underscore to identify the following digit(s) as repeating

The next step is to multiply that value by 10 to a power equal to the number of repeating digits. If there is one repeating digit (as here), then you want (10^1)x = 10x.
.. 10x = 1.111_1

The third step is to subtract x from this.
.. 10x -x = 1.111_1 -0.111_1 = 1
.. 9x = 1

And the final step is to divide by the coefficient of x.
.. x = 1/9 . . . . . . this is the value of the repeating decimal fraction.

_____
Here's one that's a little more complicated. It is done the same way.
.. x = 3.254545_45
.. 100x = 325.454545_45
.. 100x -x = 99x = 322.2
.. x = 322.2/99 = 3222/990 = 179/55

Answer:

0.3 repeating

Step-by-step explanation:

from edmentum

CAN ANYONE HELP ME WITH THIS PLSSSSSSSSSSSSSSS

Answers

13 is what i think
3 divided by 2= 1.5
1.5*9=13.5 and you can't score half a point so the answer is 13

I need this right to pass please helpp

Answers

the answer is b hope I could've helped

Help please I will be answering your questions too ;)

Answers

the answer is D. 8/3, because 3/10 times 8/3 is equal to 0.8. 4/5 equals to 0.8 also. so thats the right answer
it is d wasting space to pass 20 letters

what is the area in square centimeters of the trapezoid below the height is 6.4 and the base is 12.9 and 8.6

Answers

Hello!
----------
The area in square centimeters is 68.8.
----------
Have a great day!

Answer:

The area of given trapezoid is 68.8 cm²

Step-by-step explanation:

Given: A trapezoid with height 6.4 cm and parallel base is 12.9 cm and 8.6 cm.

We have to find the area of area of this trapezoid.

Area of trapezoid = [tex]\frac{1}{2}\times \text{sum of parallel sides}\times height[/tex]

Given : Height = 6.4 cm

and parallel base is 12.9 cm and 8.6 cm.

Substitute, we have,

Area of trapezoid = [tex]\frac{1}{2}\times (12.9+8.6)\times 6.4[/tex]

Simplify, we have,

Area of trapezoid = [tex]\frac{1}{2}\times 21.5\times 6.4[/tex]

Area of trapezoid = 68.8 cm²

Thus, The area of given trapezoid is 68.8 cm²

           

WARNING ITS TIMED PLEASSEEE HURRY! Each product represents a fraction of a circle that is shaded.

Drag the pictures to the table that match the products in each column.

Answers

multiply numerators (top numbers)
multiply denominators (bottom numbers)

first one:
(1/3)*(1/3) = 1/9

second one:
(1/4)*(1/2) = 1/8

third one:
(3/4)*(1/3) = 3/12 simplified = 1/4

drag correct circle to box. first circle is not a solution. it is extra

Answer:

1/9, 1/8 and 1/4

Step-by-step explanation:

multiply the both given numerators (top numbers) and both given denominators (bottom numbers) given bellow

1/3 x 1/3 = 1/9  because 1 x 1 = 1 and 3 x 3 = 9

1/4 x 1/2 = 1/8 because 1 x 1 = 1 and 4 x 2 = 8

3/4 x 1/3 = 3/12 or 1/4 simplified because 3 x 1 = 3 and 4 x 3 = 12. when you simplify you divide the denominator by the numerator and 12 divided by 3 is 4 and you the 4 stays as the denominator and make the numerator of 1

Bens mom wants to buy carpet for the family room the measures 12 feet by 11 feet she can purchase the carpet on sale for $6 how much will bens mom spend to carpet the family room

Answers

12 x 11 = 132 x 6= $792

In the sophomore class at Dixon high school the number of students taking French is 2/3 of the number taking Spanish. How many students are studying each language if the total number of students in French and Spanish is 310?

Answers

F=2/3 of S
F+S=310

2/3 S + S = 310

(2S + 3S)/3=310
S=[(310)(3)]/5
S=186 students taking Spanish

F=2/3 of 186
F=124 students taking French
Final answer:

To find the number of students studying each language, assign variables, write equations based on the given information, and solve the system of equations.

Explanation:

To solve this problem, let's assign variables. Let x represent the number of students taking Spanish, and y represent the number of students taking French.

According to the given information, the number of students taking French is 2/3 of the number taking Spanish. So, we can write this as an equation:
y = (2/3)x

The total number of students taking French and Spanish is 310. So, we can write another equation:
x + y = 310

Now, we can solve these two equations to find the values of x and y. Substituting the value of y from the first equation into the second equation, we get:
x + (2/3)x = 310
(5/3)x = 310
x = (3/5) * 310
x = 186

Substituting x = 186 back into the first equation, we find:
y = (2/3) * 186
y = 124

Therefore, there are 186 students taking Spanish and 124 students taking French.

