triangle abc has an area of 6 and a perimeter of 12. if the triangle is dilated by a scale factor of 3 centered at the origin, what is the area and perimeter of its image, triangle a'b'c'?

Answers

Answer 1

Answer:

perimeter: 36 unitsarea: 54 square units

Step-by-step explanation:

The perimeter is multiplied by the scale factor:

  image perimeter = 3 × original perimeter = 3×12 = 36 units

The area is multiplied by the square of the scale factor:

  image area = 3² × original area = 9×6 = 54 square units


Related Questions

Please help! IXL math problem

Answers

Answer:

224, 755

Step-by-step explanation:

you first have to find the differnce between 177 and 47 which equals to 133.

so you have to do 94+133

and 885-133

At 11:00 A.M. the temperature was 37 °F. At 11:00 P.M. the temperature was -6 °F.
What was the change in temperature between 11:00 A.M. and 11:00 P.M.?

Answers

Answer:

The temperature decreased by 43 degrees

-43

Step-by-step explanation:

Difference means subtraction

37 - (-6) = -43

I hope this helps!

how do you solve this inequality
[tex] \frac{2x - 3}{5} - \frac{x}{3} \leqslant 2[/tex]

Answers

[tex]\dfrac{2x -3}{5} - \dfrac x3 \leq 2\\\\\implies \dfrac{6x-9-5x}{15} \leq 2\\\\\implies x-9 \leq 15 \times 2\\\\\implies x -9 \leq 30\\\\\implies x \leq 30 +9 \\\\\implies x \leq 39\\\\\text{Interval,}~ (-\infty, 39 ][/tex]

Answer:

x

Step-by-step explanation:

Refer to '<' as ' less than or equal to '

Whenever you are deal with these types of inequalities / equations, nake sure to equate the denominators of both entities involved in the operation be it ( -, × , ÷ ,+ )

with that in mind

* 2x - 3/5 - x/3 < 2 has 2 different denominators i.e - 5 & 3

so to equate both sides, let's multiply each by the denominator they are lacking.

* 2x - 3/5 lacks 3 compared to -x/3.

* similarly, -x/3 lacks 5 compared to 2x - 3/5

multiply both by what they lack (2)

thus, (2x - 3 )×3 /(5) × 3 - (x × 5) × 5/ (3) × 5 < 2

* 6x - 9/ 15 - 5x/15 < 2

we can now combine the numerators since we now have a common denominator which is 15.

* 6x - 9 - 5x/ 15 < 2 (6x-9-5x) is equal to -9 + x = x - 9.

criss cross

* x - 9 < 30

* x < 39

ASAP
Jeremy is solving this system of equations algebraically. Which equation could be a step in his work?
y = 3x + 1
4x - 3y = -13

Answers

Answer:

3x+14x

Step-by-step explanation:

Answer:

 C

Step-by-step explanation:

If 4 Apple pies require 22 apples, how many pies can be made with 77apples?

IT IS WORTH 50 POINTS

Answers

14 apple pies
Explanation:
22/4= 5.5
77/5.5= 14

Answer:

14 apple pies

Step-by-step explanation:

5 The average low temperature for one winter day is 10°F.
The low temperature on that day was actually -2°F.
Write a subtraction problem to represent the
situation. Then write the subtraction problem as
an addition problem.


Answers

Answer:

10 - (-2) = 12, 10 + 2 = 12

Step-by-step explanation:

10 - (-2) = 12

10 + 2 = 12

What is equivalent to -2/5x=-4
A. -20
B. 1
C. -10
D. -8
E. X= -8/5

Answers

Answer:

10

Step-by-step explanation:

Multiply each side by the reciprocal, -5/2

x = -4 * -5/2

x = 20/2

x = 10

If x=9 and y=- -2 evaluate the following expression:

x+y

Answers

Answer:

x + y = 11

Step-by-step explanation:

You would need to substitute the numbers into the expression.

Evaluate means that we need to work out what the answer would be.

x + y is equivalent to 9 - - 2.

- - is equivalent to +.

Therefore you would do 9 + 2, which equals 11.

Hope this helps :)

jack has $37 and saves $6.50 per week diane has $9 and saves $8.25 per week write and solve an equation to find out how many weeks it would take for jack and diane to have saved the same amount of money

Answers

37+6.5= 9+8.25x
-1.75x = 28
X= 16

1. You are setting up a shelf display filled with present
boxes and other decor. Each shelf has a length of 116
inches and a width of 30 inches. If there are 5 shelves,
what is the total area you can use for the decor?
2. Buddy is figuring out how long his snowflake chain
around the whole store needs to be. Use the diagram
below to find the perimeter of the store! Type your
work and solution in the box under the diagram.

Answers

Answer:

1. 17,400 in²

2. ???

Step-by-step explanation:

1. If the the length of each shelf is 116 inches and the width is 30 inches then 1 shelf has 3480 in² of space. Since that's for 1 shelf and we have 5 shelves you multiply 3480 by 5 to get 17400.

2. You didn't give any diagram so I can't really help here but just add up all the side of the shape it gave you. You'll probably have to do some math to find missing sides.

