1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jeka94
3 years ago
14

What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

(10, 15)

Step-by-step explanation:

To get the origin of the equation 2y+3x = 10, we need to get the x and y-intercept of the line.

x-intercept occurs at y = 0

If y = 0

2(0)+3x =10

3x =10

x = 10/3

x = 1.33

y-intercept occurs at x = 0

If x = 0

2y+3(0) =10

2y =10

y = 10/2

y = 5

Hence the coordinate at the origin is (10/3, 5). If this coordinate is dilated by 3, the required coordinate will be at (10/3*3, 5*3) = (10, 15)

Hence the required coordinate is (10, 15)

You might be interested in
Whats 2+2+9+7+10+67+89+572+53+4=?
Sav [38]

Step-by-step explanation:

815..............…......…

7 0
3 years ago
Read 2 more answers
Is the following conditional true?
kakasveta [241]

Answer:

Yes

Step-by-step explanation:

3 0
3 years ago
Divide: 8x^3 y^5 / 4x^2 y^3
prisoha [69]

2 {x}^{5}  {y}^{8}

Step-by-step explanation:

yes

3 0
2 years ago
Which expression is equivalent to
Norma-Jean [14]

Answer:

40x^6

Step-by-step explanation: took the test


5 0
3 years ago
Read 2 more answers
The height of a rectangular prism is half its width The width of the prism is 1/3 of its length If the width of the prism is 3 c
Leno4ka [110]

Answer:

40.5 centimeters.

Step-by-step explanation:

Given:

The width of the prism is 3 centimeters.

The width of the prism is 1/3 of its length.

The height of a rectangular prism is half its width.

To find:

<u>Volume of a rectangular prism = ?</u>

Solution:

Width of the prism = 3 cm

As given, height of a rectangular prism is half its width.

height of a rectangular prism = \frac{1}{2} \times3=\frac{3}{2} \ cm

Similarly, as given, the width of the prism is 1/3 of its length.

Width of the prism = \frac{1}{3}\  of\ length

                            3=\frac{1}{3}\times length

By multiplying both sides by 3

                            3\times3=\frac{1}{3} \times3\ length\\9= length\\

Thus, length of prism = 9 cm

Now, as we know:

Volume\ of\ rectangular\ prism=length\times breadth\times height

                                                 =9\times3\times\frac{3}{2} \\\\ =\frac{81}{2} \\ \\ =40.5\ cm

Therefore, the volume of a rectangular prism is 40.5 centimeters.

3 0
3 years ago
Other questions:
  • Please answer.
    11·2 answers
  • Can someone help me with this please
    13·1 answer
  • Which of the following accurately lists all discontinuities of the function below?
    6·2 answers
  • Which model represent the factors of 4x^2-9
    7·1 answer
  • Miles has a train collection with 36 engines, 72 boxcars, and 18 cabooses. He wants to arrange the train cars in equal rows with
    6·1 answer
  • Matching the Transformed Function to its Graph
    13·2 answers
  • Sabeena’s pen measures 144 millimeters long. Her pencil measures 18 centimeters long. How many centimeters longer is Sabeena’s p
    14·2 answers
  • HELP <br> Please don’t answer if you don’t know it.
    12·2 answers
  • 1. True or false: A function is a rule that assigns each input exactly one
    7·1 answer
  • Find the mean of the data
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!