Learn more about Algebra here:

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Vicki has 210 baseball cards and buys an additional 15 cards every week. Jeb has 275 baseball cards and buys an additional 10 cards every week. After how many weeks will Vicki and Jeb have the same number of baseball cards?

Answers

It will be after 13 weeks.

Answer:

After 13 weeks, Vicki and Jeb will have the same number of baseball cards.

Step-by-step explanation:

Let n be the required number of weeks after which Vicki and Jeb have the same number of baseball cards.

The number of cards Vicki will buy after n weeks = 210 + 15n

The number of cards Jeb will buy after n weeks = 275 + 10n

Since, these are equal,

210 + 15n = 275 + 10n

15n - 10n = 275 - 210

5n = 65

Divide both sides by 5.

n = 13.

Hence, after 13 weeks, Vicki and Jeb will have the same number of baseball cards.

What is the approximate circumference of a circle that has a diameter of 20 Centimeters

Answers

The circumference is 20 pi.
The approximate circumference is 62.83 

Using front end estimation find a reasonable estimate of: 719 · 26

Answers

Answer:

C

Step-by-step explanation:

what is 7.5% greater than 840.76

Answers

903.817, because .075*840.76=63.057 then you add that to the original 840.76 t get the final 903.817.
hi

( 7.5/100 × 840.76 ) + 840.76 =

63.057 + 840.76= 903.817

hope it helps

1.01<0.99 true,4.5=4.50 true, 3.5<3.39 true?, lastly is 1.51>1.15 true?

Answers

no, yes, no, yes

What part of comparing number values do you not understand? Most folks figure out enough about place value to be able to answer this by 3rd grade. If there's something about this question that really stumps you, please advise in the comments.

Fair Race UNIT NAME: FUNCTIONS
Directions: Follow the instructions below to design a fair race for the new video game Animal Tracks. 1. Choose two animals with different speeds. You can choose from the chart that starts at the bottom of this page or do research to choose your own. 2. Design a fair race in which the two animals have an equal chance of winning if they race at their top speed. Here are a few tips for your design: a. The race is fair if the two animals could finish the race in the same amount of time. b. You can give the slower animal a shorter distance to race. c. Since this is a video game, the race does not need to be realistic—it can be any length, and the animals can run at a constant speed. 3. Write a system of two linear equations showing the distance each animal can travel to model the fair race. Be sure to define all variables. 4. Graph the system to prove that the two animals have an equal chance of winning the race. Explain how the graph proves the race is fair. Your equations, graph, and explanation for your race design will be submitted as your portfolio assessment.

Animal Speed (mph) cheetah 70 lion 50 coyote 43 rabbit 35 kangaroo 30 squirrel 12 chicken 9 antelope 61 elk 45 ostrich 40 giraffe 32

Animal Speed (mph) elephant 25 pig 11 mouse 8

I need help wiith 3. Write a system of two linear equations showing the distance each animal can travel to model the fair race. Be sure to define all variables. I choose The mouse and squirrel ....can i get help on the equuations? Can someone explain it to me?

Answers

The linear equation for squirrel y = 12x.

The linear equation for mouse  y = 8x

The distance covered by the squirrel is 36km at time 3hours.

The distance covered by the squirrel is 24km at time 3hours.

What is linear equation?

A linear equation is an "algebraic equation is of the form y=mx + b where 'm' is the slope of the line and 'b' is the y - intercept".  

According to the question,

Animal            Mouse       Squirrel

Speed(mph)         8                12

"x" the time goes along with x-axis and "y" is  the distance covered by the animal.

The mouse time and distance would  plot the graph (1,8)(2,16)(3,24)....

The squirrel time and distance  would plot the graph (1,12)(2,24)(3,36)....

Let us consider the track is straight line and shorter distance is 50 meters.

Formula for straight line equation y = mx + b  where 'b' is the base value, 'x' is the time and 'y' is the distance.

The linear equation for squirrel y = 12x+b and the squirrel starts at 0 meters per hour. so the equation becomes y = 12x.

The linear equation for mouse  y = 8x + b  and the mouse starts at 0 meters.  so the equation becomes y = 8x.

Distance covered by the mouse and the squirrel at time x = 3 we can find the distance covered by mouse and the squirrel.

y =12x

y = 12(3)

y = 36.

The distance covered by the squirrel is 36km at time 3hours.

For mouse, at time x = 3 hours.

y = 8(3)

y=24.

The distance covered by the squirrel is 24km at time 3hours.