  I need help on 7 and 8 plssssss

Answers

I think the domain and range are infinite
[tex]\huge \cal༆ Answer ༄[/tex]

7. Find domain ~

[tex] \sf - 6 \leqslant x < 5[/tex]

or

[tex] \sf x ∈[ - 6,5)[/tex]8. Find range ~

[tex] \sf - 2 <y \leqslant 7[/tex]

or

[tex] \sf x ∈ (-2 , 7][/tex]

This is my question pls help

Answers

Answer:

a = 15

Step-by-step explanation:

Substitute b = 12 , a = 9 into the equation

12 = [tex]\sqrt{a^2-9^2}[/tex]

12 = [tex]\sqrt{a^2-81}[/tex] ← square both sides

144 = a² - 81 ( add 81 to both sides )

225 = a² ( take square root of both sides )

± [tex]\sqrt{225}[/tex] = a , then

a = ± 15

a > 0 , so a = 15

Shonda uses a $10 off coupon to purchase a purse at Chic Mart. At the register, she signs up for a credit card which gives her 20% off her total after the coupon. If Shonda’s total was $60.00, what was the original price of the purse?

Answers

Based on the coupon and the discount, we can calculate that the original price of the purse is $85.00

The 20% was applied after the coupon so the price after the coupon was:

= Total price / ( 1 - Discount)

= 60 / ( 1 - 20%)

= $75

The coupon was $10 so before it was attached it the price was:

= Price after coupon + coupon

= 75 + 10

= $85

In conclusion, the original price was $85.

Find out more on this at https://brainly.com/question/14413529.

Find the value of x.

Answers

Answer:

x = 12

Step-by-step explanation:

Angle Bisector Theorem:  PS / PQ = RS / QR

24/14 = x/7

cross-multiply:

14x = 168

x = 12

Find the equation of the line shown.
у
10
9
8
7
6
5
4
3
2
N
O
Х
1 2 3 4 5 6 7 8 9 10

Answers

Y=2x Could I have brainliest this helps ?

The equation of the line shown is y = 4 x

What is a straight line?

A straight line is the shortest distance between two points. the equation of straight line is represented as [tex]y = mx + c[/tex]

m is the gradient

y2, y1, x2, x1 are gotten from the graph

[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

[tex]m = \frac{8 - 4}{2 - 1}[/tex]

[tex]m = \frac{4}{1}[/tex]

m = 4

c is the intercept on x-axis

from the graph c = 0

substituting the values give:

y = 4 x

read more on equation of straight line here: https://brainly.com/question/14323743

Determine the slope of the line. what does it represent about the plant?

Answers

Answer: slope is 2/3

Step-by-step explanation:

if f(x)=-x+2 find f(6)

Answers

Answer:

Answer: -4

Step-by-step explanation:

[tex]{ \rm{f(x) = - x + 2}} \\ \\ { \rm{f(6) = - (6) + 2}} \\ \\ { \rm{f(6) = - 4}}[/tex]

The value for f(6) = -4

What is the function of f(x)?

The function of f(x) is set to a term such that for every value of x, there is a unique value for it on the graph.

From the given information, we are given a function

f(x) = -x + 2

To find f(6), we replace x with 6.

f(6) = -6 + 2f(6) = -4

Learn more about function of f(x) here:

https://brainly.com/question/544653

For a system of linear equations, the solution for the system is__

Answers

For a system of linear equations, the solution for the system is____.

Answer: The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently. In this example, the ordered pair (4,7) is the solution to the system of linear equations.
Picture:

What is the reason for each step in the solution of the equation?
18x – 2x = 4x
Match the reasons with each step in the equation.
Given

Answers

Answer:

18 - 2x = 4x (Given)18 = 6x (Addtion property of equality)3 = x (Division property of equality)

Step-by-step explanation:

Given - This is the start of the proof. Use this for the information given from the start.

Addition property of equality - Use this when adding terms on both sides of an equation.

Division property of equality - Use this when dividing terms on both sides of an equation.

please answer this, click file, thank you​

Answers

Answer:

the answer is 34°

Step-by-step explanation:

a straight line = 180°

just do 180 - 146 = 34

It’s 34°
The two lines across from another are both equally 146° so it’d be the same for the other one to be 34°

ASAP HELP *Can a triangle have sides with the given lengths? Explain, showing all the work
9 cm, 11 cm, 15 cm
please Explain

Answers

Answer:

yes

Step-by-step explanation:

For the sides to form a triangle , then the sum of any 2 sides must be greater than the third side

9 + 11 = 20 > 15

9 + 15 = 24 > 11

11 + 15 = 24 > 9

The 3 sides given will form a triangle

Note that

The length of any two sides must be greater than the third side

So

9+11=16>1511+15=26>99+15=24>11

Yes it's a triangle

PLEASE HELP!

A park charges $16 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $51 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?

Answers

7 dollars each game and I know that because 10 would be 60 plus 16 which is way over and 5 would be 25 plus 16 which is incorrect 6 would be 30 which adding 16 would be 46. FINALLY ADDING 5 extra which is 7 times which is 35 plus 16 is 51.
Hope this helped
:D

Help Please !! I Need To Have This Turned In By The Next Hour , Anybody Know It !?