Hence, The linear equation for squirrel y = 12x.

The linear equation for mouse  y = 8x

The distance covered by the squirrel is 36km at time 3hours.

The distance covered by the squirrel is 24km at time 3hours.

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​Solve the systems of equations: ​ ​ ​​
​5x−2y−4=0 ​
3x+16y−54=0 ​​
What is x?
What is y?

Answers

(x,y)=(2,3)
This is Answer

Choose the fraction that goes in the blank 1/2< <4/5

Answers

Hey there! :D

1/2 is less than 2/3 and 2/3 is less than 4/5. 

2/3 is the fraction. 

I hope this helps!
~kaikers
You could put 3/5 in the blank

re are 5 short rows of chairs, each with an equal number of chairs. On a crowded day, the ushers added 2 chairs to each long row and 3 chairs to each short row.

Answers

I don't think u gave me the whole question

Find the unit rate. 6 2/5 revolutions in 2 2/3 seconds

Answers

The unit rate will be in revolutions per second. That means divide number of revolutions by number of seconds.

first convert from mixed fraction.
6 2/5 = 32/5 revolutions
2 2/3 = 8/3 seconds

32/5 ÷ 8/3
flip multiply
32/5 × 3/8 = 12/5 revolutions per second

12/5 = 2 2/5 revolutions per second


-3x+2(4x-8)-16
Help me solve this

Answers

Answer: 3x - 32

-3x + 2(3x - 8) - 16                 Distributive Property
-3x + 6x - 16 - 16                    Combine like terms
3x - 16 - 16                             Simplify
3x - 32                                   Answer!
 the anwser is 3x+2(4x-8)-16  i hope this helps


At silver Gym, membership is $45 per month, and personal training sessions are $25 each. At fit factor, membership is $75 per month, and personal training sessions are $15 each. In one month, how many personal training sessions would Sarah have to buy to make the total cost at the two gyms equal?

Answers

Final answer:

By setting up and solving an equation based on the monthly membership and per-session training costs at both Silver Gym and Fit Factor, it's determined that Sarah would need to buy 3 personal training sessions for the total cost at the two gyms to be equal.

Explanation:

To find how many personal training sessions Sarah would have to buy to make the total cost at Silver Gym and Fit Factor equal, we'll set up an equation. Let x be the number of personal training sessions.

At Silver Gym, the total cost is $45 (membership) + $25x (personal training sessions).

At Fit Factor, the total cost is $75 (membership) + $15x (personal training sessions).

Setting these two expressions equal to each other gives us the equation:
45 + 25x = 75 + 15x.

To solve for x, first subtract 15x from both sides, giving: 10x = 30. Then divide both sides by 10 to isolate x, resulting in x = 3.

Therefore, Sarah would have to buy 3 personal training sessions in one month for the total costs at both gyms to be equal.

Answer:

  3 sessions

Step-by-step explanation:

You want to know the number of personal training sessions Sarah would have to buy to make the total costs the same at Silver Gym and Fit Factor. Silver Gym costs $45 per month and $25 per session, while Fit Factor costs $75 per month and $15 per session.

Differences

Silver Gym costs $25 -15 = $10 more per personal training session, but $75 -45 = $30 less for the monthly fee. This means it takes $30/$10 = 3 sessions for the difference in fees to be made up by the difference in session costs.

Sarah would have to buy 3 sessions for the total cost to be the same.

Equations

If you need to see this using equations, we can write the cost equations as ...

  S = 45 +25x . . . . . . . . cost for x sessions at Silver Gym

  F = 75 +15x . . . . . . . . . cost for x sessions at Fit Factor

Setting these equal, we have ...

  S = F

  45 +25x = 75 +15x

  25x -15x = 75 -45 . . . . . . . subtract 45+15x from both sides

  10x = 30

  x = 30/10 = 3 . . . . sessions for equal cost

Sarah would have to buy 3 sessions for the total cost to be the same.

__

Additional comment

These "break even" problems usually have a higher fixed cost associated with a lower per use cost, and vice versa. The costs are the same when the number of uses, multiplied by the difference in use cost, comes to the same amount as the difference in fixed costs. Here, the $10 difference in session cost, times 3 sessions, is equal to the $30 difference in monthly membership fee.

shane works at an electronics store. He earns 13% commission on his sales. Shane's commission this month is $780. What are his total sales for the month

Answers

anytime you need to find the percentage of something, you multiply the total by the percentage. In this case, the total is 780, and the percentage is 13. You would then multiply 780 by .13 (dont forget the decimal) which should give you 101.4. Hope this helps! Have a good day!

Answer:

Shane's total sales is $6000.

Step-by-step explanation:

It is given that the Shane earns 13% commission on his sales and the Shane's commission this month is $780.

Let the Shane's total sales be x. So, 13% of x is $780.

[tex]x\times \frac{13}{100}=780[/tex]

Solve the above equation to find the value of x.

[tex]x=780\times \frac{100}{13}[/tex]

[tex]x=6000[/tex]

The value of x is 6000, therefore Shane's total sales is $6000.

Jade is painting a rectangular wall. The wall is 414 yards long and 223 yards high. The formula for the area of a rectangle is A=bh. What is the area of the wall? Enter your answer as a mixed number in simplest form in the box. $$ yd2

Answers

414*223=92,322 yards² is your Answer

Answer:

Its actually 11  1/3

Step-by-step explanation:


A sporting goods store sells right-handed baseball gloves and left handed baseball gloves. In 1 month 12 gloves were sold for a total revenue of $561. Right-handed gloves cost $45 and left-handed gloves cost $52. How many of each type of gloves did they sell?

Answers

x = number of right-handed gloves
12 - x = number of left-handed gloves

45x + 52 (12 - x) = 561
distribute
45x + 624 - 52x = 561
combine like terms
-7x + 624 = 561
subtract 624 from both sides
-7x = -63
divide both sides by -7
x = 9 (amount of right handed gloves)

12 - 9 = 3 (amount of left handed gloves)

They sold 3 left handed gloves and 9 right handed gloves.

To solve this problem, we have to write a system of equations.

Data given;

total number of gloves = 12revenue for 12 gloves = $561right handed gloves  (x) = 45left handed gloves (y) = 52

Equations

[tex]x + y = 12...equation (i)\\ 45x + 52y = 561 equation (ii)[/tex]

From equation (i)

[tex]x + y = 12\\ x = 12 - y...equation (iii)[/tex]

Substitute equation (iii) into equation (ii)

[tex]45x + 52y = 561\\ x = 12 - y\\ 45(12- y) + 52y = 561\\ 540 - 45y +52y = 561\\ 540 + 7y = 561\\ 7y = 21\\ y = 3[/tex]

Put y = 3 in equation (i)

[tex]x + y = 12\\ x + 3 = 12\\ x = 9[/tex]

From the calculations above, they sold 9 right handed gloves and 3 left handed gloves

Learn more on system of equations here;

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A nickel and a dime are flipped. What is the probability both coins will land tails up

Answers

33.33%
heads tails
2 heads
2 trails
Two possibilities but you have a four out of four chance because you have two items and times it by two because you have two possibilities of it either landing on heads or tails at the same time.

multiply the number of legs on a snake by the number of hours in day .What's the product

Answers

 snakes have no legs and a day has 24 hours so its 0 times
  24 so the answer is 0
0. A snake has no legs and any number multiplied by 0 equals 0. So 24 x 0 = 0

What is the gcf of 18 and 14

Answers

The GCF of 18 and 14 is 2
 Hope this helped you :)

∠2 and ∠3 form a linear pair. ∠3 and ∠1 are vertical angles. m∠1= 62 ∘ . What is m∠3?

Answers

m<3 is he sam as 123
For this problem, we do not need the first portion of the given information, so forget it for now. All we need to know is that 3 and 1 are vertical angles. Verticle angles are equal.
1=62
3 = 1
3 = 62
The measure of angle 3 is 62 degrees

Hope this helps =)

Show three ways to make $20 .Use tally marks to record the bills.

Answers

4- $5 bills
20- $1 bills
2- $10 bills
Hope this helped!

If x < 5 and x > c, give a value of c such that there are no solutions to the compound inequality. Explain why there are no solutions

Answers

The value of c could be 5 or any number greater than 5. 

The solution is the intersection of both solution sets of the given inequalities. 

The solutions of the compound inequality must be solutions of both inequalities. 

A number cannot be both less than 5 and greater than 5 at the same time.

Final answer:

To ensure there are no solutions to the compound inequality x < 5 and x > c, we can choose c to be 5 or larger, such as c = 6, making the inequality impossible.

Explanation:

To determine a value of c such that the compound inequality x < 5 and x > c has no solutions, we need to choose a value of c that makes the inequality impossible to satisfy.

One way to ensure there are no solutions is to choose c so that it is greater than or equal to 5.

If c is 5 or any number larger than 5, then there is no real number x that can be both greater than c and at the same time less than 5.

For example, if we choose c = 6, then the set of values greater than 6 (x > 6) does not intersect with the set of values less than 5 (x < 5).

Therefore, c = 6 would ensure that there are no solutions to the compound inequality.

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