Answers

Answer:

no

Step-by-step explanation:

Step-by-step explanation:

Because lines are parallel you can use certain rules to determine the relationship of angle 1 & 2.

(A1 & A2 for short)

With the C shape within the parallel lines we can guarantee that the sum of A1 and A2 is equal to 180.

We can also assume A2 is less than 90° as the lines are parallel and the opposing, non parallel line is acute. With this knowledge and the C shape rule, A1 is therefore more than 90°.

Hope this helps

Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1:4:6. If 20 buckets of sand are used, how many buckets of EACH of the following will be
needed?
a)
Cement:
T
b) Gravel:

Answers

20 buckets and cement

Insert two rational number between: 2.23 bar and 2.24 bar

Answers

General method:

Given numbers are 2.23 bar and 2.24 bar

2.23 bar = 2.232323...2.24 bar = 2.242424...

Two rational numbers between them

= 2.232525... and 2.239899...

Mean Method:

Let X = 2.232323...→ → →eqn(i)

since the periodicity is 2 then multiply eqn(i) with 100

⇛100×X = 2.232323...×100

⇛100X = 223.232323...→ → →eqn(ii)

Subtract eqn(ii)- eqn(i)

100X = 223.232323...

X = 2.232323...

(-)

__________________

99X = 221.000000...

__________________

⇛99X = 221

⇛X = 221/99

and

Let X = 2.242424...→ → →eqn(i)

since the periodicity is 2 then multiply eqn(i) with 100

⇛100×X = 2.242424...×10

⇛100X = 224.242424...→ → →eqn(ii)

Subtract eqn(ii)- eqn(i)

100X = 224.242424...

X = 2.242424...

(-)

_________________

99X = 222.000000

_________________

⇛92X = 222

⇛X = 222/99

Now we have 221/99 and 222/99

The rational number between them by mean method (a+b)/2

⇛{(221/99)+(222/99)}/2

⇛(443/99)/2

⇛443/198

and Second rational number

⇛{(221/99)+(443/198)}/2

⇛{(442+443)/198}/2

⇛(885/198)/2

⇛885/396

Answer: The two rational numbers between them are 443/198 and 885/396.

also read similar questions: Give five rational numbers lying between 3/5 and 4/5. Insert six rational numbers between 3 and 4.

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calculate the simple interest and compound interest on ₹5000 for 2 years at 10% per annum. how much more is the compound interest then the simple interest?​

Answers

Answer:

Simple: 6000

Compound: 6050

Difference: 50

Step-by-step explanation:

Simple interest formula: A = P(1+rt), where A = final amount, P = initial amount, r = rate, and t = time. Plug our values in to get

A = 5000(1+10% * 2)

convert 10% to a decimal by dividing by 100 and plug that in

10% = 0.1

5000(1+0.1*2) = 5000(1.2) = A = 6000

Compound interest formula: A = P(1+r)^t

Plug our values in

5000(1+0.1)^2 = 6050

Difference = 6050 - 6000 = 50

How do you turn 48% in to a decimal?​

Answers

Divide 48 by 100 to get it into decimal form, which is 48.

Answer:

0.48

Step-by-step explanation:

Since a percent is ALWAYS a part of the number 1, this makes it to where you must multiply by 100 in order to convert a percent into a decimal. In this case, 48%(100) is 0.48.

In the figure below, a tangent and a secant are drawn to a circle from exterior point E.
Suppose that EG = 13 and ED=26. Find CD.

Answers

Answer:

 19.5 = CD

Step-by-step explanation:

The square of the tangent = (length of the secant)(the length of the outside part of the secant)

EG² = (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

6.5 = EC

Now ED = EC + CD

        26 = 6.5 + CD

         19.5 = CD

The value of the segment CD will be equal to 19.5.

What is secant and tangent?

The relationship between the line segments produced by a secant and a tangent line and the corresponding circle is described by the tangent-secant theorem.

The square of the tangent = (length of the secant)(the length of the outside part of the secant)

It is given that In the figure below, a tangent and a secant are drawn to a circle from exterior point E. Suppose that EG = 13 and ED=26.

The value of the segment CD will be calculated as below:-

EG² = (ED)(EC)

13² = (26)(EC)

169 = 26EC

169/26 = EC

6.5 = EC

Calculate CD.

ED = EC + CD

26 = 6.5 + CD

19.5 = CD

Therefore, the value of the segment CD will be equal to 19.5.

To know more about secant and tangent follow

https://brainly.com/question/1550440

#SPJ5

I need help with this

Answers

Answer:

What do you need help with? Try uploading a picture or copying the question

In a bag of candies, the total number of yellow candies and blue candies is 75. The number of yellow candies is
15 more than twice the number of blue candies. How many yellow candies are in the bag?
Help!!

Answers

Answer:

Step-by-step explanation: 2x+15 = 75

                                             2x=60

                                              x=30 blue candies

                                              30 + 15 = 45 yellow candies in the bag

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